Q: What are the prime factors of the number 1,170,864?

 A: 2, 3, 47, 173

Why are those the prime factors of the number 1,170,864?

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 1,170,864

1,170,864
Factor Arrows
2585,432
Factor Arrows
2292,716
Factor Arrows
2146,358
Factor Arrows
273,179
Factor Arrows
324,393
Factor Arrows
38,131
Factor Arrows
47173

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, 47, 173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 47 x 173 = 1,170,864

This can also be written as 24 x 32 x 471 x 1731 = 1,170,864

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


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