Q: What are the prime factors of the number 246,640,254?

 A: 2, 3, 7, 19, 16267

Why are those the prime factors of the number 246,640,254?

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 246,640,254

246,640,254
Factor Arrows
2123,320,127
Factor Arrows
341,106,709
Factor Arrows
75,872,387
Factor Arrows
19309,073
Factor Arrows
1916,267

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, 19, 16267

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 19 x 19 x 16,267 = 246,640,254

This can also be written as 21 x 31 x 71 x 192 x 16,2671 = 246,640,254

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


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