Q: What are the prime factors of the number 1,168,576?

 A: 2, 19, 31

Why are those the prime factors of the number 1,168,576?

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 1,168,576

1,168,576
Factor Arrows
2584,288
Factor Arrows
2292,144
Factor Arrows
2146,072
Factor Arrows
273,036
Factor Arrows
236,518
Factor Arrows
218,259
Factor Arrows
19961
Factor Arrows
3131

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, 19, 31

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 19 x 31 x 31 = 1,168,576

This can also be written as 26 x 191 x 312 = 1,168,576

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


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