Q: What are the prime factors of the number 137,750,208?

 A: 2, 3, 717449

Why are those the prime factors of the number 137,750,208?

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 137,750,208

137,750,208
Factor Arrows
268,875,104
Factor Arrows
234,437,552
Factor Arrows
217,218,776
Factor Arrows
28,609,388
Factor Arrows
24,304,694
Factor Arrows
22,152,347
Factor Arrows
3717,449

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, 717449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 717,449 = 137,750,208

This can also be written as 26 x 31 x 717,4491 = 137,750,208

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


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