Q: What are the prime factors of the number 26,604,032?

 A: 2, 7, 13, 571

Why are those the prime factors of the number 26,604,032?

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 26,604,032

26,604,032
Factor Arrows
213,302,016
Factor Arrows
26,651,008
Factor Arrows
23,325,504
Factor Arrows
21,662,752
Factor Arrows
2831,376
Factor Arrows
2415,688
Factor Arrows
2207,844
Factor Arrows
2103,922
Factor Arrows
251,961
Factor Arrows
77,423
Factor Arrows
13571

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, 7, 13, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13 x 571 = 26,604,032

This can also be written as 29 x 71 x 131 x 5711 = 26,604,032

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


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