Q: What are the prime factors of the number 245,070,444?

 A: 2, 3, 337, 60601

Why are those the prime factors of the number 245,070,444?

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 245,070,444

245,070,444
Factor Arrows
2122,535,222
Factor Arrows
261,267,611
Factor Arrows
320,422,537
Factor Arrows
33760,601

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, 337, 60601

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 337 x 60,601 = 245,070,444

This can also be written as 22 x 31 x 3371 x 60,6011 = 245,070,444

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


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