Q: What are the prime factors of the number 1,642,112?

 A: 2, 12829

Why are those the prime factors of the number 1,642,112?

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 1,642,112

1,642,112
Factor Arrows
2821,056
Factor Arrows
2410,528
Factor Arrows
2205,264
Factor Arrows
2102,632
Factor Arrows
251,316
Factor Arrows
225,658
Factor Arrows
212,829

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, 12829

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 12,829 = 1,642,112

This can also be written as 27 x 12,8291 = 1,642,112

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


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