Q: What are the prime factors of the number 425,052,466?

 A: 2, 23, 1381, 6691

Why are those the prime factors of the number 425,052,466?

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 425,052,466

425,052,466
Factor Arrows
2212,526,233
Factor Arrows
239,240,271
Factor Arrows
1,3816,691

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, 23, 1381, 6691

We can check our work by multiplying all of the prime factors together: 2 x 23 x 1,381 x 6,691 = 425,052,466

This can also be written as 21 x 231 x 1,3811 x 6,6911 = 425,052,466

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


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