Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, and 2520

How to find factors of a number

1. Steps to find factors of 2520 using Division Method

Example: Find factors of 2520

  • Divide 2520 by 1: 2520 ÷ 1 : Remainder = 0
  • Divide 2520 by 2: 2520 ÷ 2 : Remainder = 0
  • Divide 2520 by 3: 2520 ÷ 3 : Remainder = 0
  • Divide 2520 by 4: 2520 ÷ 4 : Remainder = 0
  • Divide 2520 by 5: 2520 ÷ 5 : Remainder = 0
  • Divide 2520 by 6: 2520 ÷ 6 : Remainder = 0
  • Divide 2520 by 7: 2520 ÷ 7 : Remainder = 0
  • Divide 2520 by 8: 2520 ÷ 8 : Remainder = 0
  • Divide 2520 by 9: 2520 ÷ 9 : Remainder = 0
  • Divide 2520 by 10: 2520 ÷ 10 : Remainder = 0
  • Divide 2520 by 12: 2520 ÷ 12 : Remainder = 0
  • Divide 2520 by 14: 2520 ÷ 14 : Remainder = 0
  • Divide 2520 by 15: 2520 ÷ 15 : Remainder = 0
  • Divide 2520 by 18: 2520 ÷ 18 : Remainder = 0
  • Divide 2520 by 20: 2520 ÷ 20 : Remainder = 0
  • Divide 2520 by 21: 2520 ÷ 21 : Remainder = 0
  • Divide 2520 by 24: 2520 ÷ 24 : Remainder = 0
  • Divide 2520 by 28: 2520 ÷ 28 : Remainder = 0
  • Divide 2520 by 30: 2520 ÷ 30 : Remainder = 0
  • Divide 2520 by 35: 2520 ÷ 35 : Remainder = 0
  • Divide 2520 by 36: 2520 ÷ 36 : Remainder = 0
  • Divide 2520 by 40: 2520 ÷ 40 : Remainder = 0
  • Divide 2520 by 42: 2520 ÷ 42 : Remainder = 0
  • Divide 2520 by 45: 2520 ÷ 45 : Remainder = 0
  • Divide 2520 by 56: 2520 ÷ 56 : Remainder = 0
  • Divide 2520 by 60: 2520 ÷ 60 : Remainder = 0
  • Divide 2520 by 63: 2520 ÷ 63 : Remainder = 0
  • Divide 2520 by 70: 2520 ÷ 70 : Remainder = 0
  • Divide 2520 by 72: 2520 ÷ 72 : Remainder = 0
  • Divide 2520 by 84: 2520 ÷ 84 : Remainder = 0
  • Divide 2520 by 90: 2520 ÷ 90 : Remainder = 0
  • Divide 2520 by 105: 2520 ÷ 105 : Remainder = 0
  • Divide 2520 by 120: 2520 ÷ 120 : Remainder = 0
  • Divide 2520 by 126: 2520 ÷ 126 : Remainder = 0
  • Divide 2520 by 140: 2520 ÷ 140 : Remainder = 0
  • Divide 2520 by 168: 2520 ÷ 168 : Remainder = 0
  • Divide 2520 by 180: 2520 ÷ 180 : Remainder = 0
  • Divide 2520 by 210: 2520 ÷ 210 : Remainder = 0
  • Divide 2520 by 252: 2520 ÷ 252 : Remainder = 0
  • Divide 2520 by 280: 2520 ÷ 280 : Remainder = 0
  • Divide 2520 by 315: 2520 ÷ 315 : Remainder = 0
  • Divide 2520 by 360: 2520 ÷ 360 : Remainder = 0
  • Divide 2520 by 420: 2520 ÷ 420 : Remainder = 0
  • Divide 2520 by 504: 2520 ÷ 504 : Remainder = 0
  • Divide 2520 by 630: 2520 ÷ 630 : Remainder = 0
  • Divide 2520 by 840: 2520 ÷ 840 : Remainder = 0
  • Divide 2520 by 1260: 2520 ÷ 1260 : Remainder = 0
  • Divide 2520 by 2520: 2520 ÷ 2520 : Remainder = 0

Hence, Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, and 2520

2. Steps to find factors of 2520 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 2520 using the division method, follow these steps:

  • Step 1. Start dividing 2520 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 2520, which is 2. Divide 2520 by 2 to obtain the quotient (1260).
    2520 ÷ 2 = 1260
  • Step 3. Repeat step 1 with the obtained quotient (1260).
    1260 ÷ 2 = 630
    630 ÷ 2 = 315
    315 ÷ 3 = 105
    105 ÷ 3 = 35
    35 ÷ 5 = 7
    7 ÷ 7 = 1

So, the prime factorization of 2520 is, 2520 = 2 x 2 x 2 x 3 x 3 x 5 x 7.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2520 as shown below:

So, the prime factorization of 2520 is, 2520 = 2 x 2 x 2 x 3 x 3 x 5 x 7.

3. Find factors of 2520 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 2520 would be the two numbers which, when multiplied, give 2520 as the result.

