Q: What are the prime factors of the number 137,031,390?

 A: 2, 3, 5, 17, 89563

Why are those the prime factors of the number 137,031,390?

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 137,031,390

137,031,390
Factor Arrows
268,515,695
Factor Arrows
322,838,565
Factor Arrows
37,612,855
Factor Arrows
51,522,571
Factor Arrows
1789,563

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:

2, 3, 5, 17, 89563

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 17 x 89,563 = 137,031,390

This can also be written as 21 x 32 x 51 x 171 x 89,5631 = 137,031,390

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


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