Q: What are the prime factors of the number 245,222,420?

 A: 2, 5, 181, 67741

Why are those the prime factors of the number 245,222,420?

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 245,222,420

245,222,420
Factor Arrows
2122,611,210
Factor Arrows
261,305,605
Factor Arrows
512,261,121
Factor Arrows
18167,741

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, 181, 67741

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 181 x 67,741 = 245,222,420

This can also be written as 22 x 51 x 1811 x 67,7411 = 245,222,420

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


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