Q: What are the prime factors of the number 25,530,552?

 A: 2, 3, 23, 571

Why are those the prime factors of the number 25,530,552?

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 25,530,552

25,530,552
Factor Arrows
212,765,276
Factor Arrows
26,382,638
Factor Arrows
23,191,319
Factor Arrows
31,063,773
Factor Arrows
3354,591
Factor Arrows
3118,197
Factor Arrows
339,399
Factor Arrows
313,133
Factor Arrows
23571

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, 23, 571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 23 x 571 = 25,530,552

This can also be written as 23 x 35 x 231 x 5711 = 25,530,552

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


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