Q: What are the prime factors of the number 140,534,217?

 A: 3, 53, 98207

Why are those the prime factors of the number 140,534,217?

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 140,534,217

140,534,217
Factor Arrows
346,844,739
Factor Arrows
315,614,913
Factor Arrows
35,204,971
Factor Arrows
5398,207

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, 53, 98207

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 53 x 98,207 = 140,534,217

This can also be written as 33 x 531 x 98,2071 = 140,534,217

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


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