Q: What are the prime factors of the number 1,679,850?

 A: 2, 3, 5, 3733

Why are those the prime factors of the number 1,679,850?

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 1,679,850

1,679,850
Factor Arrows
2839,925
Factor Arrows
3279,975
Factor Arrows
393,325
Factor Arrows
518,665
Factor Arrows
53,733

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, 5, 3733

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 3,733 = 1,679,850

This can also be written as 21 x 32 x 52 x 3,7331 = 1,679,850

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


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