Q: What are the prime factors of the number 32,536,032?

 A: 2, 3, 47, 7211

Why are those the prime factors of the number 32,536,032?

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 32,536,032

32,536,032
Factor Arrows
216,268,016
Factor Arrows
28,134,008
Factor Arrows
24,067,004
Factor Arrows
22,033,502
Factor Arrows
21,016,751
Factor Arrows
3338,917
Factor Arrows
477,211

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, 7211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 47 x 7,211 = 32,536,032

This can also be written as 25 x 31 x 471 x 7,2111 = 32,536,032

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


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