Q: What are the prime factors of the number 1,469,216?

 A: 2, 7, 937

Why are those the prime factors of the number 1,469,216?

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 1,469,216

1,469,216
Factor Arrows
2734,608
Factor Arrows
2367,304
Factor Arrows
2183,652
Factor Arrows
291,826
Factor Arrows
245,913
Factor Arrows
76,559
Factor Arrows
7937

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, 7, 937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 7 x 937 = 1,469,216

This can also be written as 25 x 72 x 9371 = 1,469,216

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


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