Q: What are the prime factors of the number 202,052,304?

 A: 2, 3, 131, 10711

Why are those the prime factors of the number 202,052,304?

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 202,052,304

202,052,304
Factor Arrows
2101,026,152
Factor Arrows
250,513,076
Factor Arrows
225,256,538
Factor Arrows
212,628,269
Factor Arrows
34,209,423
Factor Arrows
31,403,141
Factor Arrows
13110,711

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, 131, 10711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 131 x 10,711 = 202,052,304

This can also be written as 24 x 32 x 1311 x 10,7111 = 202,052,304

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


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