Q: What are the prime factors of the number 1,670,420?

 A: 2, 5, 17

Why are those the prime factors of the number 1,670,420?

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 1,670,420

1,670,420
Factor Arrows
2835,210
Factor Arrows
2417,605
Factor Arrows
583,521
Factor Arrows
174,913
Factor Arrows
17289
Factor Arrows
1717

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, 5, 17

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 17 x 17 x 17 = 1,670,420

This can also be written as 22 x 51 x 174 = 1,670,420

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


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