Q: What are the prime factors of the number 25,020,560?

 A: 2, 5, 312757

Why are those the prime factors of the number 25,020,560?

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 25,020,560

25,020,560
Factor Arrows
212,510,280
Factor Arrows
26,255,140
Factor Arrows
23,127,570
Factor Arrows
21,563,785
Factor Arrows
5312,757

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, 5, 312757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 312,757 = 25,020,560

This can also be written as 24 x 51 x 312,7571 = 25,020,560

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


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