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Q: What is the smallest prime factorization of 385?

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5 x 7 x 11 = 385

5 is.

385 = 5 * 77 = 5 * 7 * 11

2

2x3x5x7x11x13=30,030

210

All even numbers contain the number 2 in their prime factorization, as 2 is the smallest prime number and the only even prime number.

8 has three primes (2x2x2) in its factorization, and 30 is the smallest number having three different primes (2x3x5) in its factorization.

385 = 5 x 7 x 11 No exponents are necessary to complete this factorization.

It is 2310.

30

3

230

230

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I find the easiest way to find the prime factorization of any number is to start with the smallest prime number that divides the number. So, for 50, I would start with 2. Now we have 2x25. Since 25 is 52 we find the prime factorization of 50 is 2x5x5.

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The prime factorization of a number is shown as its prime factors multiplied together, usually in order from smallest to largest. So, 2 x 2 x 5 x 11 is a prime factorization, and can also be written using exponents as 22 x 5 x 11.

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