Prime factorization of 3600 using exponents?

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Prime factorization of 3600 using exponents?

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Answer 1 · 2018-03-07T11:14:52

$2^4xx3^2xx5^2$

Explanation:

When doing prime factorization, I like to start with a math fact that I know. For this one, since I can see 36 followed by 2 0s (meaning it's multiplied by 100), I'll start there:

$3600=36xx100$

Neither 36 nor 100 are prime, so let's break those down:

$3600=6xx6xx10xx10$

Still haven't gotten to primes yet:

$3600=2xx3xx2xx3xx2xx5xx2xx5$

This is a long chain of numbers. The exponents will help clean this up:

$3600=2xx3xx2xx3xx2xx5xx2xx5=2^4xx3^2xx5^2$

Answer 2 · 2018-03-07T11:28:43

$2^4xx3^2xx5^2$

Explanation:

$3600 = 36 xx 10^2$

Now, $36 = 2^2xx3^2$

And, $10^2 = 2^2 xx 5^2$

Thus, $3600 = 2^2xx3^2 xx 2^2 xx 5^2$

$= 2^4xx3^2xx5^2$

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Prime factorization of 3600 using exponents?

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