Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, and 4620

How to find factors of a number

1. Steps to find factors of 4620 using Division Method

Example: Find factors of 4620

  • Divide 4620 by 1: 4620 ÷ 1 : Remainder = 0
  • Divide 4620 by 2: 4620 ÷ 2 : Remainder = 0
  • Divide 4620 by 3: 4620 ÷ 3 : Remainder = 0
  • Divide 4620 by 4: 4620 ÷ 4 : Remainder = 0
  • Divide 4620 by 5: 4620 ÷ 5 : Remainder = 0
  • Divide 4620 by 6: 4620 ÷ 6 : Remainder = 0
  • Divide 4620 by 7: 4620 ÷ 7 : Remainder = 0
  • Divide 4620 by 10: 4620 ÷ 10 : Remainder = 0
  • Divide 4620 by 11: 4620 ÷ 11 : Remainder = 0
  • Divide 4620 by 12: 4620 ÷ 12 : Remainder = 0
  • Divide 4620 by 14: 4620 ÷ 14 : Remainder = 0
  • Divide 4620 by 15: 4620 ÷ 15 : Remainder = 0
  • Divide 4620 by 20: 4620 ÷ 20 : Remainder = 0
  • Divide 4620 by 21: 4620 ÷ 21 : Remainder = 0
  • Divide 4620 by 22: 4620 ÷ 22 : Remainder = 0
  • Divide 4620 by 28: 4620 ÷ 28 : Remainder = 0
  • Divide 4620 by 30: 4620 ÷ 30 : Remainder = 0
  • Divide 4620 by 33: 4620 ÷ 33 : Remainder = 0
  • Divide 4620 by 35: 4620 ÷ 35 : Remainder = 0
  • Divide 4620 by 42: 4620 ÷ 42 : Remainder = 0
  • Divide 4620 by 44: 4620 ÷ 44 : Remainder = 0
  • Divide 4620 by 55: 4620 ÷ 55 : Remainder = 0
  • Divide 4620 by 60: 4620 ÷ 60 : Remainder = 0
  • Divide 4620 by 66: 4620 ÷ 66 : Remainder = 0
  • Divide 4620 by 70: 4620 ÷ 70 : Remainder = 0
  • Divide 4620 by 77: 4620 ÷ 77 : Remainder = 0
  • Divide 4620 by 84: 4620 ÷ 84 : Remainder = 0
  • Divide 4620 by 105: 4620 ÷ 105 : Remainder = 0
  • Divide 4620 by 110: 4620 ÷ 110 : Remainder = 0
  • Divide 4620 by 132: 4620 ÷ 132 : Remainder = 0
  • Divide 4620 by 140: 4620 ÷ 140 : Remainder = 0
  • Divide 4620 by 154: 4620 ÷ 154 : Remainder = 0
  • Divide 4620 by 165: 4620 ÷ 165 : Remainder = 0
  • Divide 4620 by 210: 4620 ÷ 210 : Remainder = 0
  • Divide 4620 by 220: 4620 ÷ 220 : Remainder = 0
  • Divide 4620 by 231: 4620 ÷ 231 : Remainder = 0
  • Divide 4620 by 308: 4620 ÷ 308 : Remainder = 0
  • Divide 4620 by 330: 4620 ÷ 330 : Remainder = 0
  • Divide 4620 by 385: 4620 ÷ 385 : Remainder = 0
  • Divide 4620 by 420: 4620 ÷ 420 : Remainder = 0
  • Divide 4620 by 462: 4620 ÷ 462 : Remainder = 0
  • Divide 4620 by 660: 4620 ÷ 660 : Remainder = 0
  • Divide 4620 by 770: 4620 ÷ 770 : Remainder = 0
  • Divide 4620 by 924: 4620 ÷ 924 : Remainder = 0
  • Divide 4620 by 1155: 4620 ÷ 1155 : Remainder = 0
  • Divide 4620 by 1540: 4620 ÷ 1540 : Remainder = 0
  • Divide 4620 by 2310: 4620 ÷ 2310 : Remainder = 0
  • Divide 4620 by 4620: 4620 ÷ 4620 : Remainder = 0

Hence, Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, and 4620

2. Steps to find factors of 4620 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 4620 using the division method, follow these steps:

  • Step 1. Start dividing 4620 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 4620, which is 2. Divide 4620 by 2 to obtain the quotient (2310).
    4620 ÷ 2 = 2310
  • Step 3. Repeat step 1 with the obtained quotient (2310).
    2310 ÷ 2 = 1155
    1155 ÷ 3 = 385
    385 ÷ 5 = 77
    77 ÷ 7 = 11
    11 ÷ 11 = 1

So, the prime factorization of 4620 is, 4620 = 2 x 2 x 3 x 5 x 7 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 4620 as shown below:

So, the prime factorization of 4620 is, 4620 = 2 x 2 x 3 x 5 x 7 x 11.

3. Find factors of 4620 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 4620 would be the two numbers which, when multiplied, give 4620 as the result.

