Q: What are the prime factors of the number 187,763,522?

 A: 2, 157, 433, 1381

Why are those the prime factors of the number 187,763,522?

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 187,763,522

187,763,522
Factor Arrows
293,881,761
Factor Arrows
157597,973
Factor Arrows
4331,381

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, 157, 433, 1381

We can check our work by multiplying all of the prime factors together: 2 x 157 x 433 x 1,381 = 187,763,522

This can also be written as 21 x 1571 x 4331 x 1,3811 = 187,763,522

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


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