Q: What are the prime factors of the number 26,852,112?

 A: 2, 3, 7, 17, 1567

Why are those the prime factors of the number 26,852,112?

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 26,852,112

26,852,112
Factor Arrows
213,426,056
Factor Arrows
26,713,028
Factor Arrows
23,356,514
Factor Arrows
21,678,257
Factor Arrows
3559,419
Factor Arrows
3186,473
Factor Arrows
726,639
Factor Arrows
171,567

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, 17, 1567

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 x 1,567 = 26,852,112

This can also be written as 24 x 32 x 71 x 171 x 1,5671 = 26,852,112

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


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