Q: What are the prime factors of the number 887,607?

 A: 3, 7, 73, 193

Why are those the prime factors of the number 887,607?

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 887,607

887,607
Factor Arrows
3295,869
Factor Arrows
398,623
Factor Arrows
714,089
Factor Arrows
73193

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, 7, 73, 193

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 73 x 193 = 887,607

This can also be written as 32 x 71 x 731 x 1931 = 887,607

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


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