The following table represents the calculation of factors of 2520 in pairs:

Factor Pair Pair Factorization
1 and 2520 1 x 2520 = 2520
2 and 1260 2 x 1260 = 2520
3 and 840 3 x 840 = 2520
4 and 630 4 x 630 = 2520
5 and 504 5 x 504 = 2520
6 and 420 6 x 420 = 2520
7 and 360 7 x 360 = 2520
8 and 315 8 x 315 = 2520
9 and 280 9 x 280 = 2520
10 and 252 10 x 252 = 2520
12 and 210 12 x 210 = 2520
14 and 180 14 x 180 = 2520
15 and 168 15 x 168 = 2520
18 and 140 18 x 140 = 2520
20 and 126 20 x 126 = 2520
21 and 120 21 x 120 = 2520
24 and 105 24 x 105 = 2520
28 and 90 28 x 90 = 2520
30 and 84 30 x 84 = 2520
35 and 72 35 x 72 = 2520
36 and 70 36 x 70 = 2520
40 and 63 40 x 63 = 2520
42 and 60 42 x 60 = 2520
45 and 56 45 x 56 = 2520

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 2520. They are called negative pair factors.

Hence, the negative pairs of 2520 would be ( -1 , -2520 ) , ( -2 , -1260 ) , ( -3 , -840 ) , ( -4 , -630 ) , ( -5 , -504 ) , ( -6 , -420 ) , ( -7 , -360 ) , ( -8 , -315 ) , ( -9 , -280 ) , ( -10 , -252 ) , ( -12 , -210 ) , ( -14 , -180 ) , ( -15 , -168 ) , ( -18 , -140 ) , ( -20 , -126 ) , ( -21 , -120 ) , ( -24 , -105 ) , ( -28 , -90 ) , ( -30 , -84 ) , ( -35 , -72 ) , ( -36 , -70 ) , ( -40 , -63 ) , ( -42 , -60 ) and ( -45 , -56 ) .

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. 2520 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2520.
  • Every number is a factor of zero (0), since 2520 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, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520 are exact divisors of 2520.
  • Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520. Each factor divides 2520 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, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520 are all less than or equal to 2520.

Frequently Asked Questions

  • Which is the smallest prime factor of 2520?

    Smallest prime factor of 2520 is 2.

  • Is 2520 a perfect square?

    No 2520 is not a perfect square.

  • What are five multiples of 2520?

    First five multiples of 2520 are 5040, 7560, 10080, 12600, 15120.

  • What is prime factorization of 2520?

    Prime factorization of 2520 is 2 x 2 x 2 x 3 x 3 x 5 x 7.

  • What are factors of 2520?

    Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.

  • How do you find factors of a negative number? ( eg. -2520 )?

    Factors of -2520 are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -18, -20, -21, -24, -28, -30, -35, -36, -40, -42, -45, -56, -60, -63, -70, -72, -84, -90, -105, -120, -126, -140, -168, -180, -210, -252, -280, -315, -360, -420, -504, -630, -840, -1260, -2520.

  • Is 2520 a whole number?

    Yes 2520 is a whole number.

  • Which is greatest factor of 2520?

    The greatest factor of 2520 is 1260.

  • What are the prime factors of 2520?

    The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.
    Prime factors of 2520 are 2, 2, 2, 3, 3, 5, 7.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2520. Can you help her?

Prime factors of 2520 are 2, 2, 2, 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 2520?

Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.
Even factors of 2520 are 2, 4, 6, 8, 10, 12, 14, 18, 20, 24, 28, 30, 36, 40, 42, 56, 60, 70, 72, 84, 90, 120, 126, 140, 168, 180, 210, 252, 280, 360, 420, 504, 630, 840, 1260, 2520.
Hence, product of even factors of 2520 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 56 x 60 x 70 x 72 x 84 x 90 x 120 x 126 x 140 x 168 x 180 x 210 x 252 x 280 x 360 x 420 x 504 x 630 x 840 x 1260 x 2520 = 4.403009839821417e+66.

Joy wants to calculate mean of all the factors of 2520. Help him in finding the mean of 2520.

Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2520 is 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 24 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 56 + 60 + 63 + 70 + 72 + 84 + 90 + 105 + 120 + 126 + 140 + 168 + 180 + 210 + 252 + 280 + 315 + 360 + 420 + 504 + 630 + 840 + 1260 + 2520 = 9360.
Hence, the mean of factors of 2520 is 9360 ÷ 48 = 195.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2520? 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, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.
Negative factors are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -18, -20, -21, -24, -28, -30, -35, -36, -40, -42, -45, -56, -60, -63, -70, -72, -84, -90, -105, -120, -126, -140, -168, -180, -210, -252, -280, -315, -360, -420, -504, -630, -840, -1260, -2520.

How many factors are there for 2520?

Factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520.
So there are in total 48 factors.

Joey wants to write all the prime factors of 2520 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2520 are 2, 2, 2, 3, 3, 5, 7.
So in exponential form it can be written as 23 x 32 x 5 x 7.

Kevin has been asked to write 47 factor(s) of 2520. Can you predict the answer?

47 factor(s) of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260.