Q: What are the prime factors of the number 112,030,328?

 A: 2, 47, 297953

Why are those the prime factors of the number 112,030,328?

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 112,030,328

112,030,328
Factor Arrows
256,015,164
Factor Arrows
228,007,582
Factor Arrows
214,003,791
Factor Arrows
47297,953

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, 47, 297953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 47 x 297,953 = 112,030,328

This can also be written as 23 x 471 x 297,9531 = 112,030,328

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


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