Q: What are the prime factors of the number 111,425,386?

 A: 2, 19, 23, 241

Why are those the prime factors of the number 111,425,386?

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 111,425,386

111,425,386
Factor Arrows
255,712,693
Factor Arrows
192,932,247
Factor Arrows
23127,489
Factor Arrows
235,543
Factor Arrows
23241

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, 19, 23, 241

We can check our work by multiplying all of the prime factors together: 2 x 19 x 23 x 23 x 23 x 241 = 111,425,386

This can also be written as 21 x 191 x 233 x 2411 = 111,425,386

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


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