Q: What are the prime factors of the number 212,532,032?

 A: 2, 31, 107123

Why are those the prime factors of the number 212,532,032?

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 212,532,032

212,532,032
Factor Arrows
2106,266,016
Factor Arrows
253,133,008
Factor Arrows
226,566,504
Factor Arrows
213,283,252
Factor Arrows
26,641,626
Factor Arrows
23,320,813
Factor Arrows
31107,123

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, 31, 107123

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 31 x 107,123 = 212,532,032

This can also be written as 26 x 311 x 107,1231 = 212,532,032

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


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