Q: What are the prime factors of the number 140,054,103?

 A: 3, 7, 71

Why are those the prime factors of the number 140,054,103?

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 140,054,103

140,054,103
Factor Arrows
346,684,701
Factor Arrows
315,561,567
Factor Arrows
35,187,189
Factor Arrows
31,729,063
Factor Arrows
7247,009
Factor Arrows
735,287
Factor Arrows
75,041
Factor Arrows
7171

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, 7, 71

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 7 x 7 x 71 x 71 = 140,054,103

This can also be written as 34 x 73 x 712 = 140,054,103

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


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