Q: What are the prime factors of the number 142,350,221?

 A: 13, 64793

Why are those the prime factors of the number 142,350,221?

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 142,350,221

142,350,221
Factor Arrows
1310,950,017
Factor Arrows
13842,309
Factor Arrows
1364,793

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:

13, 64793

We can check our work by multiplying all of the prime factors together: 13 x 13 x 13 x 64,793 = 142,350,221

This can also be written as 133 x 64,7931 = 142,350,221

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


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