Q: What are the prime factors of the number 1,046,088?

 A: 2, 3, 29, 167

Why are those the prime factors of the number 1,046,088?

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 1,046,088

1,046,088
Factor Arrows
2523,044
Factor Arrows
2261,522
Factor Arrows
2130,761
Factor Arrows
343,587
Factor Arrows
314,529
Factor Arrows
34,843
Factor Arrows
29167

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, 29, 167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 29 x 167 = 1,046,088

This can also be written as 23 x 33 x 291 x 1671 = 1,046,088

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


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