Q: What are the prime factors of the number 156,492?

 A: 2, 3, 7, 23

Why are those the prime factors of the number 156,492?

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 156,492

156,492
Factor Arrows
278,246
Factor Arrows
239,123
Factor Arrows
313,041
Factor Arrows
34,347
Factor Arrows
31,449
Factor Arrows
3483
Factor Arrows
3161
Factor Arrows
723

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, 23

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 23 = 156,492

This can also be written as 22 x 35 x 71 x 231 = 156,492

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


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