Q: What are the prime factors of the number 52,445,250?

 A: 2, 3, 5, 11, 13, 163

Why are those the prime factors of the number 52,445,250?

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 52,445,250

52,445,250
Factor Arrows
226,222,625
Factor Arrows
38,740,875
Factor Arrows
32,913,625
Factor Arrows
5582,725
Factor Arrows
5116,545
Factor Arrows
523,309
Factor Arrows
112,119
Factor Arrows
13163

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, 5, 11, 13, 163

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 5 x 11 x 13 x 163 = 52,445,250

This can also be written as 21 x 32 x 53 x 111 x 131 x 1631 = 52,445,250

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


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