Q: What are the prime factors of the number 62,877,276?

 A: 2, 3, 7, 11, 7561

Why are those the prime factors of the number 62,877,276?

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 62,877,276

62,877,276
Factor Arrows
231,438,638
Factor Arrows
215,719,319
Factor Arrows
35,239,773
Factor Arrows
31,746,591
Factor Arrows
3582,197
Factor Arrows
783,171
Factor Arrows
117,561

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, 3, 7, 11, 7561

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 11 x 7,561 = 62,877,276

This can also be written as 22 x 33 x 71 x 111 x 7,5611 = 62,877,276

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


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