Q: What are the prime factors of the number 8,118,451?

 A: 11, 41, 47, 383

Why are those the prime factors of the number 8,118,451?

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 8,118,451

8,118,451
Factor Arrows
11738,041
Factor Arrows
4118,001
Factor Arrows
47383

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:

11, 41, 47, 383

We can check our work by multiplying all of the prime factors together: 11 x 41 x 47 x 383 = 8,118,451

This can also be written as 111 x 411 x 471 x 3831 = 8,118,451

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


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