Q: What are the prime factors of the number 100,143,027?

 A: 3, 137, 27073

Why are those the prime factors of the number 100,143,027?

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 100,143,027

100,143,027
Factor Arrows
333,381,009
Factor Arrows
311,127,003
Factor Arrows
33,709,001
Factor Arrows
13727,073

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, 137, 27073

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 137 x 27,073 = 100,143,027

This can also be written as 33 x 1371 x 27,0731 = 100,143,027

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


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