Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, and 2592

How to find factors of a number

1. Steps to find factors of 2592 using Division Method

Example: Find factors of 2592

  • Divide 2592 by 1: 2592 ÷ 1 : Remainder = 0
  • Divide 2592 by 2: 2592 ÷ 2 : Remainder = 0
  • Divide 2592 by 3: 2592 ÷ 3 : Remainder = 0
  • Divide 2592 by 4: 2592 ÷ 4 : Remainder = 0
  • Divide 2592 by 6: 2592 ÷ 6 : Remainder = 0
  • Divide 2592 by 8: 2592 ÷ 8 : Remainder = 0
  • Divide 2592 by 9: 2592 ÷ 9 : Remainder = 0
  • Divide 2592 by 12: 2592 ÷ 12 : Remainder = 0
  • Divide 2592 by 16: 2592 ÷ 16 : Remainder = 0
  • Divide 2592 by 18: 2592 ÷ 18 : Remainder = 0
  • Divide 2592 by 24: 2592 ÷ 24 : Remainder = 0
  • Divide 2592 by 27: 2592 ÷ 27 : Remainder = 0
  • Divide 2592 by 32: 2592 ÷ 32 : Remainder = 0
  • Divide 2592 by 36: 2592 ÷ 36 : Remainder = 0
  • Divide 2592 by 48: 2592 ÷ 48 : Remainder = 0
  • Divide 2592 by 54: 2592 ÷ 54 : Remainder = 0
  • Divide 2592 by 72: 2592 ÷ 72 : Remainder = 0
  • Divide 2592 by 81: 2592 ÷ 81 : Remainder = 0
  • Divide 2592 by 96: 2592 ÷ 96 : Remainder = 0
  • Divide 2592 by 108: 2592 ÷ 108 : Remainder = 0
  • Divide 2592 by 144: 2592 ÷ 144 : Remainder = 0
  • Divide 2592 by 162: 2592 ÷ 162 : Remainder = 0
  • Divide 2592 by 216: 2592 ÷ 216 : Remainder = 0
  • Divide 2592 by 288: 2592 ÷ 288 : Remainder = 0
  • Divide 2592 by 324: 2592 ÷ 324 : Remainder = 0
  • Divide 2592 by 432: 2592 ÷ 432 : Remainder = 0
  • Divide 2592 by 648: 2592 ÷ 648 : Remainder = 0
  • Divide 2592 by 864: 2592 ÷ 864 : Remainder = 0
  • Divide 2592 by 1296: 2592 ÷ 1296 : Remainder = 0
  • Divide 2592 by 2592: 2592 ÷ 2592 : Remainder = 0

Hence, Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, and 2592

2. Steps to find factors of 2592 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 2592 using the division method, follow these steps:

  • Step 1. Start dividing 2592 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 2592, which is 2. Divide 2592 by 2 to obtain the quotient (1296).
    2592 ÷ 2 = 1296
  • Step 3. Repeat step 1 with the obtained quotient (1296).
    1296 ÷ 2 = 648
    648 ÷ 2 = 324
    324 ÷ 2 = 162
    162 ÷ 2 = 81
    81 ÷ 3 = 27
    27 ÷ 3 = 9
    9 ÷ 3 = 3
    3 ÷ 3 = 1

So, the prime factorization of 2592 is, 2592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2592 as shown below:

So, the prime factorization of 2592 is, 2592 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3.

3. Find factors of 2592 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 2592 would be the two numbers which, when multiplied, give 2592 as the result.

The following table represents the calculation of factors of 2592 in pairs:

Factor Pair Pair Factorization
1 and 2592 1 x 2592 = 2592
2 and 1296 2 x 1296 = 2592
3 and 864 3 x 864 = 2592
4 and 648 4 x 648 = 2592
6 and 432 6 x 432 = 2592
8 and 324 8 x 324 = 2592
9 and 288 9 x 288 = 2592
12 and 216 12 x 216 = 2592
16 and 162 16 x 162 = 2592
18 and 144 18 x 144 = 2592
24 and 108 24 x 108 = 2592
27 and 96 27 x 96 = 2592
32 and 81 32 x 81 = 2592
36 and 72 36 x 72 = 2592
48 and 54 48 x 54 = 2592

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 2592. They are called negative pair factors.

Hence, the negative pairs of 2592 would be ( -1 , -2592 ) , ( -2 , -1296 ) , ( -3 , -864 ) , ( -4 , -648 ) , ( -6 , -432 ) , ( -8 , -324 ) , ( -9 , -288 ) , ( -12 , -216 ) , ( -16 , -162 ) , ( -18 , -144 ) , ( -24 , -108 ) , ( -27 , -96 ) , ( -32 , -81 ) , ( -36 , -72 ) and ( -48 , -54 ) .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 2592 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2592.
  • Every number is a factor of zero (0), since 2592 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, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592 are exact divisors of 2592.
  • Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592. Each factor divides 2592 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592 are all less than or equal to 2592.

Frequently Asked Questions

  • Which is the smallest prime factor of 2592?

    Smallest prime factor of 2592 is 2.

  • Is 2592 a perfect square?

    No 2592 is not a perfect square.

  • What are five multiples of 2592?

    First five multiples of 2592 are 5184, 7776, 10368, 12960, 15552.

  • What is prime factorization of 2592?

    Prime factorization of 2592 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3.

  • What are factors of 2592?

    Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592.

  • How do you find factors of a negative number? ( eg. -2592 )?

    Factors of -2592 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -72, -81, -96, -108, -144, -162, -216, -288, -324, -432, -648, -864, -1296, -2592.

  • Is 2592 a whole number?

    Yes 2592 is a whole number.

  • Which is greatest factor of 2592?

    The greatest factor of 2592 is 1296.

  • What are the prime factors of 2592?

    The factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592.
    Prime factors of 2592 are 2, 2, 2, 2, 2, 3, 3, 3, 3.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2592. Can you help her?

Prime factors of 2592 are 2, 2, 2, 2, 2, 3, 3, 3, 3.
Hence, the product of prime factors of 6.

Can you help Rubel to find out the product of the even factors of 2592?

Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592.
Even factors of 2592 are 2, 4, 6, 8, 12, 16, 18, 24, 32, 36, 48, 54, 72, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592.
Hence, product of even factors of 2592 is; 2 x 4 x 6 x 8 x 12 x 16 x 18 x 24 x 32 x 36 x 48 x 54 x 72 x 96 x 108 x 144 x 162 x 216 x 288 x 324 x 432 x 648 x 864 x 1296 x 2592 = 2.712141916156456e+46.

Joy wants to calculate mean of all the factors of 2592. Help him in finding the mean of 2592.

Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2592 is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 32 + 36 + 48 + 54 + 72 + 81 + 96 + 108 + 144 + 162 + 216 + 288 + 324 + 432 + 648 + 864 + 1296 + 2592 = 7623.
Hence, the mean of factors of 2592 is 7623 ÷ 30 = 254.10.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2592? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592.
Negative factors are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -72, -81, -96, -108, -144, -162, -216, -288, -324, -432, -648, -864, -1296, -2592.

How many factors are there for 2592?

Factors of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296, 2592.
So there are in total 30 factors.

Joey wants to write all the prime factors of 2592 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2592 are 2, 2, 2, 2, 2, 3, 3, 3, 3.
So in exponential form it can be written as 25 x 34.

Kevin has been asked to write 29 factor(s) of 2592. Can you predict the answer?

29 factor(s) of 2592 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 288, 324, 432, 648, 864, 1296.