Q: What are the prime factors of the number 2,311,398?

 A: 2, 3, 128411

Why are those the prime factors of the number 2,311,398?

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 2,311,398

2,311,398
Factor Arrows
21,155,699
Factor Arrows
3385,233
Factor Arrows
3128,411

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, 128411

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 128,411 = 2,311,398

This can also be written as 21 x 32 x 128,4111 = 2,311,398

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


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