The following table represents the calculation of factors of 4620 in pairs:

Factor Pair Pair Factorization
1 and 4620 1 x 4620 = 4620
2 and 2310 2 x 2310 = 4620
3 and 1540 3 x 1540 = 4620
4 and 1155 4 x 1155 = 4620
5 and 924 5 x 924 = 4620
6 and 770 6 x 770 = 4620
7 and 660 7 x 660 = 4620
10 and 462 10 x 462 = 4620
11 and 420 11 x 420 = 4620
12 and 385 12 x 385 = 4620
14 and 330 14 x 330 = 4620
15 and 308 15 x 308 = 4620
20 and 231 20 x 231 = 4620
21 and 220 21 x 220 = 4620
22 and 210 22 x 210 = 4620
28 and 165 28 x 165 = 4620
30 and 154 30 x 154 = 4620
33 and 140 33 x 140 = 4620
35 and 132 35 x 132 = 4620
42 and 110 42 x 110 = 4620
44 and 105 44 x 105 = 4620
55 and 84 55 x 84 = 4620
60 and 77 60 x 77 = 4620
66 and 70 66 x 70 = 4620

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 4620. They are called negative pair factors.

Hence, the negative pairs of 4620 would be ( -1 , -4620 ) , ( -2 , -2310 ) , ( -3 , -1540 ) , ( -4 , -1155 ) , ( -5 , -924 ) , ( -6 , -770 ) , ( -7 , -660 ) , ( -10 , -462 ) , ( -11 , -420 ) , ( -12 , -385 ) , ( -14 , -330 ) , ( -15 , -308 ) , ( -20 , -231 ) , ( -21 , -220 ) , ( -22 , -210 ) , ( -28 , -165 ) , ( -30 , -154 ) , ( -33 , -140 ) , ( -35 , -132 ) , ( -42 , -110 ) , ( -44 , -105 ) , ( -55 , -84 ) , ( -60 , -77 ) and ( -66 , -70 ) .

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. 4620 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 4620.
  • Every number is a factor of zero (0), since 4620 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, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620 are exact divisors of 4620.
  • Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620. Each factor divides 4620 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, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620 are all less than or equal to 4620.

Frequently Asked Questions

  • What are the prime factors of 4620?

    The factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620.
    Prime factors of 4620 are 2, 2, 3, 5, 7, 11.

  • What two numbers make 4620?

    Two numbers that make 4620 are 2 and 2310.

  • What is the greatest prime factors of 4620?

    The greatest prime factor of 4620 is 11.

  • What are factors of 4620?

    Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620.

  • How do you find factors of a negative number? ( eg. -4620 )?

    Factors of -4620 are -1, -2, -3, -4, -5, -6, -7, -10, -11, -12, -14, -15, -20, -21, -22, -28, -30, -33, -35, -42, -44, -55, -60, -66, -70, -77, -84, -105, -110, -132, -140, -154, -165, -210, -220, -231, -308, -330, -385, -420, -462, -660, -770, -924, -1155, -1540, -2310, -4620.

  • What are five multiples of 4620?

    First five multiples of 4620 are 9240, 13860, 18480, 23100, 27720.

  • Write some multiples of 4620?

    First five multiples of 4620 are 9240, 13860, 18480, 23100.

  • Is 4620 a perfect square?

    No 4620 is not a perfect square.

  • What two numbers make 4620?

    Two numbers that make 4620 are 2 and 2310.

Examples of Factors

What is prime factorization of 4620?

Prime factorization of 4620 is 2 x 2 x 3 x 5 x 7 x 11 = 22 x 3 x 5 x 7 x 11.

Sammy is puzzled while calculating the prime factors of 4620. Can you help him find them?

Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620.
Prime factors of 4620 are 2, 2, 3, 5, 7, 11

Kevin has been asked to write 47 factor(s) of 4620. Can you predict the answer?

47 factor(s) of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310.

Joey wants to write all the prime factors of 4620 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 4620 are 2, 2, 3, 5, 7, 11.
So in exponential form it can be written as 22 x 3 x 5 x 7 x 11.

How many factors are there for 4620?

Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620.
So there are in total 48 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 4620? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620.
Negative factors are -1, -2, -3, -4, -5, -6, -7, -10, -11, -12, -14, -15, -20, -21, -22, -28, -30, -33, -35, -42, -44, -55, -60, -66, -70, -77, -84, -105, -110, -132, -140, -154, -165, -210, -220, -231, -308, -330, -385, -420, -462, -660, -770, -924, -1155, -1540, -2310, -4620.

Can you help Rubel to find out the product of the even factors of 4620?

Factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620.
Even factors of 4620 are 2, 4, 6, 10, 12, 14, 20, 22, 28, 30, 42, 44, 60, 66, 70, 84, 110, 132, 140, 154, 210, 220, 308, 330, 420, 462, 660, 770, 924, 1540, 2310, 4620.
Hence, product of even factors of 4620 is; 2 x 4 x 6 x 10 x 12 x 14 x 20 x 22 x 28 x 30 x 42 x 44 x 60 x 66 x 70 x 84 x 110 x 132 x 140 x 154 x 210 x 220 x 308 x 330 x 420 x 462 x 660 x 770 x 924 x 1540 x 2310 x 4620 = 2.823264319349012e+63.