Q: What are the prime factors of the number 2,486,862?

 A: 2, 3, 7, 17, 43

Why are those the prime factors of the number 2,486,862?

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 2,486,862

2,486,862
Factor Arrows
21,243,431
Factor Arrows
3414,477
Factor Arrows
3138,159
Factor Arrows
346,053
Factor Arrows
315,351
Factor Arrows
35,117
Factor Arrows
7731
Factor Arrows
1743

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, 17, 43

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 7 x 17 x 43 = 2,486,862

This can also be written as 21 x 35 x 71 x 171 x 431 = 2,486,862

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


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