Q: What are the prime factors of the number 1,670,922?

 A: 2, 3, 11, 29, 97

Why are those the prime factors of the number 1,670,922?

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 1,670,922

1,670,922
Factor Arrows
2835,461
Factor Arrows
3278,487
Factor Arrows
392,829
Factor Arrows
330,943
Factor Arrows
112,813
Factor Arrows
2997

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, 11, 29, 97

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 11 x 29 x 97 = 1,670,922

This can also be written as 21 x 33 x 111 x 291 x 971 = 1,670,922

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


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