Q: What are the prime factors of the number 137,450,502?

 A: 2, 3, 7, 1090877

Why are those the prime factors of the number 137,450,502?

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 137,450,502

137,450,502
Factor Arrows
268,725,251
Factor Arrows
322,908,417
Factor Arrows
37,636,139
Factor Arrows
71,090,877

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, 7, 1090877

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 1,090,877 = 137,450,502

This can also be written as 21 x 32 x 71 x 1,090,8771 = 137,450,502

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


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