Q: What are the prime factors of the number 100,837,545?

 A: 3, 5, 1871, 3593

Why are those the prime factors of the number 100,837,545?

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 100,837,545

100,837,545
Factor Arrows
333,612,515
Factor Arrows
56,722,503
Factor Arrows
1,8713,593

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:

3, 5, 1871, 3593

We can check our work by multiplying all of the prime factors together: 3 x 5 x 1,871 x 3,593 = 100,837,545

This can also be written as 31 x 51 x 1,8711 x 3,5931 = 100,837,545

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


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