Q: What are the prime factors of the number 125,586,546?

 A: 2, 3, 241, 86851

Why are those the prime factors of the number 125,586,546?

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 125,586,546

125,586,546
Factor Arrows
262,793,273
Factor Arrows
320,931,091
Factor Arrows
24186,851

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:

2, 3, 241, 86851

We can check our work by multiplying all of the prime factors together: 2 x 3 x 241 x 86,851 = 125,586,546

This can also be written as 21 x 31 x 2411 x 86,8511 = 125,586,546

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


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