Q: What are the prime factors of the number 276,736,064?

 A: 2, 11, 17, 19, 1217

Why are those the prime factors of the number 276,736,064?

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 276,736,064

276,736,064
Factor Arrows
2138,368,032
Factor Arrows
269,184,016
Factor Arrows
234,592,008
Factor Arrows
217,296,004
Factor Arrows
28,648,002
Factor Arrows
24,324,001
Factor Arrows
11393,091
Factor Arrows
1723,123
Factor Arrows
191,217

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, 11, 17, 19, 1217

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 11 x 17 x 19 x 1,217 = 276,736,064

This can also be written as 26 x 111 x 171 x 191 x 1,2171 = 276,736,064

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


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