Q: What are the prime factors of the number 1,375,866?

 A: 2, 3, 19, 149

Why are those the prime factors of the number 1,375,866?

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 1,375,866

1,375,866
Factor Arrows
2687,933
Factor Arrows
3229,311
Factor Arrows
376,437
Factor Arrows
325,479
Factor Arrows
38,493
Factor Arrows
32,831
Factor Arrows
19149

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, 19, 149

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 19 x 149 = 1,375,866

This can also be written as 21 x 35 x 191 x 1491 = 1,375,866

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


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