Q: What are the prime factors of the number 276,664,778?

 A: 2, 13, 409, 26017

Why are those the prime factors of the number 276,664,778?

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 276,664,778

276,664,778
Factor Arrows
2138,332,389
Factor Arrows
1310,640,953
Factor Arrows
40926,017

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, 13, 409, 26017

We can check our work by multiplying all of the prime factors together: 2 x 13 x 409 x 26,017 = 276,664,778

This can also be written as 21 x 131 x 4091 x 26,0171 = 276,664,778

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


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