Factors of 72: How to find factors of 72?

Factors of 72 

A factor of a number is any number that can divide it evenly (without any remainder).

For example, factors of 72 are the numbers that divide 72 completely without any remainder.

 

Finding Factors of 72

To find the factors of 72, we check which numbers can divide 72 evenly:

- 1 × 72 = 72
- 2 × 36 = 72
- 3 × 24 = 72
- 4 × 18 = 72
- 6 × 12 = 72
- 8 × 9 = 72

So, the factors of 72 are:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

These are the only numbers that can divide 72 without leaving a remainder.

Know how to find the factors of 12 here.

Try It Yourself:

Can you find the factors of these numbers?
1. 60
2. 84
3. 90

---

FAQs

 

1. How to Calculate the Factors of 72?

The factors of 72 are:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
These numbers divide 72 evenly.

2. How Many of the Factors of 72 Are Divisible by 2?

The factors of 72 divisible by 2 are:
2, 4, 6, 8, 12, 18, 24, 36, 72.
There are 9 such factors.

3. How Do You Find the Divisibility of 72?

To check if a number is divisible by 72, it must be divisible by both 8 and 9.

• For 8, the last three digits should be divisible by 8.

• For 9, the sum of the digits must be a multiple of 9.

Example: 648 → Sum of digits: 6 + 4 + 8 = 18 (divisible by 9). Last three digits: 648 ÷ 8 = 81. So, 648 is divisible by 72.