Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, and 1080

How to find factors of a number

1. Steps to find factors of 1080 using Division Method

Example: Find factors of 1080

  • Divide 1080 by 1: 1080 ÷ 1 : Remainder = 0
  • Divide 1080 by 2: 1080 ÷ 2 : Remainder = 0
  • Divide 1080 by 3: 1080 ÷ 3 : Remainder = 0
  • Divide 1080 by 4: 1080 ÷ 4 : Remainder = 0
  • Divide 1080 by 5: 1080 ÷ 5 : Remainder = 0
  • Divide 1080 by 6: 1080 ÷ 6 : Remainder = 0
  • Divide 1080 by 8: 1080 ÷ 8 : Remainder = 0
  • Divide 1080 by 9: 1080 ÷ 9 : Remainder = 0
  • Divide 1080 by 10: 1080 ÷ 10 : Remainder = 0
  • Divide 1080 by 12: 1080 ÷ 12 : Remainder = 0
  • Divide 1080 by 15: 1080 ÷ 15 : Remainder = 0
  • Divide 1080 by 18: 1080 ÷ 18 : Remainder = 0
  • Divide 1080 by 20: 1080 ÷ 20 : Remainder = 0
  • Divide 1080 by 24: 1080 ÷ 24 : Remainder = 0
  • Divide 1080 by 27: 1080 ÷ 27 : Remainder = 0
  • Divide 1080 by 30: 1080 ÷ 30 : Remainder = 0
  • Divide 1080 by 36: 1080 ÷ 36 : Remainder = 0
  • Divide 1080 by 40: 1080 ÷ 40 : Remainder = 0
  • Divide 1080 by 45: 1080 ÷ 45 : Remainder = 0
  • Divide 1080 by 54: 1080 ÷ 54 : Remainder = 0
  • Divide 1080 by 60: 1080 ÷ 60 : Remainder = 0
  • Divide 1080 by 72: 1080 ÷ 72 : Remainder = 0
  • Divide 1080 by 90: 1080 ÷ 90 : Remainder = 0
  • Divide 1080 by 108: 1080 ÷ 108 : Remainder = 0
  • Divide 1080 by 120: 1080 ÷ 120 : Remainder = 0
  • Divide 1080 by 135: 1080 ÷ 135 : Remainder = 0
  • Divide 1080 by 180: 1080 ÷ 180 : Remainder = 0
  • Divide 1080 by 216: 1080 ÷ 216 : Remainder = 0
  • Divide 1080 by 270: 1080 ÷ 270 : Remainder = 0
  • Divide 1080 by 360: 1080 ÷ 360 : Remainder = 0
  • Divide 1080 by 540: 1080 ÷ 540 : Remainder = 0
  • Divide 1080 by 1080: 1080 ÷ 1080 : Remainder = 0

Hence, Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, and 1080

2. Steps to find factors of 1080 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 1080 using the division method, follow these steps:

  • Step 1. Start dividing 1080 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 1080, which is 2. Divide 1080 by 2 to obtain the quotient (540).
    1080 ÷ 2 = 540
  • Step 3. Repeat step 1 with the obtained quotient (540).
    540 ÷ 2 = 270
    270 ÷ 2 = 135
    135 ÷ 3 = 45
    45 ÷ 3 = 15
    15 ÷ 3 = 5
    5 ÷ 5 = 1

So, the prime factorization of 1080 is, 1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1080 as shown below:

So, the prime factorization of 1080 is, 1080 = 2 x 2 x 2 x 3 x 3 x 3 x 5.

3. Find factors of 1080 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 1080 would be the two numbers which, when multiplied, give 1080 as the result.

The following table represents the calculation of factors of 1080 in pairs:

Factor Pair Pair Factorization
1 and 1080 1 x 1080 = 1080
2 and 540 2 x 540 = 1080
3 and 360 3 x 360 = 1080
4 and 270 4 x 270 = 1080
5 and 216 5 x 216 = 1080
6 and 180 6 x 180 = 1080
8 and 135 8 x 135 = 1080
9 and 120 9 x 120 = 1080
10 and 108 10 x 108 = 1080
12 and 90 12 x 90 = 1080
15 and 72 15 x 72 = 1080
18 and 60 18 x 60 = 1080
20 and 54 20 x 54 = 1080
24 and 45 24 x 45 = 1080
27 and 40 27 x 40 = 1080
30 and 36 30 x 36 = 1080

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 1080. They are called negative pair factors.

Hence, the negative pairs of 1080 would be ( -1 , -1080 ) , ( -2 , -540 ) , ( -3 , -360 ) , ( -4 , -270 ) , ( -5 , -216 ) , ( -6 , -180 ) , ( -8 , -135 ) , ( -9 , -120 ) , ( -10 , -108 ) , ( -12 , -90 ) , ( -15 , -72 ) , ( -18 , -60 ) , ( -20 , -54 ) , ( -24 , -45 ) , ( -27 , -40 ) and ( -30 , -36 ) .

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. 1080 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 1080.
  • Every number is a factor of zero (0), since 1080 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, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080 are exact divisors of 1080.
  • Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. Each factor divides 1080 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, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080 are all less than or equal to 1080.

Frequently Asked Questions

  • Which is the smallest prime factor of 1080?

    Smallest prime factor of 1080 is 2.

  • Is 1080 a perfect square?

    No 1080 is not a perfect square.

  • What are five multiples of 1080?

    First five multiples of 1080 are 2160, 3240, 4320, 5400, 6480.

  • What is prime factorization of 1080?

    Prime factorization of 1080 is 2 x 2 x 2 x 3 x 3 x 3 x 5.

  • What are factors of 1080?

    Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080.

  • How do you find factors of a negative number? ( eg. -1080 )?

    Factors of -1080 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -27, -30, -36, -40, -45, -54, -60, -72, -90, -108, -120, -135, -180, -216, -270, -360, -540, -1080.

  • Is 1080 a whole number?

    Yes 1080 is a whole number.

  • Which is greatest factor of 1080?

    The greatest factor of 1080 is 540.

  • What are the prime factors of 1080?

    The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080.
    Prime factors of 1080 are 2, 2, 2, 3, 3, 3, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 1080. Can you help her?

Prime factors of 1080 are 2, 2, 2, 3, 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 1080?

Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080.
Even factors of 1080 are 2, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 40, 54, 60, 72, 90, 108, 120, 180, 216, 270, 360, 540, 1080.
Hence, product of even factors of 1080 is; 2 x 4 x 6 x 8 x 10 x 12 x 18 x 20 x 24 x 30 x 36 x 40 x 54 x 60 x 72 x 90 x 108 x 120 x 180 x 216 x 270 x 360 x 540 x 1080 = 1.0314424798490535e+40.

Joy wants to calculate mean of all the factors of 1080. Help him in finding the mean of 1080.

Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1080 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 54 + 60 + 72 + 90 + 108 + 120 + 135 + 180 + 216 + 270 + 360 + 540 + 1080 = 3600.
Hence, the mean of factors of 1080 is 3600 ÷ 32 = 112.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1080? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -27, -30, -36, -40, -45, -54, -60, -72, -90, -108, -120, -135, -180, -216, -270, -360, -540, -1080.

How many factors are there for 1080?

Factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080.
So there are in total 32 factors.

Joey wants to write all the prime factors of 1080 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1080 are 2, 2, 2, 3, 3, 3, 5.
So in exponential form it can be written as 23 x 33 x 5.

Kevin has been asked to write 31 factor(s) of 1080. Can you predict the answer?

31 factor(s) of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540.