Q: What are the prime factors of the number 397,155?

 A: 3, 5, 11, 29, 83

Why are those the prime factors of the number 397,155?

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 397,155

397,155
Factor Arrows
3132,385
Factor Arrows
526,477
Factor Arrows
112,407
Factor Arrows
2983

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, 5, 11, 29, 83

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 29 x 83 = 397,155

This can also be written as 31 x 51 x 111 x 291 x 831 = 397,155

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


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