Q: What are the prime factors of the number 876,888?

 A: 2, 3, 19, 641

Why are those the prime factors of the number 876,888?

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 876,888

876,888
Factor Arrows
2438,444
Factor Arrows
2219,222
Factor Arrows
2109,611
Factor Arrows
336,537
Factor Arrows
312,179
Factor Arrows
19641

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, 19, 641

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 19 x 641 = 876,888

This can also be written as 23 x 32 x 191 x 6411 = 876,888

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


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