Q: What are the prime factors of the number 187,772?

 A: 2, 13, 23, 157

Why are those the prime factors of the number 187,772?

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 187,772

187,772
Factor Arrows
293,886
Factor Arrows
246,943
Factor Arrows
133,611
Factor Arrows
23157

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, 13, 23, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 23 x 157 = 187,772

This can also be written as 22 x 131 x 231 x 1571 = 187,772

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


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