Q: What are the prime factors of the number 107,841,732?

 A: 2, 3, 73, 307, 401

Why are those the prime factors of the number 107,841,732?

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 107,841,732

107,841,732
Factor Arrows
253,920,866
Factor Arrows
226,960,433
Factor Arrows
38,986,811
Factor Arrows
73123,107
Factor Arrows
307401

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, 73, 307, 401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 73 x 307 x 401 = 107,841,732

This can also be written as 22 x 31 x 731 x 3071 x 4011 = 107,841,732

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


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