Q: What are the prime factors of the number 276,637,108?

 A: 2, 11, 113, 55639

Why are those the prime factors of the number 276,637,108?

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 276,637,108

276,637,108
Factor Arrows
2138,318,554
Factor Arrows
269,159,277
Factor Arrows
116,287,207
Factor Arrows
11355,639

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, 113, 55639

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 113 x 55,639 = 276,637,108

This can also be written as 22 x 111 x 1131 x 55,6391 = 276,637,108

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


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