Q: What are the prime factors of the number 52,020,804?

 A: 2, 3, 11, 3257

Why are those the prime factors of the number 52,020,804?

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 52,020,804

52,020,804
Factor Arrows
226,010,402
Factor Arrows
213,005,201
Factor Arrows
34,335,067
Factor Arrows
11394,097
Factor Arrows
1135,827
Factor Arrows
113,257

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, 3257

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 11 x 11 x 3,257 = 52,020,804

This can also be written as 22 x 31 x 113 x 3,2571 = 52,020,804

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


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