## UPSIDE-DOWN DIVISION: UPSIDE-DOWN DIVISION OF 72 UPSIDE-DOWN DIVISION OF 72

Upside-down division of 72 is shown below.

(72 = 23 × 32) DESCRIPTIONS

• 72 is divisible by 2. Write 2 to the left. When 72 is divided by 2 the result is 36. Write 36 under 72
• 36 is divisible by 2. Write 2 to the left. When 36 is divided by 2 the result is 18. Write 18 under 36
• 18 is divisible by 2. Write 2 to the left. When 18 is divided by 2 the result is 9. Write 9 under 18
• 9 is divisible by 3. Write 3 to the left. When 9 is divided by 3 the result is 3. Write 3 under 9
• 3 is divisible by 3. Write 3 to the left. When 3 is divided by 3 the result is 1. Write 1 under 3 OTHER INFORMATION

• The prime factors of 72 are 2 and 3

• Prime factorization of 72 is as following.

• Without Exponents: 72 = 2 × 2 × 2 × 3 × 3

• With Exponents:72 = 23 × 32

## INFORMATION

The solution and descriptions above are generated by the upside-down division calculator. You can use the upside-down division calculator to see the upside-down division of other numbers.

### UPSIDE-DOWN DIVISION

Upside-down division is a method used to find the prime factors and prime factorization of a number.

In this method, we draw a rectangular line and write the number on the RHS. Then we try to find a prime number that divides the number on the right. Once we find such a prime number, we write it on the left. We make the division and write the result under the number. on the RHS and continue the algorithm until we reach 1 on the RHS.

The numbers on the LHS are the prime factors. The prime factorization can be found by multiplying those prime numbers.

### OTHER FEATURES OF 72 