Q: What are the prime factors of the number 482,871,555?

 A: 3, 5, 41, 157, 1667

Why are those the prime factors of the number 482,871,555?

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 482,871,555

482,871,555
Factor Arrows
3160,957,185
Factor Arrows
353,652,395
Factor Arrows
510,730,479
Factor Arrows
41261,719
Factor Arrows
1571,667

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, 41, 157, 1667

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 41 x 157 x 1,667 = 482,871,555

This can also be written as 32 x 51 x 411 x 1571 x 1,6671 = 482,871,555

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


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