Q: What are the prime factors of the number 142,012,205?

 A: 5, 3583, 7927

Why are those the prime factors of the number 142,012,205?

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 142,012,205

142,012,205
Factor Arrows
528,402,441
Factor Arrows
3,5837,927

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:

5, 3583, 7927

We can check our work by multiplying all of the prime factors together: 5 x 3,583 x 7,927 = 142,012,205

This can also be written as 51 x 3,5831 x 7,9271 = 142,012,205

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


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