Factors of 72 are the numbers, which provides the result as 72 as soon as multiplied with each other in a pair of two. Because that example, 2×3 = 6, claims that 2 and 3 are the components of 6. Basically, multiples the 72 give an extended timetable of 72, such as 72, 144, 216, 288, 360, 432, 504, 576, 648 and also so on. To uncover the components of a number, 72, us will use the factorization method. The determinants of 72 have the right to be represented either in positive or an adverse forms. However the factors of 72 cannot be a decimal or fraction. Because that example, the factors of 72 deserve to be (1, 72) or (-1, -72). If us multiply a pair the a negative number, such together multiplying -1 and -72, it will result in the original number 72.

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In this article, we space going to discover the components of 72, and the pair factors and also the prime factors of 72 making use of the element factorization method with countless solved examples.

Table the Contents:

What are the components of 72?

The components of 72 room the number that divide 72 specifically without leaving any type of remainder. In various other words, the components of 72 space the numbers that room multiplied in pairs leading to an original number 72. Together the number 72 is a composite number, that has many factors various other than one and also the number itself. Therefore the components of 72 room 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and also 72. 


Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 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 the numbers, which room multiplied together resulting in an original number 72. The pair components of 72 can 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 also the an adverse pair components of 72 room as follows:

Positive Pair factors of 72:


Positive factors 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 confident pair determinants of 72 are (1, 72), (2, 36), (3, 24), (4, 18), (6, 12) and also (8, 9).

Negative Pair determinants of 72:


Negative factors of 72

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

Prime factorization of 72

The number 72 is a composite number. Currently let us uncover the element factorisation that this number.

The an initial step is to divide the number 72 with the 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 by 2 we obtain a fraction number, which cannot be a factor.

Now, proceed 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 72.

The factors of 71 are 1 and also 71.

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

Example 2:

Find the common 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 the 73 = 1 and 73.

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

Example 3:

Find the typical factors the 72 and also 70.

Solution:

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

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

Therefore, the usual factors of 70 and also 72 room 1 and also 2.

Practice Questions

Find the usual factors that 72 and also 36.What is the usual factor that 72 and 144?What is the sum of all the factors of 72?What space the prime factors of 72?Find the common factors that 72 and 30.

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Frequently Asked inquiries on factors of 72


What space the components of 72?


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