Q: What are the prime factors of the number 246,515,325?

 A: 3, 5, 7, 67079

Why are those the prime factors of the number 246,515,325?

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 246,515,325

246,515,325
Factor Arrows
382,171,775
Factor Arrows
516,434,355
Factor Arrows
53,286,871
Factor Arrows
7469,553
Factor Arrows
767,079

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:

3, 5, 7, 67079

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 7 x 67,079 = 246,515,325

This can also be written as 31 x 52 x 72 x 67,0791 = 246,515,325

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


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