Q: What are the prime factors of the number 42,650,112?

 A: 2, 3, 27767

Why are those the prime factors of the number 42,650,112?

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 42,650,112

42,650,112
Factor Arrows
221,325,056
Factor Arrows
210,662,528
Factor Arrows
25,331,264
Factor Arrows
22,665,632
Factor Arrows
21,332,816
Factor Arrows
2666,408
Factor Arrows
2333,204
Factor Arrows
2166,602
Factor Arrows
283,301
Factor Arrows
327,767

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, 27767

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 3 x 27,767 = 42,650,112

This can also be written as 29 x 31 x 27,7671 = 42,650,112

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


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