Q: What are the prime factors of the number 4,419,456?

 A: 2, 3, 17, 677

Why are those the prime factors of the number 4,419,456?

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 4,419,456

4,419,456
Factor Arrows
22,209,728
Factor Arrows
21,104,864
Factor Arrows
2552,432
Factor Arrows
2276,216
Factor Arrows
2138,108
Factor Arrows
269,054
Factor Arrows
234,527
Factor Arrows
311,509
Factor Arrows
17677

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, 17, 677

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 677 = 4,419,456

This can also be written as 27 x 31 x 171 x 6771 = 4,419,456

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


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