Q: What are the prime factors of the number 113,020,254?

 A: 2, 3, 43, 146021

Why are those the prime factors of the number 113,020,254?

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 113,020,254

113,020,254
Factor Arrows
256,510,127
Factor Arrows
318,836,709
Factor Arrows
36,278,903
Factor Arrows
43146,021

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, 43, 146021

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 43 x 146,021 = 113,020,254

This can also be written as 21 x 32 x 431 x 146,0211 = 113,020,254

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


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