Q: What are the prime factors of the number 1,172,928?

 A: 2, 3, 41, 149

Why are those the prime factors of the number 1,172,928?

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 1,172,928

1,172,928
Factor Arrows
2586,464
Factor Arrows
2293,232
Factor Arrows
2146,616
Factor Arrows
273,308
Factor Arrows
236,654
Factor Arrows
218,327
Factor Arrows
36,109
Factor Arrows
41149

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, 41, 149

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 3 x 41 x 149 = 1,172,928

This can also be written as 26 x 31 x 411 x 1491 = 1,172,928

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


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