Q: What are the prime factors of the number 241,314,420?

 A: 2, 3, 5, 4021907

Why are those the prime factors of the number 241,314,420?

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 241,314,420

241,314,420
Factor Arrows
2120,657,210
Factor Arrows
260,328,605
Factor Arrows
320,109,535
Factor Arrows
54,021,907

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, 3, 5, 4021907

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 4,021,907 = 241,314,420

This can also be written as 22 x 31 x 51 x 4,021,9071 = 241,314,420

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


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