Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, and 2880

How to find factors of a number

1. Steps to find factors of 2880 using Division Method

Example: Find factors of 2880

  • Divide 2880 by 1: 2880 ÷ 1 : Remainder = 0
  • Divide 2880 by 2: 2880 ÷ 2 : Remainder = 0
  • Divide 2880 by 3: 2880 ÷ 3 : Remainder = 0
  • Divide 2880 by 4: 2880 ÷ 4 : Remainder = 0
  • Divide 2880 by 5: 2880 ÷ 5 : Remainder = 0
  • Divide 2880 by 6: 2880 ÷ 6 : Remainder = 0
  • Divide 2880 by 8: 2880 ÷ 8 : Remainder = 0
  • Divide 2880 by 9: 2880 ÷ 9 : Remainder = 0
  • Divide 2880 by 10: 2880 ÷ 10 : Remainder = 0
  • Divide 2880 by 12: 2880 ÷ 12 : Remainder = 0
  • Divide 2880 by 15: 2880 ÷ 15 : Remainder = 0
  • Divide 2880 by 16: 2880 ÷ 16 : Remainder = 0
  • Divide 2880 by 18: 2880 ÷ 18 : Remainder = 0
  • Divide 2880 by 20: 2880 ÷ 20 : Remainder = 0
  • Divide 2880 by 24: 2880 ÷ 24 : Remainder = 0
  • Divide 2880 by 30: 2880 ÷ 30 : Remainder = 0
  • Divide 2880 by 32: 2880 ÷ 32 : Remainder = 0
  • Divide 2880 by 36: 2880 ÷ 36 : Remainder = 0
  • Divide 2880 by 40: 2880 ÷ 40 : Remainder = 0
  • Divide 2880 by 45: 2880 ÷ 45 : Remainder = 0
  • Divide 2880 by 48: 2880 ÷ 48 : Remainder = 0
  • Divide 2880 by 60: 2880 ÷ 60 : Remainder = 0
  • Divide 2880 by 64: 2880 ÷ 64 : Remainder = 0
  • Divide 2880 by 72: 2880 ÷ 72 : Remainder = 0
  • Divide 2880 by 80: 2880 ÷ 80 : Remainder = 0
  • Divide 2880 by 90: 2880 ÷ 90 : Remainder = 0
  • Divide 2880 by 96: 2880 ÷ 96 : Remainder = 0
  • Divide 2880 by 120: 2880 ÷ 120 : Remainder = 0
  • Divide 2880 by 144: 2880 ÷ 144 : Remainder = 0
  • Divide 2880 by 160: 2880 ÷ 160 : Remainder = 0
  • Divide 2880 by 180: 2880 ÷ 180 : Remainder = 0
  • Divide 2880 by 192: 2880 ÷ 192 : Remainder = 0
  • Divide 2880 by 240: 2880 ÷ 240 : Remainder = 0
  • Divide 2880 by 288: 2880 ÷ 288 : Remainder = 0
  • Divide 2880 by 320: 2880 ÷ 320 : Remainder = 0
  • Divide 2880 by 360: 2880 ÷ 360 : Remainder = 0
  • Divide 2880 by 480: 2880 ÷ 480 : Remainder = 0
  • Divide 2880 by 576: 2880 ÷ 576 : Remainder = 0
  • Divide 2880 by 720: 2880 ÷ 720 : Remainder = 0
  • Divide 2880 by 960: 2880 ÷ 960 : Remainder = 0
  • Divide 2880 by 1440: 2880 ÷ 1440 : Remainder = 0
  • Divide 2880 by 2880: 2880 ÷ 2880 : Remainder = 0

Hence, Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, and 2880

2. Steps to find factors of 2880 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 2880 using the division method, follow these steps:

  • Step 1. Start dividing 2880 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 2880, which is 2. Divide 2880 by 2 to obtain the quotient (1440).
    2880 ÷ 2 = 1440
  • Step 3. Repeat step 1 with the obtained quotient (1440).
    1440 ÷ 2 = 720
    720 ÷ 2 = 360
    360 ÷ 2 = 180
    180 ÷ 2 = 90
    90 ÷ 2 = 45
    45 ÷ 3 = 15
    15 ÷ 3 = 5
    5 ÷ 5 = 1

So, the prime factorization of 2880 is, 2880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2880 as shown below:

So, the prime factorization of 2880 is, 2880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5.

3. Find factors of 2880 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 2880 would be the two numbers which, when multiplied, give 2880 as the result.

