Q: What are the prime factors of the number 276,625,881?

 A: 3, 7, 269, 5441

Why are those the prime factors of the number 276,625,881?

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 276,625,881

276,625,881
Factor Arrows
392,208,627
Factor Arrows
330,736,209
Factor Arrows
310,245,403
Factor Arrows
71,463,629
Factor Arrows
2695,441

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:

3, 7, 269, 5441

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 269 x 5,441 = 276,625,881

This can also be written as 33 x 71 x 2691 x 5,4411 = 276,625,881

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


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