Q: What are the prime factors of the number 422,355,050?

 A: 2, 5, 13, 649777

Why are those the prime factors of the number 422,355,050?

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 422,355,050

422,355,050
Factor Arrows
2211,177,525
Factor Arrows
542,235,505
Factor Arrows
58,447,101
Factor Arrows
13649,777

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, 5, 13, 649777

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 13 x 649,777 = 422,355,050

This can also be written as 21 x 52 x 131 x 649,7771 = 422,355,050

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


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