Q: What are the prime factors of the number 623,261,265?

 A: 3, 5, 11, 3777341

Why are those the prime factors of the number 623,261,265?

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 623,261,265

623,261,265
Factor Arrows
3207,753,755
Factor Arrows
541,550,751
Factor Arrows
113,777,341

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, 5, 11, 3777341

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 3,777,341 = 623,261,265

This can also be written as 31 x 51 x 111 x 3,777,3411 = 623,261,265

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


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