Q: What are the prime factors of the number 395,904?

 A: 2, 3, 1031

Why are those the prime factors of the number 395,904?

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 395,904

395,904
Factor Arrows
2197,952
Factor Arrows
298,976
Factor Arrows
249,488
Factor Arrows
224,744
Factor Arrows
212,372
Factor Arrows
26,186
Factor Arrows
23,093
Factor Arrows
31,031

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, 1031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1,031 = 395,904

This can also be written as 27 x 31 x 1,0311 = 395,904

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


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