Q: What are the prime factors of the number 140,709?

 A: 3, 17, 31, 89

Why are those the prime factors of the number 140,709?

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 140,709

140,709
Factor Arrows
346,903
Factor Arrows
172,759
Factor Arrows
3189

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, 17, 31, 89

We can check our work by multiplying all of the prime factors together: 3 x 17 x 31 x 89 = 140,709

This can also be written as 31 x 171 x 311 x 891 = 140,709

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


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