Q: What are the prime factors of the number 196,087,983?

 A: 3, 7, 13, 718271

Why are those the prime factors of the number 196,087,983?

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 196,087,983

196,087,983
Factor Arrows
365,362,661
Factor Arrows
79,337,523
Factor Arrows
13718,271

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, 13, 718271

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 718,271 = 196,087,983

This can also be written as 31 x 71 x 131 x 718,2711 = 196,087,983

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


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