Q: What are the prime factors of the number 1,940,337?

 A: 3, 7, 19, 1621

Why are those the prime factors of the number 1,940,337?

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 1,940,337

1,940,337
Factor Arrows
3646,779
Factor Arrows
3215,593
Factor Arrows
730,799
Factor Arrows
191,621

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:

3, 7, 19, 1621

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 19 x 1,621 = 1,940,337

This can also be written as 32 x 71 x 191 x 1,6211 = 1,940,337

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


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