Factors of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, and 38220

How to find factors of a number

1. Steps to find factors of 38220 using Division Method

Example: Find factors of 38220

  • Divide 38220 by 1: 38220 ÷ 1 : Remainder = 0
  • Divide 38220 by 2: 38220 ÷ 2 : Remainder = 0
  • Divide 38220 by 3: 38220 ÷ 3 : Remainder = 0
  • Divide 38220 by 4: 38220 ÷ 4 : Remainder = 0
  • Divide 38220 by 5: 38220 ÷ 5 : Remainder = 0
  • Divide 38220 by 6: 38220 ÷ 6 : Remainder = 0
  • Divide 38220 by 7: 38220 ÷ 7 : Remainder = 0
  • Divide 38220 by 10: 38220 ÷ 10 : Remainder = 0
  • Divide 38220 by 12: 38220 ÷ 12 : Remainder = 0
  • Divide 38220 by 13: 38220 ÷ 13 : Remainder = 0
  • Divide 38220 by 14: 38220 ÷ 14 : Remainder = 0
  • Divide 38220 by 15: 38220 ÷ 15 : Remainder = 0
  • Divide 38220 by 20: 38220 ÷ 20 : Remainder = 0
  • Divide 38220 by 21: 38220 ÷ 21 : Remainder = 0
  • Divide 38220 by 26: 38220 ÷ 26 : Remainder = 0
  • Divide 38220 by 28: 38220 ÷ 28 : Remainder = 0
  • Divide 38220 by 30: 38220 ÷ 30 : Remainder = 0
  • Divide 38220 by 35: 38220 ÷ 35 : Remainder = 0
  • Divide 38220 by 39: 38220 ÷ 39 : Remainder = 0
  • Divide 38220 by 42: 38220 ÷ 42 : Remainder = 0
  • Divide 38220 by 49: 38220 ÷ 49 : Remainder = 0
  • Divide 38220 by 52: 38220 ÷ 52 : Remainder = 0
  • Divide 38220 by 60: 38220 ÷ 60 : Remainder = 0
  • Divide 38220 by 65: 38220 ÷ 65 : Remainder = 0
  • Divide 38220 by 70: 38220 ÷ 70 : Remainder = 0
  • Divide 38220 by 78: 38220 ÷ 78 : Remainder = 0
  • Divide 38220 by 84: 38220 ÷ 84 : Remainder = 0
  • Divide 38220 by 91: 38220 ÷ 91 : Remainder = 0
  • Divide 38220 by 98: 38220 ÷ 98 : Remainder = 0
  • Divide 38220 by 105: 38220 ÷ 105 : Remainder = 0
  • Divide 38220 by 130: 38220 ÷ 130 : Remainder = 0
  • Divide 38220 by 140: 38220 ÷ 140 : Remainder = 0
  • Divide 38220 by 147: 38220 ÷ 147 : Remainder = 0
  • Divide 38220 by 156: 38220 ÷ 156 : Remainder = 0
  • Divide 38220 by 182: 38220 ÷ 182 : Remainder = 0
  • Divide 38220 by 195: 38220 ÷ 195 : Remainder = 0
  • Divide 38220 by 196: 38220 ÷ 196 : Remainder = 0
  • Divide 38220 by 210: 38220 ÷ 210 : Remainder = 0
  • Divide 38220 by 245: 38220 ÷ 245 : Remainder = 0
  • Divide 38220 by 260: 38220 ÷ 260 : Remainder = 0
  • Divide 38220 by 273: 38220 ÷ 273 : Remainder = 0
  • Divide 38220 by 294: 38220 ÷ 294 : Remainder = 0
  • Divide 38220 by 364: 38220 ÷ 364 : Remainder = 0
  • Divide 38220 by 390: 38220 ÷ 390 : Remainder = 0
  • Divide 38220 by 420: 38220 ÷ 420 : Remainder = 0
  • Divide 38220 by 455: 38220 ÷ 455 : Remainder = 0
  • Divide 38220 by 490: 38220 ÷ 490 : Remainder = 0
  • Divide 38220 by 546: 38220 ÷ 546 : Remainder = 0
  • Divide 38220 by 588: 38220 ÷ 588 : Remainder = 0
  • Divide 38220 by 637: 38220 ÷ 637 : Remainder = 0
  • Divide 38220 by 735: 38220 ÷ 735 : Remainder = 0
  • Divide 38220 by 780: 38220 ÷ 780 : Remainder = 0
  • Divide 38220 by 910: 38220 ÷ 910 : Remainder = 0
  • Divide 38220 by 980: 38220 ÷ 980 : Remainder = 0
  • Divide 38220 by 1092: 38220 ÷ 1092 : Remainder = 0
  • Divide 38220 by 1274: 38220 ÷ 1274 : Remainder = 0
  • Divide 38220 by 1365: 38220 ÷ 1365 : Remainder = 0
  • Divide 38220 by 1470: 38220 ÷ 1470 : Remainder = 0
  • Divide 38220 by 1820: 38220 ÷ 1820 : Remainder = 0
  • Divide 38220 by 1911: 38220 ÷ 1911 : Remainder = 0
  • Divide 38220 by 2548: 38220 ÷ 2548 : Remainder = 0
  • Divide 38220 by 2730: 38220 ÷ 2730 : Remainder = 0
  • Divide 38220 by 2940: 38220 ÷ 2940 : Remainder = 0
  • Divide 38220 by 3185: 38220 ÷ 3185 : Remainder = 0
  • Divide 38220 by 3822: 38220 ÷ 3822 : Remainder = 0
  • Divide 38220 by 5460: 38220 ÷ 5460 : Remainder = 0
  • Divide 38220 by 6370: 38220 ÷ 6370 : Remainder = 0
  • Divide 38220 by 7644: 38220 ÷ 7644 : Remainder = 0
  • Divide 38220 by 9555: 38220 ÷ 9555 : Remainder = 0
  • Divide 38220 by 12740: 38220 ÷ 12740 : Remainder = 0
  • Divide 38220 by 19110: 38220 ÷ 19110 : Remainder = 0
  • Divide 38220 by 38220: 38220 ÷ 38220 : Remainder = 0

