Q: What are the prime factors of the number 25,220,052?

 A: 2, 3, 11, 13, 23, 71

Why are those the prime factors of the number 25,220,052?

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 25,220,052

25,220,052
Factor Arrows
212,610,026
Factor Arrows
26,305,013
Factor Arrows
32,101,671
Factor Arrows
3700,557
Factor Arrows
3233,519
Factor Arrows
1121,229
Factor Arrows
131,633
Factor Arrows
2371

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, 11, 13, 23, 71

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 11 x 13 x 23 x 71 = 25,220,052

This can also be written as 22 x 33 x 111 x 131 x 231 x 711 = 25,220,052

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


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