Q: What are the prime factors of the number 1,069,712?

 A: 2, 7, 9551

Why are those the prime factors of the number 1,069,712?

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 1,069,712

1,069,712
Factor Arrows
2534,856
Factor Arrows
2267,428
Factor Arrows
2133,714
Factor Arrows
266,857
Factor Arrows
79,551

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, 9551

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 9,551 = 1,069,712

This can also be written as 24 x 71 x 9,5511 = 1,069,712

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


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