3 years ago

What is the prime factorization of 15552

Mathematics

1 answer:

Gala2k [10]3 years ago

7 0

We see it's a multiple of 2 and a multiple of 9 because the sum of the digits is 18.

Let's take out the factors of 2 and 3 and see what's left.

15552/2 = 7776

7776/2 = 3888

3888/2 = 1944

1944/2 = 972

972/2 = 486

486/2 = 243

243/3 = 81 = 3(3)(3)(3)

Putting it together,

$15552 = 2^{6} 3^{5}$

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