Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, and 7920

How to find factors of a number

1. Steps to find factors of 7920 using Division Method

Example: Find factors of 7920

  • Divide 7920 by 1: 7920 ÷ 1 : Remainder = 0
  • Divide 7920 by 2: 7920 ÷ 2 : Remainder = 0
  • Divide 7920 by 3: 7920 ÷ 3 : Remainder = 0
  • Divide 7920 by 4: 7920 ÷ 4 : Remainder = 0
  • Divide 7920 by 5: 7920 ÷ 5 : Remainder = 0
  • Divide 7920 by 6: 7920 ÷ 6 : Remainder = 0
  • Divide 7920 by 8: 7920 ÷ 8 : Remainder = 0
  • Divide 7920 by 9: 7920 ÷ 9 : Remainder = 0
  • Divide 7920 by 10: 7920 ÷ 10 : Remainder = 0
  • Divide 7920 by 11: 7920 ÷ 11 : Remainder = 0
  • Divide 7920 by 12: 7920 ÷ 12 : Remainder = 0
  • Divide 7920 by 15: 7920 ÷ 15 : Remainder = 0
  • Divide 7920 by 16: 7920 ÷ 16 : Remainder = 0
  • Divide 7920 by 18: 7920 ÷ 18 : Remainder = 0
  • Divide 7920 by 20: 7920 ÷ 20 : Remainder = 0
  • Divide 7920 by 22: 7920 ÷ 22 : Remainder = 0
  • Divide 7920 by 24: 7920 ÷ 24 : Remainder = 0
  • Divide 7920 by 30: 7920 ÷ 30 : Remainder = 0
  • Divide 7920 by 33: 7920 ÷ 33 : Remainder = 0
  • Divide 7920 by 36: 7920 ÷ 36 : Remainder = 0
  • Divide 7920 by 40: 7920 ÷ 40 : Remainder = 0
  • Divide 7920 by 44: 7920 ÷ 44 : Remainder = 0
  • Divide 7920 by 45: 7920 ÷ 45 : Remainder = 0
  • Divide 7920 by 48: 7920 ÷ 48 : Remainder = 0
  • Divide 7920 by 55: 7920 ÷ 55 : Remainder = 0
  • Divide 7920 by 60: 7920 ÷ 60 : Remainder = 0
  • Divide 7920 by 66: 7920 ÷ 66 : Remainder = 0
  • Divide 7920 by 72: 7920 ÷ 72 : Remainder = 0
  • Divide 7920 by 80: 7920 ÷ 80 : Remainder = 0
  • Divide 7920 by 88: 7920 ÷ 88 : Remainder = 0
  • Divide 7920 by 90: 7920 ÷ 90 : Remainder = 0
  • Divide 7920 by 99: 7920 ÷ 99 : Remainder = 0
  • Divide 7920 by 110: 7920 ÷ 110 : Remainder = 0
  • Divide 7920 by 120: 7920 ÷ 120 : Remainder = 0
  • Divide 7920 by 132: 7920 ÷ 132 : Remainder = 0
  • Divide 7920 by 144: 7920 ÷ 144 : Remainder = 0
  • Divide 7920 by 165: 7920 ÷ 165 : Remainder = 0
  • Divide 7920 by 176: 7920 ÷ 176 : Remainder = 0
  • Divide 7920 by 180: 7920 ÷ 180 : Remainder = 0
  • Divide 7920 by 198: 7920 ÷ 198 : Remainder = 0
  • Divide 7920 by 220: 7920 ÷ 220 : Remainder = 0
  • Divide 7920 by 240: 7920 ÷ 240 : Remainder = 0
  • Divide 7920 by 264: 7920 ÷ 264 : Remainder = 0
  • Divide 7920 by 330: 7920 ÷ 330 : Remainder = 0
  • Divide 7920 by 360: 7920 ÷ 360 : Remainder = 0
  • Divide 7920 by 396: 7920 ÷ 396 : Remainder = 0
  • Divide 7920 by 440: 7920 ÷ 440 : Remainder = 0
  • Divide 7920 by 495: 7920 ÷ 495 : Remainder = 0
  • Divide 7920 by 528: 7920 ÷ 528 : Remainder = 0
  • Divide 7920 by 660: 7920 ÷ 660 : Remainder = 0
  • Divide 7920 by 720: 7920 ÷ 720 : Remainder = 0
  • Divide 7920 by 792: 7920 ÷ 792 : Remainder = 0
  • Divide 7920 by 880: 7920 ÷ 880 : Remainder = 0
  • Divide 7920 by 990: 7920 ÷ 990 : Remainder = 0
  • Divide 7920 by 1320: 7920 ÷ 1320 : Remainder = 0
  • Divide 7920 by 1584: 7920 ÷ 1584 : Remainder = 0
  • Divide 7920 by 1980: 7920 ÷ 1980 : Remainder = 0
  • Divide 7920 by 2640: 7920 ÷ 2640 : Remainder = 0
  • Divide 7920 by 3960: 7920 ÷ 3960 : Remainder = 0
  • Divide 7920 by 7920: 7920 ÷ 7920 : Remainder = 0

