Q: What are the prime factors of the number 887,632?

 A: 2, 29, 1913

Why are those the prime factors of the number 887,632?

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 887,632

887,632
Factor Arrows
2443,816
Factor Arrows
2221,908
Factor Arrows
2110,954
Factor Arrows
255,477
Factor Arrows
291,913

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, 29, 1913

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 29 x 1,913 = 887,632

This can also be written as 24 x 291 x 1,9131 = 887,632

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


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