Q: What are the prime factors of the number 887,679?

 A: 3, 13, 281

Why are those the prime factors of the number 887,679?

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 887,679

887,679
Factor Arrows
3295,893
Factor Arrows
398,631
Factor Arrows
332,877
Factor Arrows
310,959
Factor Arrows
33,653
Factor Arrows
13281

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, 13, 281

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 13 x 281 = 887,679

This can also be written as 35 x 131 x 2811 = 887,679

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


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