Q: What are the prime factors of the number 878,664?

 A: 2, 3, 31, 1181

Why are those the prime factors of the number 878,664?

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 878,664

878,664
Factor Arrows
2439,332
Factor Arrows
2219,666
Factor Arrows
2109,833
Factor Arrows
336,611
Factor Arrows
311,181

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, 31, 1181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 31 x 1,181 = 878,664

This can also be written as 23 x 31 x 311 x 1,1811 = 878,664

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


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