Q: What are the prime factors of the number 246,502,354?

 A: 2, 7, 59, 167, 1787

Why are those the prime factors of the number 246,502,354?

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 246,502,354

246,502,354
Factor Arrows
2123,251,177
Factor Arrows
717,607,311
Factor Arrows
59298,429
Factor Arrows
1671,787

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, 7, 59, 167, 1787

We can check our work by multiplying all of the prime factors together: 2 x 7 x 59 x 167 x 1,787 = 246,502,354

This can also be written as 21 x 71 x 591 x 1671 x 1,7871 = 246,502,354

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


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