Q: What are the prime factors of the number 52,036,368?

 A: 2, 3, 197, 5503

Why are those the prime factors of the number 52,036,368?

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 52,036,368

52,036,368
Factor Arrows
226,018,184
Factor Arrows
213,009,092
Factor Arrows
26,504,546
Factor Arrows
23,252,273
Factor Arrows
31,084,091
Factor Arrows
1975,503

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, 197, 5503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 197 x 5,503 = 52,036,368

This can also be written as 24 x 31 x 1971 x 5,5031 = 52,036,368

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


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