Q: What are the prime factors of the number 137,773,650?

 A: 2, 3, 5, 7, 131213

Why are those the prime factors of the number 137,773,650?

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 137,773,650

137,773,650
Factor Arrows
268,886,825
Factor Arrows
322,962,275
Factor Arrows
54,592,455
Factor Arrows
5918,491
Factor Arrows
7131,213

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, 7, 131213

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 131,213 = 137,773,650

This can also be written as 21 x 31 x 52 x 71 x 131,2131 = 137,773,650

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


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