Q: What are the prime factors of the number 112,120,008?

 A: 2, 3, 7, 11, 13, 359

Why are those the prime factors of the number 112,120,008?

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 112,120,008

112,120,008
Factor Arrows
256,060,004
Factor Arrows
228,030,002
Factor Arrows
214,015,001
Factor Arrows
34,671,667
Factor Arrows
7667,381
Factor Arrows
1160,671
Factor Arrows
134,667
Factor Arrows
13359

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, 7, 11, 13, 359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 11 x 13 x 13 x 359 = 112,120,008

This can also be written as 23 x 31 x 71 x 111 x 132 x 3591 = 112,120,008

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


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