Q: What are the prime factors of the number 308,060,280?

 A: 2, 3, 5, 11, 25931

Why are those the prime factors of the number 308,060,280?

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 308,060,280

308,060,280
Factor Arrows
2154,030,140
Factor Arrows
277,015,070
Factor Arrows
238,507,535
Factor Arrows
312,835,845
Factor Arrows
34,278,615
Factor Arrows
31,426,205
Factor Arrows
5285,241
Factor Arrows
1125,931

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, 25931

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 25,931 = 308,060,280

This can also be written as 23 x 33 x 51 x 111 x 25,9311 = 308,060,280

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


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