Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, and 7560

How to find factors of a number

1. Steps to find factors of 7560 using Division Method

Example: Find factors of 7560

  • Divide 7560 by 1: 7560 ÷ 1 : Remainder = 0
  • Divide 7560 by 2: 7560 ÷ 2 : Remainder = 0
  • Divide 7560 by 3: 7560 ÷ 3 : Remainder = 0
  • Divide 7560 by 4: 7560 ÷ 4 : Remainder = 0
  • Divide 7560 by 5: 7560 ÷ 5 : Remainder = 0
  • Divide 7560 by 6: 7560 ÷ 6 : Remainder = 0
  • Divide 7560 by 7: 7560 ÷ 7 : Remainder = 0
  • Divide 7560 by 8: 7560 ÷ 8 : Remainder = 0
  • Divide 7560 by 9: 7560 ÷ 9 : Remainder = 0
  • Divide 7560 by 10: 7560 ÷ 10 : Remainder = 0
  • Divide 7560 by 12: 7560 ÷ 12 : Remainder = 0
  • Divide 7560 by 14: 7560 ÷ 14 : Remainder = 0
  • Divide 7560 by 15: 7560 ÷ 15 : Remainder = 0
  • Divide 7560 by 18: 7560 ÷ 18 : Remainder = 0
  • Divide 7560 by 20: 7560 ÷ 20 : Remainder = 0
  • Divide 7560 by 21: 7560 ÷ 21 : Remainder = 0
  • Divide 7560 by 24: 7560 ÷ 24 : Remainder = 0
  • Divide 7560 by 27: 7560 ÷ 27 : Remainder = 0
  • Divide 7560 by 28: 7560 ÷ 28 : Remainder = 0
  • Divide 7560 by 30: 7560 ÷ 30 : Remainder = 0
  • Divide 7560 by 35: 7560 ÷ 35 : Remainder = 0
  • Divide 7560 by 36: 7560 ÷ 36 : Remainder = 0
  • Divide 7560 by 40: 7560 ÷ 40 : Remainder = 0
  • Divide 7560 by 42: 7560 ÷ 42 : Remainder = 0
  • Divide 7560 by 45: 7560 ÷ 45 : Remainder = 0
  • Divide 7560 by 54: 7560 ÷ 54 : Remainder = 0
  • Divide 7560 by 56: 7560 ÷ 56 : Remainder = 0
  • Divide 7560 by 60: 7560 ÷ 60 : Remainder = 0
  • Divide 7560 by 63: 7560 ÷ 63 : Remainder = 0
  • Divide 7560 by 70: 7560 ÷ 70 : Remainder = 0
  • Divide 7560 by 72: 7560 ÷ 72 : Remainder = 0
  • Divide 7560 by 84: 7560 ÷ 84 : Remainder = 0
  • Divide 7560 by 90: 7560 ÷ 90 : Remainder = 0
  • Divide 7560 by 105: 7560 ÷ 105 : Remainder = 0
  • Divide 7560 by 108: 7560 ÷ 108 : Remainder = 0
  • Divide 7560 by 120: 7560 ÷ 120 : Remainder = 0
  • Divide 7560 by 126: 7560 ÷ 126 : Remainder = 0
  • Divide 7560 by 135: 7560 ÷ 135 : Remainder = 0
  • Divide 7560 by 140: 7560 ÷ 140 : Remainder = 0
  • Divide 7560 by 168: 7560 ÷ 168 : Remainder = 0
  • Divide 7560 by 180: 7560 ÷ 180 : Remainder = 0
  • Divide 7560 by 189: 7560 ÷ 189 : Remainder = 0
  • Divide 7560 by 210: 7560 ÷ 210 : Remainder = 0
  • Divide 7560 by 216: 7560 ÷ 216 : Remainder = 0
  • Divide 7560 by 252: 7560 ÷ 252 : Remainder = 0
  • Divide 7560 by 270: 7560 ÷ 270 : Remainder = 0
  • Divide 7560 by 280: 7560 ÷ 280 : Remainder = 0
  • Divide 7560 by 315: 7560 ÷ 315 : Remainder = 0
  • Divide 7560 by 360: 7560 ÷ 360 : Remainder = 0
  • Divide 7560 by 378: 7560 ÷ 378 : Remainder = 0
  • Divide 7560 by 420: 7560 ÷ 420 : Remainder = 0
  • Divide 7560 by 504: 7560 ÷ 504 : Remainder = 0
  • Divide 7560 by 540: 7560 ÷ 540 : Remainder = 0
  • Divide 7560 by 630: 7560 ÷ 630 : Remainder = 0
  • Divide 7560 by 756: 7560 ÷ 756 : Remainder = 0
  • Divide 7560 by 840: 7560 ÷ 840 : Remainder = 0
  • Divide 7560 by 945: 7560 ÷ 945 : Remainder = 0
  • Divide 7560 by 1080: 7560 ÷ 1080 : Remainder = 0
  • Divide 7560 by 1260: 7560 ÷ 1260 : Remainder = 0
  • Divide 7560 by 1512: 7560 ÷ 1512 : Remainder = 0
  • Divide 7560 by 1890: 7560 ÷ 1890 : Remainder = 0
  • Divide 7560 by 2520: 7560 ÷ 2520 : Remainder = 0
  • Divide 7560 by 3780: 7560 ÷ 3780 : Remainder = 0
  • Divide 7560 by 7560: 7560 ÷ 7560 : Remainder = 0