Hence, Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, and 7920

2. Steps to find factors of 7920 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 7920 using the division method, follow these steps:

  • Step 1. Start dividing 7920 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 7920, which is 2. Divide 7920 by 2 to obtain the quotient (3960).
    7920 ÷ 2 = 3960
  • Step 3. Repeat step 1 with the obtained quotient (3960).
    3960 ÷ 2 = 1980
    1980 ÷ 2 = 990
    990 ÷ 2 = 495
    495 ÷ 3 = 165
    165 ÷ 3 = 55
    55 ÷ 5 = 11
    11 ÷ 11 = 1

So, the prime factorization of 7920 is, 7920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 7920 as shown below:

So, the prime factorization of 7920 is, 7920 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11.

3. Find factors of 7920 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 7920 would be the two numbers which, when multiplied, give 7920 as the result.

The following table represents the calculation of factors of 7920 in pairs:

Factor Pair Pair Factorization
1 and 7920 1 x 7920 = 7920
2 and 3960 2 x 3960 = 7920
3 and 2640 3 x 2640 = 7920
4 and 1980 4 x 1980 = 7920
5 and 1584 5 x 1584 = 7920
6 and 1320 6 x 1320 = 7920
8 and 990 8 x 990 = 7920
9 and 880 9 x 880 = 7920
10 and 792 10 x 792 = 7920
11 and 720 11 x 720 = 7920
12 and 660 12 x 660 = 7920
15 and 528 15 x 528 = 7920
16 and 495 16 x 495 = 7920
18 and 440 18 x 440 = 7920
20 and 396 20 x 396 = 7920
22 and 360 22 x 360 = 7920
24 and 330 24 x 330 = 7920
30 and 264 30 x 264 = 7920
33 and 240 33 x 240 = 7920
36 and 220 36 x 220 = 7920
40 and 198 40 x 198 = 7920
44 and 180 44 x 180 = 7920
45 and 176 45 x 176 = 7920
48 and 165 48 x 165 = 7920
55 and 144 55 x 144 = 7920
60 and 132 60 x 132 = 7920
66 and 120 66 x 120 = 7920
72 and 110 72 x 110 = 7920
80 and 99 80 x 99 = 7920
88 and 90 88 x 90 = 7920

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 7920. They are called negative pair factors.

Hence, the negative pairs of 7920 would be ( -1 , -7920 ) , ( -2 , -3960 ) , ( -3 , -2640 ) , ( -4 , -1980 ) , ( -5 , -1584 ) , ( -6 , -1320 ) , ( -8 , -990 ) , ( -9 , -880 ) , ( -10 , -792 ) , ( -11 , -720 ) , ( -12 , -660 ) , ( -15 , -528 ) , ( -16 , -495 ) , ( -18 , -440 ) , ( -20 , -396 ) , ( -22 , -360 ) , ( -24 , -330 ) , ( -30 , -264 ) , ( -33 , -240 ) , ( -36 , -220 ) , ( -40 , -198 ) , ( -44 , -180 ) , ( -45 , -176 ) , ( -48 , -165 ) , ( -55 , -144 ) , ( -60 , -132 ) , ( -66 , -120 ) , ( -72 , -110 ) , ( -80 , -99 ) and ( -88 , -90 ) .

