Q: What are the prime factors of the number 246,161,622?

 A: 2, 3, 7, 41, 163, 877

Why are those the prime factors of the number 246,161,622?

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 246,161,622

246,161,622
Factor Arrows
2123,080,811
Factor Arrows
341,026,937
Factor Arrows
75,860,991
Factor Arrows
41142,951
Factor Arrows
163877

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, 7, 41, 163, 877

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 41 x 163 x 877 = 246,161,622

This can also be written as 21 x 31 x 71 x 411 x 1631 x 8771 = 246,161,622

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


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