Q: What are the prime factors of the number 134,547,237?

 A: 3, 11, 151007

Why are those the prime factors of the number 134,547,237?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 134,547,237

134,547,237
Factor Arrows
344,849,079
Factor Arrows
314,949,693
Factor Arrows
34,983,231
Factor Arrows
31,661,077
Factor Arrows
11151,007

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 11, 151007

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 11 x 151,007 = 134,547,237

This can also be written as 34 x 111 x 151,0071 = 134,547,237

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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