Q: What are the prime factors of the number 159,651?

 A: 3, 73

Why are those the prime factors of the number 159,651?

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 159,651

159,651
Factor Arrows
353,217
Factor Arrows
317,739
Factor Arrows
35,913
Factor Arrows
31,971
Factor Arrows
3657
Factor Arrows
3219
Factor Arrows
373

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:

3, 73

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 73 = 159,651

This can also be written as 37 x 731 = 159,651

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


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