The following table represents the calculation of factors of 2880 in pairs:

Factor Pair Pair Factorization
1 and 2880 1 x 2880 = 2880
2 and 1440 2 x 1440 = 2880
3 and 960 3 x 960 = 2880
4 and 720 4 x 720 = 2880
5 and 576 5 x 576 = 2880
6 and 480 6 x 480 = 2880
8 and 360 8 x 360 = 2880
9 and 320 9 x 320 = 2880
10 and 288 10 x 288 = 2880
12 and 240 12 x 240 = 2880
15 and 192 15 x 192 = 2880
16 and 180 16 x 180 = 2880
18 and 160 18 x 160 = 2880
20 and 144 20 x 144 = 2880
24 and 120 24 x 120 = 2880
30 and 96 30 x 96 = 2880
32 and 90 32 x 90 = 2880
36 and 80 36 x 80 = 2880
40 and 72 40 x 72 = 2880
45 and 64 45 x 64 = 2880
48 and 60 48 x 60 = 2880

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 2880. They are called negative pair factors.

Hence, the negative pairs of 2880 would be ( -1 , -2880 ) , ( -2 , -1440 ) , ( -3 , -960 ) , ( -4 , -720 ) , ( -5 , -576 ) , ( -6 , -480 ) , ( -8 , -360 ) , ( -9 , -320 ) , ( -10 , -288 ) , ( -12 , -240 ) , ( -15 , -192 ) , ( -16 , -180 ) , ( -18 , -160 ) , ( -20 , -144 ) , ( -24 , -120 ) , ( -30 , -96 ) , ( -32 , -90 ) , ( -36 , -80 ) , ( -40 , -72 ) , ( -45 , -64 ) and ( -48 , -60 ) .

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. 2880 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2880.
  • Every number is a factor of zero (0), since 2880 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, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880 are exact divisors of 2880.
  • Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880. Each factor divides 2880 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, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880 are all less than or equal to 2880.

Frequently Asked Questions

  • Which is the smallest prime factor of 2880?

    Smallest prime factor of 2880 is 2.

  • Is 2880 a perfect square?

    No 2880 is not a perfect square.

  • What are five multiples of 2880?

    First five multiples of 2880 are 5760, 8640, 11520, 14400, 17280.

  • What is prime factorization of 2880?

    Prime factorization of 2880 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5.

  • What are factors of 2880?

    Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.

  • How do you find factors of a negative number? ( eg. -2880 )?

    Factors of -2880 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -32, -36, -40, -45, -48, -60, -64, -72, -80, -90, -96, -120, -144, -160, -180, -192, -240, -288, -320, -360, -480, -576, -720, -960, -1440, -2880.

  • Is 2880 a whole number?

    Yes 2880 is a whole number.

  • Which is greatest factor of 2880?

    The greatest factor of 2880 is 1440.

  • What are the prime factors of 2880?

    The factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.
    Prime factors of 2880 are 2, 2, 2, 2, 2, 2, 3, 3, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2880. Can you help her?

Prime factors of 2880 are 2, 2, 2, 2, 2, 2, 3, 3, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 2880?

Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.
Even factors of 2880 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 32, 36, 40, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.
Hence, product of even factors of 2880 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 18 x 20 x 24 x 30 x 32 x 36 x 40 x 48 x 60 x 64 x 72 x 80 x 90 x 96 x 120 x 144 x 160 x 180 x 192 x 240 x 288 x 320 x 360 x 480 x 576 x 720 x 960 x 1440 x 2880 = 4.8708493958471216e+67.

Joy wants to calculate mean of all the factors of 2880. Help him in finding the mean of 2880.

Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2880 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 30 + 32 + 36 + 40 + 45 + 48 + 60 + 64 + 72 + 80 + 90 + 96 + 120 + 144 + 160 + 180 + 192 + 240 + 288 + 320 + 360 + 480 + 576 + 720 + 960 + 1440 + 2880 = 9906.
Hence, the mean of factors of 2880 is 9906 ÷ 42 = 235.86.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2880? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -30, -32, -36, -40, -45, -48, -60, -64, -72, -80, -90, -96, -120, -144, -160, -180, -192, -240, -288, -320, -360, -480, -576, -720, -960, -1440, -2880.

How many factors are there for 2880?

Factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.
So there are in total 42 factors.

Joey wants to write all the prime factors of 2880 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2880 are 2, 2, 2, 2, 2, 2, 3, 3, 5.
So in exponential form it can be written as 26 x 32 x 5.

Kevin has been asked to write 41 factor(s) of 2880. Can you predict the answer?

41 factor(s) of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440.