Q: What are the prime factors of the number 2,469,952?

 A: 2, 38593

Why are those the prime factors of the number 2,469,952?

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 2,469,952

2,469,952
Factor Arrows
21,234,976
Factor Arrows
2617,488
Factor Arrows
2308,744
Factor Arrows
2154,372
Factor Arrows
277,186
Factor Arrows
238,593

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, 38593

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 38,593 = 2,469,952

This can also be written as 26 x 38,5931 = 2,469,952

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


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