Q: What are the prime factors of the number 112,015,244?

 A: 2, 11, 17, 23, 383

Why are those the prime factors of the number 112,015,244?

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 112,015,244

112,015,244
Factor Arrows
256,007,622
Factor Arrows
228,003,811
Factor Arrows
112,545,801
Factor Arrows
17149,753
Factor Arrows
178,809
Factor Arrows
23383

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, 11, 17, 23, 383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 17 x 17 x 23 x 383 = 112,015,244

This can also be written as 22 x 111 x 172 x 231 x 3831 = 112,015,244

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


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