Q: What are the prime factors of the number 411,854,852?

 A: 2, 17, 359, 16871

Why are those the prime factors of the number 411,854,852?

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 411,854,852

411,854,852
Factor Arrows
2205,927,426
Factor Arrows
2102,963,713
Factor Arrows
176,056,689
Factor Arrows
35916,871

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, 17, 359, 16871

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 359 x 16,871 = 411,854,852

This can also be written as 22 x 171 x 3591 x 16,8711 = 411,854,852

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


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