Q: What are the prime factors of the number 26,201,248?

 A: 2, 227, 3607

Why are those the prime factors of the number 26,201,248?

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 26,201,248

26,201,248
Factor Arrows
213,100,624
Factor Arrows
26,550,312
Factor Arrows
23,275,156
Factor Arrows
21,637,578
Factor Arrows
2818,789
Factor Arrows
2273,607

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, 227, 3607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 227 x 3,607 = 26,201,248

This can also be written as 25 x 2271 x 3,6071 = 26,201,248

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


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