Q: What are the prime factors of the number 1,316,574?

 A: 2, 3, 7, 43

Why are those the prime factors of the number 1,316,574?

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 1,316,574

1,316,574
Factor Arrows
2658,287
Factor Arrows
3219,429
Factor Arrows
373,143
Factor Arrows
324,381
Factor Arrows
38,127
Factor Arrows
32,709
Factor Arrows
3903
Factor Arrows
3301
Factor Arrows
743

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, 7, 43

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 3 x 3 x 7 x 43 = 1,316,574

This can also be written as 21 x 37 x 71 x 431 = 1,316,574

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


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