Factors the 72 are the numbers, which offers the an outcome as 72 when multiplied together in a pair of two. For example, 2×3 = 6, claims that 2 and also 3 room the determinants of 6. Basically, multiples of 72 give an extended timetable the 72, such as 72, 144, 216, 288, 360, 432, 504, 576, 648 and so on. To discover the components of a number, 72, us will usage the administrate method. The components of 72 deserve to be stood for either in optimistic or an adverse forms. Yet the determinants of 72 can not be a decimal or fraction. For example, the factors of 72 deserve to be (1, 72) or (-1, -72). If us multiply a pair of a an adverse number, such together multiplying -1 and -72, that will an outcome in the initial number 72.

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In this article, we room going to learn the factors of 72, and the pair factors and also the prime factors of 72 making use of the element factorization an approach with plenty of solved examples.

Table the Contents:

What room the factors of 72?

The components of 72 space the numbers that division 72 precisely without leaving any kind of remainder. In various other words, the components of 72 are the number that room multiplied in pairs causing an original number 72. As the number 72 is a composite number, the has plenty of factors other than one and also the number itself. Hence the determinants of 72 space 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 administrate of 72: 2 × 2 × 2 × 3 × 3 or 23 × 32

Pair components of 72

The pair components of 72 room the pair the numbers, which are multiplied together leading to an initial number 72. The pair components of 72 have the right to be optimistic pair or an adverse pair. If us multiply the pair of an adverse numbers, the will an outcome in an original number 72. Thus, the positive and the an adverse pair components of 72 room as follows:

Positive Pair components of 72:

Positive determinants of 72

Positive Pair factors 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 hopeful pair factors of 72 room (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and (8, 9).

Negative Pair components of 72:

Negative components 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 unfavorable pair factors of 72 space (-1, -72), (-2, -36), (-3, -24), (-4, -18), (-6, -12) and (-8, -9).

Prime administrate of 72

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

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

72 ÷ 2 = 36

Again, division 36 through 2.

36 ÷ 2 = 18

18 ÷ 2 = 9

Now, if we divide 9 by 2 we acquire 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

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Examples

Example 1:

Find the usual factors that 72 and 71.

Solution:

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

The determinants of 71 space 1 and 71.

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

Example 2:

Find the usual factors the 72 and also 73.

Solution:

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

Factors of 73 = 1 and also 73.

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

Example 3:

Find the usual factors that 72 and 70.

Solution:

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

The components of 70 room 1, 2, 5, 7, 10, 14, 35, 70

Therefore, the typical factors that 70 and also 72 space 1 and 2.

Practice Questions

Find the usual factors of 72 and also 36.What is the usual factor of 72 and also 144?What is the amount of all the factors of 72?What are the prime components of 72?Find the typical factors the 72 and 30.

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