Q: What are the prime factors of the number 2,468,638?

 A: 2, 17, 4271

Why are those the prime factors of the number 2,468,638?

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 2,468,638

2,468,638
Factor Arrows
21,234,319
Factor Arrows
1772,607
Factor Arrows
174,271

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, 17, 4271

We can check our work by multiplying all of the prime factors together: 2 x 17 x 17 x 4,271 = 2,468,638

This can also be written as 21 x 172 x 4,2711 = 2,468,638

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


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