Q: What are the prime factors of the number 32,537,920?

 A: 2, 5, 101681

Why are those the prime factors of the number 32,537,920?

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 32,537,920

32,537,920
Factor Arrows
216,268,960
Factor Arrows
28,134,480
Factor Arrows
24,067,240
Factor Arrows
22,033,620
Factor Arrows
21,016,810
Factor Arrows
2508,405
Factor Arrows
5101,681

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, 5, 101681

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 5 x 101,681 = 32,537,920

This can also be written as 26 x 51 x 101,6811 = 32,537,920

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


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