Question

whats the prime factorization of 72

Answer 1

72 =2×2×2×3×3

is the answer

Answer 2

Answer:

72=2^3×3^2

Step-by-step explanation:

Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.

In this example:

72 is even so 2 is a factor;

72/2 = 36

36 and 36/2=18

are also even so we have two more 2's as prime factors.

18/2=9=3×3

Hence we have two 3's as prime factors.

Therefore the prime factors of 72 are

2×2×2×3×3=2^3×3^2