Q: What are the prime factors of the number 111,202,443?

 A: 3, 11, 29, 12911

Why are those the prime factors of the number 111,202,443?

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 111,202,443

111,202,443
Factor Arrows
337,067,481
Factor Arrows
312,355,827
Factor Arrows
34,118,609
Factor Arrows
11374,419
Factor Arrows
2912,911

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, 11, 29, 12911

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 29 x 12,911 = 111,202,443

This can also be written as 33 x 111 x 291 x 12,9111 = 111,202,443

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


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