Q: What are the prime factors of the number 13,524,775?

 A: 5, 11, 17, 263

Why are those the prime factors of the number 13,524,775?

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 13,524,775

13,524,775
Factor Arrows
52,704,955
Factor Arrows
5540,991
Factor Arrows
1149,181
Factor Arrows
114,471
Factor Arrows
17263

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:

5, 11, 17, 263

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 11 x 17 x 263 = 13,524,775

This can also be written as 52 x 112 x 171 x 2631 = 13,524,775

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


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