Q: What are the prime factors of the number 137,356,765?

 A: 5, 7, 13, 37, 41, 199

Why are those the prime factors of the number 137,356,765?

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 137,356,765

137,356,765
Factor Arrows
527,471,353
Factor Arrows
73,924,479
Factor Arrows
13301,883
Factor Arrows
378,159
Factor Arrows
41199

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:

5, 7, 13, 37, 41, 199

We can check our work by multiplying all of the prime factors together: 5 x 7 x 13 x 37 x 41 x 199 = 137,356,765

This can also be written as 51 x 71 x 131 x 371 x 411 x 1991 = 137,356,765

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


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