Q: What are the prime factors of the number 35,023,216?

 A: 2, 839, 2609

Why are those the prime factors of the number 35,023,216?

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 35,023,216

35,023,216
Factor Arrows
217,511,608
Factor Arrows
28,755,804
Factor Arrows
24,377,902
Factor Arrows
22,188,951
Factor Arrows
8392,609

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, 839, 2609

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 839 x 2,609 = 35,023,216

This can also be written as 24 x 8391 x 2,6091 = 35,023,216

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


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