Q: What are the prime factors of the number 787,161,624?

 A: 2, 3, 41, 799961

Why are those the prime factors of the number 787,161,624?

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 787,161,624

787,161,624
Factor Arrows
2393,580,812
Factor Arrows
2196,790,406
Factor Arrows
298,395,203
Factor Arrows
332,798,401
Factor Arrows
41799,961

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, 41, 799961

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 41 x 799,961 = 787,161,624

This can also be written as 23 x 31 x 411 x 799,9611 = 787,161,624

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


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