Q: What are the prime factors of the number 100,738,242?

 A: 2, 3, 11, 56531

Why are those the prime factors of the number 100,738,242?

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 100,738,242

100,738,242
Factor Arrows
250,369,121
Factor Arrows
316,789,707
Factor Arrows
35,596,569
Factor Arrows
31,865,523
Factor Arrows
3621,841
Factor Arrows
1156,531

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, 11, 56531

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 11 x 56,531 = 100,738,242

This can also be written as 21 x 34 x 111 x 56,5311 = 100,738,242

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


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