Q: What are the prime factors of the number 156,932,368?

 A: 2, 733, 13381

Why are those the prime factors of the number 156,932,368?

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 156,932,368

156,932,368
Factor Arrows
278,466,184
Factor Arrows
239,233,092
Factor Arrows
219,616,546
Factor Arrows
29,808,273
Factor Arrows
73313,381

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, 733, 13381

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 733 x 13,381 = 156,932,368

This can also be written as 24 x 7331 x 13,3811 = 156,932,368

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


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