Q: What are the prime factors of the number 1,115,904?

 A: 2, 3, 1453

Why are those the prime factors of the number 1,115,904?

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 1,115,904

1,115,904
Factor Arrows
2557,952
Factor Arrows
2278,976
Factor Arrows
2139,488
Factor Arrows
269,744
Factor Arrows
234,872
Factor Arrows
217,436
Factor Arrows
28,718
Factor Arrows
24,359
Factor Arrows
31,453

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, 1453

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 3 x 1,453 = 1,115,904

This can also be written as 28 x 31 x 1,4531 = 1,115,904

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


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