Q: What are the prime factors of the number 6,405,648?

 A: 2, 3, 133451

Why are those the prime factors of the number 6,405,648?

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 6,405,648

6,405,648
Factor Arrows
23,202,824
Factor Arrows
21,601,412
Factor Arrows
2800,706
Factor Arrows
2400,353
Factor Arrows
3133,451

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, 133451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 133,451 = 6,405,648

This can also be written as 24 x 31 x 133,4511 = 6,405,648

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


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