Q: What are the prime factors of the number 126,242,955?

 A: 3, 5, 311711

Why are those the prime factors of the number 126,242,955?

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 126,242,955

126,242,955
Factor Arrows
342,080,985
Factor Arrows
314,026,995
Factor Arrows
34,675,665
Factor Arrows
31,558,555
Factor Arrows
5311,711

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, 5, 311711

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 311,711 = 126,242,955

This can also be written as 34 x 51 x 311,7111 = 126,242,955

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


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