Hence, Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, and 7560

2. Steps to find factors of 7560 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 7560 using the division method, follow these steps:

  • Step 1. Start dividing 7560 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 7560, which is 2. Divide 7560 by 2 to obtain the quotient (3780).
    7560 ÷ 2 = 3780
  • Step 3. Repeat step 1 with the obtained quotient (3780).
    3780 ÷ 2 = 1890
    1890 ÷ 2 = 945
    945 ÷ 3 = 315
    315 ÷ 3 = 105
    105 ÷ 3 = 35
    35 ÷ 5 = 7
    7 ÷ 7 = 1

So, the prime factorization of 7560 is, 7560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 7560 as shown below:

So, the prime factorization of 7560 is, 7560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7.

3. Find factors of 7560 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 7560 would be the two numbers which, when multiplied, give 7560 as the result.

The following table represents the calculation of factors of 7560 in pairs:

Factor Pair Pair Factorization
1 and 7560 1 x 7560 = 7560
2 and 3780 2 x 3780 = 7560
3 and 2520 3 x 2520 = 7560
4 and 1890 4 x 1890 = 7560
5 and 1512 5 x 1512 = 7560
6 and 1260 6 x 1260 = 7560
7 and 1080 7 x 1080 = 7560
8 and 945 8 x 945 = 7560
9 and 840 9 x 840 = 7560
10 and 756 10 x 756 = 7560
12 and 630 12 x 630 = 7560
14 and 540 14 x 540 = 7560
15 and 504 15 x 504 = 7560
18 and 420 18 x 420 = 7560
20 and 378 20 x 378 = 7560
21 and 360 21 x 360 = 7560
24 and 315 24 x 315 = 7560
27 and 280 27 x 280 = 7560
28 and 270 28 x 270 = 7560
30 and 252 30 x 252 = 7560
35 and 216 35 x 216 = 7560
36 and 210 36 x 210 = 7560
40 and 189 40 x 189 = 7560
42 and 180 42 x 180 = 7560
45 and 168 45 x 168 = 7560
54 and 140 54 x 140 = 7560
56 and 135 56 x 135 = 7560
60 and 126 60 x 126 = 7560
63 and 120 63 x 120 = 7560
70 and 108 70 x 108 = 7560
72 and 105 72 x 105 = 7560
84 and 90 84 x 90 = 7560

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 7560. They are called negative pair factors.

Hence, the negative pairs of 7560 would be ( -1 , -7560 ) , ( -2 , -3780 ) , ( -3 , -2520 ) , ( -4 , -1890 ) , ( -5 , -1512 ) , ( -6 , -1260 ) , ( -7 , -1080 ) , ( -8 , -945 ) , ( -9 , -840 ) , ( -10 , -756 ) , ( -12 , -630 ) , ( -14 , -540 ) , ( -15 , -504 ) , ( -18 , -420 ) , ( -20 , -378 ) , ( -21 , -360 ) , ( -24 , -315 ) , ( -27 , -280 ) , ( -28 , -270 ) , ( -30 , -252 ) , ( -35 , -216 ) , ( -36 , -210 ) , ( -40 , -189 ) , ( -42 , -180 ) , ( -45 , -168 ) , ( -54 , -140 ) , ( -56 , -135 ) , ( -60 , -126 ) , ( -63 , -120 ) , ( -70 , -108 ) , ( -72 , -105 ) and ( -84 , -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. 7560 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 7560.
  • Every number is a factor of zero (0), since 7560 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, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560 are exact divisors of 7560.
  • Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560. Each factor divides 7560 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, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560 are all less than or equal to 7560.