Hence, Factors of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, and 38220

2. Steps to find factors of 38220 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 38220 using the division method, follow these steps:

  • Step 1. Start dividing 38220 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 38220, which is 2. Divide 38220 by 2 to obtain the quotient (19110).
    38220 ÷ 2 = 19110
  • Step 3. Repeat step 1 with the obtained quotient (19110).
    19110 ÷ 2 = 9555
    9555 ÷ 3 = 3185
    3185 ÷ 5 = 637
    637 ÷ 7 = 91
    91 ÷ 7 = 13
    13 ÷ 13 = 1

So, the prime factorization of 38220 is, 38220 = 2 x 2 x 3 x 5 x 7 x 7 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 38220 as shown below:

So, the prime factorization of 38220 is, 38220 = 2 x 2 x 3 x 5 x 7 x 7 x 13.

3. Find factors of 38220 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 38220 would be the two numbers which, when multiplied, give 38220 as the result.

The following table represents the calculation of factors of 38220 in pairs:

Factor Pair Pair Factorization
1 and 38220 1 x 38220 = 38220
2 and 19110 2 x 19110 = 38220
3 and 12740 3 x 12740 = 38220
4 and 9555 4 x 9555 = 38220
5 and 7644 5 x 7644 = 38220
6 and 6370 6 x 6370 = 38220
7 and 5460 7 x 5460 = 38220
10 and 3822 10 x 3822 = 38220
12 and 3185 12 x 3185 = 38220
13 and 2940 13 x 2940 = 38220
14 and 2730 14 x 2730 = 38220
15 and 2548 15 x 2548 = 38220
20 and 1911 20 x 1911 = 38220
21 and 1820 21 x 1820 = 38220
26 and 1470 26 x 1470 = 38220
28 and 1365 28 x 1365 = 38220
30 and 1274 30 x 1274 = 38220
35 and 1092 35 x 1092 = 38220
39 and 980 39 x 980 = 38220
42 and 910 42 x 910 = 38220
49 and 780 49 x 780 = 38220
52 and 735 52 x 735 = 38220
60 and 637 60 x 637 = 38220
65 and 588 65 x 588 = 38220
70 and 546 70 x 546 = 38220
78 and 490 78 x 490 = 38220
84 and 455 84 x 455 = 38220
91 and 420 91 x 420 = 38220
98 and 390 98 x 390 = 38220
105 and 364 105 x 364 = 38220
130 and 294 130 x 294 = 38220
140 and 273 140 x 273 = 38220
147 and 260 147 x 260 = 38220
156 and 245 156 x 245 = 38220
182 and 210 182 x 210 = 38220
195 and 196 195 x 196 = 38220

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 38220. They are called negative pair factors.

