Q: What are the prime factors of the number 112,551,424?

 A: 2, 17, 67, 193

Why are those the prime factors of the number 112,551,424?

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 112,551,424

112,551,424
Factor Arrows
256,275,712
Factor Arrows
228,137,856
Factor Arrows
214,068,928
Factor Arrows
27,034,464
Factor Arrows
23,517,232
Factor Arrows
21,758,616
Factor Arrows
2879,308
Factor Arrows
2439,654
Factor Arrows
2219,827
Factor Arrows
1712,931
Factor Arrows
67193

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, 17, 67, 193

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 67 x 193 = 112,551,424

This can also be written as 29 x 171 x 671 x 1931 = 112,551,424

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


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