Question

What is the prime factorization of 90?

Answer 1

Answer and Step-by-step explanation:

The prime factorization of 90 is 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3, and 5 are the prime numbers. You can find "prime factorization" by following two simple steps. Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

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Answer 2

Answer: 2*3*3*5 which is the same as 2*3^2*5

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Step-by-step explanation:

Divide by the smallest prime 2

90/2 = 45

Then divide by the next smallest prime 3 (since 2 won't go into 45)

45/3 = 15

Repeat the last step

15/3 = 5

We stop because the result is prime.

Note the denominators are 2, 3, 3. The final result is 5 which is prime.

So the prime factors are 2, 3, 3, and 5

They multiply to 2*3*3*5 = 90.

We can condense it to 2*3^2*5 = 90 because 3*3 = 3^2.