Q: What are the prime factors of the number 3,842,568?

 A: 2, 3, 83, 643

Why are those the prime factors of the number 3,842,568?

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 3,842,568

3,842,568
Factor Arrows
21,921,284
Factor Arrows
2960,642
Factor Arrows
2480,321
Factor Arrows
3160,107
Factor Arrows
353,369
Factor Arrows
83643

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, 83, 643

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 83 x 643 = 3,842,568

This can also be written as 23 x 32 x 831 x 6431 = 3,842,568

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


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