Q: What are the prime factors of the number 25,132,584?

 A: 2, 3, 59, 17749

Why are those the prime factors of the number 25,132,584?

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 25,132,584

25,132,584
Factor Arrows
212,566,292
Factor Arrows
26,283,146
Factor Arrows
23,141,573
Factor Arrows
31,047,191
Factor Arrows
5917,749

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, 59, 17749

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 59 x 17,749 = 25,132,584

This can also be written as 23 x 31 x 591 x 17,7491 = 25,132,584

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


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