Frequently Asked Questions

  • Which is the smallest prime factor of 7560?

    Smallest prime factor of 7560 is 2.

  • Is 7560 a perfect square?

    No 7560 is not a perfect square.

  • What are five multiples of 7560?

    First five multiples of 7560 are 15120, 22680, 30240, 37800, 45360.

  • What is prime factorization of 7560?

    Prime factorization of 7560 is 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7.

  • What are factors of 7560?

    Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560.

  • How do you find factors of a negative number? ( eg. -7560 )?

    Factors of -7560 are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -18, -20, -21, -24, -27, -28, -30, -35, -36, -40, -42, -45, -54, -56, -60, -63, -70, -72, -84, -90, -105, -108, -120, -126, -135, -140, -168, -180, -189, -210, -216, -252, -270, -280, -315, -360, -378, -420, -504, -540, -630, -756, -840, -945, -1080, -1260, -1512, -1890, -2520, -3780, -7560.

  • Is 7560 a whole number?

    Yes 7560 is a whole number.

  • Which is greatest factor of 7560?

    The greatest factor of 7560 is 3780.

  • What are the prime factors of 7560?

    The factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560.
    Prime factors of 7560 are 2, 2, 2, 3, 3, 3, 5, 7.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 7560. Can you help her?

Prime factors of 7560 are 2, 2, 2, 3, 3, 3, 5, 7.
Hence, the product of prime factors of 210.

Can you help Rubel to find out the product of the even factors of 7560?

Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560.
Even factors of 7560 are 2, 4, 6, 8, 10, 12, 14, 18, 20, 24, 28, 30, 36, 40, 42, 54, 56, 60, 70, 72, 84, 90, 108, 120, 126, 140, 168, 180, 210, 216, 252, 270, 280, 360, 378, 420, 504, 540, 630, 756, 840, 1080, 1260, 1512, 1890, 2520, 3780, 7560.
Hence, product of even factors of 7560 is; 2 x 4 x 6 x 8 x 10 x 12 x 14 x 18 x 20 x 24 x 28 x 30 x 36 x 40 x 42 x 54 x 56 x 60 x 70 x 72 x 84 x 90 x 108 x 120 x 126 x 140 x 168 x 180 x 210 x 216 x 252 x 270 x 280 x 360 x 378 x 420 x 504 x 540 x 630 x 756 x 840 x 1080 x 1260 x 1512 x 1890 x 2520 x 3780 x 7560 = 2.03818212259319e+100.

Joy wants to calculate mean of all the factors of 7560. Help him in finding the mean of 7560.

Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 7560 is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 24 + 27 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 54 + 56 + 60 + 63 + 70 + 72 + 84 + 90 + 105 + 108 + 120 + 126 + 135 + 140 + 168 + 180 + 189 + 210 + 216 + 252 + 270 + 280 + 315 + 360 + 378 + 420 + 504 + 540 + 630 + 756 + 840 + 945 + 1080 + 1260 + 1512 + 1890 + 2520 + 3780 + 7560 = 28800.
Hence, the mean of factors of 7560 is 28800 ÷ 64 = 450.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 7560? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560.
Negative factors are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -18, -20, -21, -24, -27, -28, -30, -35, -36, -40, -42, -45, -54, -56, -60, -63, -70, -72, -84, -90, -105, -108, -120, -126, -135, -140, -168, -180, -189, -210, -216, -252, -270, -280, -315, -360, -378, -420, -504, -540, -630, -756, -840, -945, -1080, -1260, -1512, -1890, -2520, -3780, -7560.

How many factors are there for 7560?

Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560.
So there are in total 64 factors.

Joey wants to write all the prime factors of 7560 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 7560 are 2, 2, 2, 3, 3, 3, 5, 7.
So in exponential form it can be written as 23 x 33 x 5 x 7.

Kevin has been asked to write 63 factor(s) of 7560. Can you predict the answer?

63 factor(s) of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780.