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Write the prime factorization of 1323 using exponents

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Answer:

3³ · 7²

Explanation:

You want the prime factorization of 1323.

Factors

We see the sum of digits is 9, so we know 9 is a factor. Of course, 9 = 3².

1323 ÷ 3 = 441

441 ÷ 3 = 147

147 ÷ 3 = 49

We recognize this value as 7². Continuing, we have ...

49 ÷ 7 = 7

7 ÷ 7 = 1

The factors are 3·3·3·7·7 = 3³ · 7².

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Write the prime factorization of 1323 using exponents-example-1
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