Q: What are the prime factors of the number 2,024,386?

 A: 2, 7, 13, 227

Why are those the prime factors of the number 2,024,386?

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 2,024,386

2,024,386
Factor Arrows
21,012,193
Factor Arrows
7144,599
Factor Arrows
720,657
Factor Arrows
72,951
Factor Arrows
13227

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, 7, 13, 227

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 7 x 13 x 227 = 2,024,386

This can also be written as 21 x 73 x 131 x 2271 = 2,024,386

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


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