Q: What are the prime factors of the number 1,650,048?

 A: 2, 3, 4297

Why are those the prime factors of the number 1,650,048?

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 1,650,048

1,650,048
Factor Arrows
2825,024
Factor Arrows
2412,512
Factor Arrows
2206,256
Factor Arrows
2103,128
Factor Arrows
251,564
Factor Arrows
225,782
Factor Arrows
212,891
Factor Arrows
34,297

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, 4297

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 4,297 = 1,650,048

This can also be written as 27 x 31 x 4,2971 = 1,650,048

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


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