Q: What are the prime factors of the number 411,023,104?

 A: 2, 1605559

Why are those the prime factors of the number 411,023,104?

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 411,023,104

411,023,104
Factor Arrows
2205,511,552
Factor Arrows
2102,755,776
Factor Arrows
251,377,888
Factor Arrows
225,688,944
Factor Arrows
212,844,472
Factor Arrows
26,422,236
Factor Arrows
23,211,118
Factor Arrows
21,605,559

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, 1605559

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 2 x 1,605,559 = 411,023,104

This can also be written as 28 x 1,605,5591 = 411,023,104

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


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