Q: What are the prime factors of the number 875,934?

 A: 2, 3, 5407

Why are those the prime factors of the number 875,934?

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 875,934

875,934
Factor Arrows
2437,967
Factor Arrows
3145,989
Factor Arrows
348,663
Factor Arrows
316,221
Factor Arrows
35,407

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, 5407

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5,407 = 875,934

This can also be written as 21 x 34 x 5,4071 = 875,934

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


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