Q: What are the prime factors of the number 1,850,016?

 A: 2, 3, 7, 2753

Why are those the prime factors of the number 1,850,016?

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 1,850,016

1,850,016
Factor Arrows
2925,008
Factor Arrows
2462,504
Factor Arrows
2231,252
Factor Arrows
2115,626
Factor Arrows
257,813
Factor Arrows
319,271
Factor Arrows
72,753

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, 7, 2753

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 7 x 2,753 = 1,850,016

This can also be written as 25 x 31 x 71 x 2,7531 = 1,850,016

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


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