Factors of 72 space the numbers, which offers the result as 72 when multiplied with each other in a pair that two. For example, 2×3 = 6, claims that 2 and 3 space the determinants of 6. Basically, multiples that 72 give an extensive timetable the 72, such together 72, 144, 216, 288, 360, 432, 504, 576, 648 and so on. To find the factors of a number, 72, we will use the administer method. The components of 72 have the right to be represented either in optimistic or an unfavorable forms. Yet the factors of 72 cannot be a decimal or fraction. For example, the factors of 72 have the right to be (1, 72) or (-1, -72). If we multiply a pair the a an adverse number, such together multiplying -1 and also -72, that will result in the original number 72.

You are watching: What is a prime factorization of 72 In this article, we space going to discover the components of 72, and the pair factors and the prime components of 72 using the element factorization method with countless solved examples.

Table that Contents:

## What room the factors of 72?

The factors of 72 space the number that division 72 specifically without leaving any type of remainder. In other words, the components of 72 room the numbers that room multiplied in pairs bring about an initial number 72. As the number 72 is a composite number, that has countless factors other than one and the number itself. For this reason the factors of 72 room 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

 Factors that 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72.Prime administer of 72: 2 × 2 × 2 × 3 × 3 or 23 × 32

## Pair factors of 72

The pair components of 72 space the pair of numbers, which space multiplied together causing an initial number 72. The pair determinants of 72 deserve to be positive pair or negative pair. If we multiply the pair of an adverse numbers, the will result in an original number 72. Thus, the positive and also the an unfavorable pair determinants of 72 are as follows:

Positive Pair determinants of 72:

 Positive determinants of 72 Positive Pair components of 72 1 × 72 (1, 72) 2 × 36 (2, 36) 3 × 24 (3, 24) 4 × 18 (4, 18) 6 × 12 (6, 12) 8 × 9 (8, 9)

Hence, the positive pair factors of 72 room (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and (8, 9).

Negative Pair components of 72:

 Negative determinants of 72 Negative Pair determinants of 72 -1 × -72 (-1, -72) -2 × -36 (-2, -36) -3 × -24 (-3, -24) -4 × -18 (-4, -18) -6 × -12 (-6, -12) -8 × -9 (-8, -9)

Hence, the an adverse pair components of 72 are (-1, -72), (-2, -36), (-3, -24), (-4, -18), (-6, -12) and also (-8, -9).

The number 72 is a composite number. Currently let us find the prime factorisation the this number.

The very first step is to divide the number 72 v the smallest prime factor,i.e. 2.

72 ÷ 2 = 36

Again, divide 36 by 2.

36 ÷ 2 = 18

18 ÷ 2 = 9

Now, if we division 9 through 2 we get a portion number, which can not be a factor.

Now, continue to the following prime numbers, i.e. 3.

9 ÷ 3 = 3

3 ÷ 3 = 1

 Links regarded Factors Factors of 15 Factors of 36 Factors of 48 Factors of 18 Factors of 42 Factors that 60 Factors that 35 Factors of 24 Factors the 84 Factors that 50

### Examples

Example 1:

Find the typical factors the 72 and also 71.

Solution:

The factors of 72 room 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

The components of 71 are 1 and also 71.

Thus, the usual factor of 72 and 71 is 1.

Example 2:

Find the usual factors that 72 and also 73.

Solution:

Factors the 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72.

Factors that 73 = 1 and also 73.

As 73 is a prime number, the common factor that 72 and 73 is 1.

Example 3:

Find the common factors of 72 and 70.

Solution:

The components of 72 space 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

The factors of 70 space 1, 2, 5, 7, 10, 14, 35, 70

Therefore, the common factors of 70 and also 72 are 1 and 2.

### Practice Questions

Find the typical factors of 72 and also 36.What is the common factor that 72 and also 144?What is the amount of every the factors of 72?What space the prime factors of 72?Find the typical factors that 72 and also 30.

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## Frequently Asked concerns on factors of 72

### What are the components of 72?

The determinants of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.