Q: What are the prime factors of the number 371,673,660?

 A: 2, 3, 5, 73, 84857

Why are those the prime factors of the number 371,673,660?

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 371,673,660

371,673,660
Factor Arrows
2185,836,830
Factor Arrows
292,918,415
Factor Arrows
330,972,805
Factor Arrows
56,194,561
Factor Arrows
7384,857

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, 5, 73, 84857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 73 x 84,857 = 371,673,660

This can also be written as 22 x 31 x 51 x 731 x 84,8571 = 371,673,660

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


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