Q: What are the prime factors of the number 2,506,464?

 A: 2, 3, 967

Why are those the prime factors of the number 2,506,464?

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 2,506,464

2,506,464
Factor Arrows
21,253,232
Factor Arrows
2626,616
Factor Arrows
2313,308
Factor Arrows
2156,654
Factor Arrows
278,327
Factor Arrows
326,109
Factor Arrows
38,703
Factor Arrows
32,901
Factor Arrows
3967

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, 967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 967 = 2,506,464

This can also be written as 25 x 34 x 9671 = 2,506,464

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


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