Q: What are the prime factors of the number 1,374,016?

 A: 2, 7, 3067

Why are those the prime factors of the number 1,374,016?

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 1,374,016

1,374,016
Factor Arrows
2687,008
Factor Arrows
2343,504
Factor Arrows
2171,752
Factor Arrows
285,876
Factor Arrows
242,938
Factor Arrows
221,469
Factor Arrows
73,067

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, 3067

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 7 x 3,067 = 1,374,016

This can also be written as 26 x 71 x 3,0671 = 1,374,016

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


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