Q: What are the prime factors of the number 111,344,454?

 A: 2, 3, 13, 475831

Why are those the prime factors of the number 111,344,454?

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 111,344,454

111,344,454
Factor Arrows
255,672,227
Factor Arrows
318,557,409
Factor Arrows
36,185,803
Factor Arrows
13475,831

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, 13, 475831

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 475,831 = 111,344,454

This can also be written as 21 x 32 x 131 x 475,8311 = 111,344,454

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


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