Q: What are the prime factors of the number 137,704,491?

 A: 3, 37, 413527

Why are those the prime factors of the number 137,704,491?

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 137,704,491

137,704,491
Factor Arrows
345,901,497
Factor Arrows
315,300,499
Factor Arrows
37413,527

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:

3, 37, 413527

We can check our work by multiplying all of the prime factors together: 3 x 3 x 37 x 413,527 = 137,704,491

This can also be written as 32 x 371 x 413,5271 = 137,704,491

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


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