Hence, the negative pairs of 38220 would be ( -1 , -38220 ) , ( -2 , -19110 ) , ( -3 , -12740 ) , ( -4 , -9555 ) , ( -5 , -7644 ) , ( -6 , -6370 ) , ( -7 , -5460 ) , ( -10 , -3822 ) , ( -12 , -3185 ) , ( -13 , -2940 ) , ( -14 , -2730 ) , ( -15 , -2548 ) , ( -20 , -1911 ) , ( -21 , -1820 ) , ( -26 , -1470 ) , ( -28 , -1365 ) , ( -30 , -1274 ) , ( -35 , -1092 ) , ( -39 , -980 ) , ( -42 , -910 ) , ( -49 , -780 ) , ( -52 , -735 ) , ( -60 , -637 ) , ( -65 , -588 ) , ( -70 , -546 ) , ( -78 , -490 ) , ( -84 , -455 ) , ( -91 , -420 ) , ( -98 , -390 ) , ( -105 , -364 ) , ( -130 , -294 ) , ( -140 , -273 ) , ( -147 , -260 ) , ( -156 , -245 ) , ( -182 , -210 ) and ( -195 , -196 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 38220 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 38220.
  • Every number is a factor of zero (0), since 38220 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220 are exact divisors of 38220.
  • Factors of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220. Each factor divides 38220 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220 are all less than or equal to 38220.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -38220 )?

    Factors of -38220 are -1, -2, -3, -4, -5, -6, -7, -10, -12, -13, -14, -15, -20, -21, -26, -28, -30, -35, -39, -42, -49, -52, -60, -65, -70, -78, -84, -91, -98, -105, -130, -140, -147, -156, -182, -195, -196, -210, -245, -260, -273, -294, -364, -390, -420, -455, -490, -546, -588, -637, -735, -780, -910, -980, -1092, -1274, -1365, -1470, -1820, -1911, -2548, -2730, -2940, -3185, -3822, -5460, -6370, -7644, -9555, -12740, -19110, -38220.

  • What is the sum of all factors of 38220?

    The sum of all factors of 38220 is 134064.

  • What is prime factorization of 38220?

    Prime factorization of 38220 is 2 x 2 x 3 x 5 x 7 x 7 x 13.

  • What are the pair factors of 38220?

    Pair factors of 38220 are (1,38220), (2,19110), (3,12740), (4,9555), (5,7644), (6,6370), (7,5460), (10,3822), (12,3185), (13,2940), (14,2730), (15,2548), (20,1911), (21,1820), (26,1470), (28,1365), (30,1274), (35,1092), (39,980), (42,910), (49,780), (52,735), (60,637), (65,588), (70,546), (78,490), (84,455), (91,420), (98,390), (105,364), (130,294), (140,273), (147,260), (156,245), (182,210), (195,196).

  • What are six multiples of 38220?

    First five multiples of 38220 are 76440, 114660, 152880, 191100, 229320, 267540.

  • Is 38220 a whole number?

    Yes 38220 is a whole number.

  • Which is the smallest prime factor of 38220?

    Smallest prime factor of 38220 is 2.

  • What are five multiples of 38220?

    First five multiples of 38220 are 76440, 114660, 152880, 191100, 229320.

  • Write all factors of 38220?

    Factors of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220.

Examples of Factors

Joey wants to write all the prime factors of 38220 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 38220 are 2, 2, 3, 5, 7, 7, 13.
So in exponential form it can be written as 22 x 3 x 5 x 72 x 13.

How many factors are there for 38220?

Factors of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220.
So there are in total 72 factors.

Kevin has been asked to write 71 factor(s) of 38220. Can you predict the answer?

71 factor(s) of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110.

Sammy is puzzled while calculating the prime factors of 38220. Can you help him find them?

Factors of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220.
Prime factors of 38220 are 2, 2, 3, 5, 7, 7, 13

What is prime factorization of 38220?

Prime factorization of 38220 is 2 x 2 x 3 x 5 x 7 x 7 x 13 = 22 x 3 x 5 x 72 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 38220. Can you help her?

Prime factors of 38220 are 2, 2, 3, 5, 7, 7, 13.
Hence, the product of prime factors of 2730.

Can you help Rubel to find out the product of the even factors of 38220?

Factors of 38220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822, 5460, 6370, 7644, 9555, 12740, 19110, 38220.
Even factors of 38220 are 2, 4, 6, 10, 12, 14, 20, 26, 28, 30, 42, 52, 60, 70, 78, 84, 98, 130, 140, 156, 182, 196, 210, 260, 294, 364, 390, 420, 490, 546, 588, 780, 910, 980, 1092, 1274, 1470, 1820, 2548, 2730, 2940, 3822, 5460, 6370, 7644, 12740, 19110, 38220.
Hence, product of even factors of 38220 is; 2 x 4 x 6 x 10 x 12 x 14 x 20 x 26 x 28 x 30 x 42 x 52 x 60 x 70 x 78 x 84 x 98 x 130 x 140 x 156 x 182 x 196 x 210 x 260 x 294 x 364 x 390 x 420 x 490 x 546 x 588 x 780 x 910 x 980 x 1092 x 1274 x 1470 x 1820 x 2548 x 2730 x 2940 x 3822 x 5460 x 6370 x 7644 x 12740 x 19110 x 38220 = 1.583785203264789e+117.