Q: What are the prime factors of the number 246,271,652?

 A: 2, 11, 269, 20807

Why are those the prime factors of the number 246,271,652?

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 246,271,652

246,271,652
Factor Arrows
2123,135,826
Factor Arrows
261,567,913
Factor Arrows
115,597,083
Factor Arrows
26920,807

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, 11, 269, 20807

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 269 x 20,807 = 246,271,652

This can also be written as 22 x 111 x 2691 x 20,8071 = 246,271,652

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


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