Q: What are the prime factors of the number 246,885,814?

 A: 2, 7, 101, 24943

Why are those the prime factors of the number 246,885,814?

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 246,885,814

246,885,814
Factor Arrows
2123,442,907
Factor Arrows
717,634,701
Factor Arrows
72,519,243
Factor Arrows
10124,943

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, 7, 101, 24943

We can check our work by multiplying all of the prime factors together: 2 x 7 x 7 x 101 x 24,943 = 246,885,814

This can also be written as 21 x 72 x 1011 x 24,9431 = 246,885,814

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


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