Q: What are the prime factors of the number 156,716,658?

 A: 2, 3, 7, 1243783

Why are those the prime factors of the number 156,716,658?

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 156,716,658

156,716,658
Factor Arrows
278,358,329
Factor Arrows
326,119,443
Factor Arrows
38,706,481
Factor Arrows
71,243,783

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, 1243783

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 1,243,783 = 156,716,658

This can also be written as 21 x 32 x 71 x 1,243,7831 = 156,716,658

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


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