Q: What are the prime factors of the number 1,718,416?

 A: 2, 7, 67, 229

Why are those the prime factors of the number 1,718,416?

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 1,718,416

1,718,416
Factor Arrows
2859,208
Factor Arrows
2429,604
Factor Arrows
2214,802
Factor Arrows
2107,401
Factor Arrows
715,343
Factor Arrows
67229

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, 67, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 67 x 229 = 1,718,416

This can also be written as 24 x 71 x 671 x 2291 = 1,718,416

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


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