Q: What are the prime factors of the number 1,268,992?

 A: 2, 4957

Why are those the prime factors of the number 1,268,992?

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 1,268,992

1,268,992
Factor Arrows
2634,496
Factor Arrows
2317,248
Factor Arrows
2158,624
Factor Arrows
279,312
Factor Arrows
239,656
Factor Arrows
219,828
Factor Arrows
29,914
Factor Arrows
24,957

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, 4957

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 4,957 = 1,268,992

This can also be written as 28 x 4,9571 = 1,268,992

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


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