Q: What are the prime factors of the number 276,771,760?

 A: 2, 5, 79, 43793

Why are those the prime factors of the number 276,771,760?

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 276,771,760

276,771,760
Factor Arrows
2138,385,880
Factor Arrows
269,192,940
Factor Arrows
234,596,470
Factor Arrows
217,298,235
Factor Arrows
53,459,647
Factor Arrows
7943,793

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, 5, 79, 43793

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 79 x 43,793 = 276,771,760

This can also be written as 24 x 51 x 791 x 43,7931 = 276,771,760

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


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