Q: What are the prime factors of the number 52,453,093?

 A: 7, 11, 53, 12853

Why are those the prime factors of the number 52,453,093?

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 52,453,093

52,453,093
Factor Arrows
77,493,299
Factor Arrows
11681,209
Factor Arrows
5312,853

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:

7, 11, 53, 12853

We can check our work by multiplying all of the prime factors together: 7 x 11 x 53 x 12,853 = 52,453,093

This can also be written as 71 x 111 x 531 x 12,8531 = 52,453,093

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


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