Q: What are the prime factors of the number 1,750,016?

 A: 2, 1709

Why are those the prime factors of the number 1,750,016?

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 1,750,016

1,750,016
Factor Arrows
2875,008
Factor Arrows
2437,504
Factor Arrows
2218,752
Factor Arrows
2109,376
Factor Arrows
254,688
Factor Arrows
227,344
Factor Arrows
213,672
Factor Arrows
26,836
Factor Arrows
23,418
Factor Arrows
21,709

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, 1709

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,709 = 1,750,016

This can also be written as 210 x 1,7091 = 1,750,016

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


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