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. 7920 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 7920.
  • Every number is a factor of zero (0), since 7920 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, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920 are exact divisors of 7920.
  • Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920. Each factor divides 7920 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920 are all less than or equal to 7920.

Frequently Asked Questions

  • Which is the smallest prime factor of 7920?

    Smallest prime factor of 7920 is 2.

  • Is 7920 a perfect square?

    No 7920 is not a perfect square.

  • What are five multiples of 7920?

    First five multiples of 7920 are 15840, 23760, 31680, 39600, 47520.

  • What is prime factorization of 7920?

    Prime factorization of 7920 is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11.

  • What are factors of 7920?

    Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.

  • How do you find factors of a negative number? ( eg. -7920 )?

    Factors of -7920 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -15, -16, -18, -20, -22, -24, -30, -33, -36, -40, -44, -45, -48, -55, -60, -66, -72, -80, -88, -90, -99, -110, -120, -132, -144, -165, -176, -180, -198, -220, -240, -264, -330, -360, -396, -440, -495, -528, -660, -720, -792, -880, -990, -1320, -1584, -1980, -2640, -3960, -7920.

  • Is 7920 a whole number?

    Yes 7920 is a whole number.

  • Which is greatest factor of 7920?

    The greatest factor of 7920 is 3960.

  • What are the prime factors of 7920?

    The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.
    Prime factors of 7920 are 2, 2, 2, 2, 3, 3, 5, 11.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 7920. Can you help her?

Prime factors of 7920 are 2, 2, 2, 2, 3, 3, 5, 11.
Hence, the product of prime factors of 330.

Can you help Rubel to find out the product of the even factors of 7920?

Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.
Even factors of 7920 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 22, 24, 30, 36, 40, 44, 48, 60, 66, 72, 80, 88, 90, 110, 120, 132, 144, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.
Hence, product of even factors of 7920 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 18 x 20 x 22 x 24 x 30 x 36 x 40 x 44 x 48 x 60 x 66 x 72 x 80 x 88 x 90 x 110 x 120 x 132 x 144 x 176 x 180 x 198 x 220 x 240 x 264 x 330 x 360 x 396 x 440 x 528 x 660 x 720 x 792 x 880 x 990 x 1320 x 1584 x 1980 x 2640 x 3960 x 7920 = 6.22478354237794e+100.

Joy wants to calculate mean of all the factors of 7920. Help him in finding the mean of 7920.

Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 7920 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 11 + 12 + 15 + 16 + 18 + 20 + 22 + 24 + 30 + 33 + 36 + 40 + 44 + 45 + 48 + 55 + 60 + 66 + 72 + 80 + 88 + 90 + 99 + 110 + 120 + 132 + 144 + 165 + 176 + 180 + 198 + 220 + 240 + 264 + 330 + 360 + 396 + 440 + 495 + 528 + 660 + 720 + 792 + 880 + 990 + 1320 + 1584 + 1980 + 2640 + 3960 + 7920 = 29016.
Hence, the mean of factors of 7920 is 29016 ÷ 60 = 483.60.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 7920? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -11, -12, -15, -16, -18, -20, -22, -24, -30, -33, -36, -40, -44, -45, -48, -55, -60, -66, -72, -80, -88, -90, -99, -110, -120, -132, -144, -165, -176, -180, -198, -220, -240, -264, -330, -360, -396, -440, -495, -528, -660, -720, -792, -880, -990, -1320, -1584, -1980, -2640, -3960, -7920.

How many factors are there for 7920?

Factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.
So there are in total 60 factors.

Joey wants to write all the prime factors of 7920 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 7920 are 2, 2, 2, 2, 3, 3, 5, 11.
So in exponential form it can be written as 24 x 32 x 5 x 11.

Kevin has been asked to write 59 factor(s) of 7920. Can you predict the answer?

59 factor(s) of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960.