Q: What are the prime factors of the number 100,375,155?

 A: 3, 5, 439, 5081

Why are those the prime factors of the number 100,375,155?

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 100,375,155

100,375,155
Factor Arrows
333,458,385
Factor Arrows
311,152,795
Factor Arrows
52,230,559
Factor Arrows
4395,081

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, 439, 5081

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 439 x 5,081 = 100,375,155

This can also be written as 32 x 51 x 4391 x 5,0811 = 100,375,155

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


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