Q: What are the prime factors of the number 245,610,544?

 A: 2, 73, 210283

Why are those the prime factors of the number 245,610,544?

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 245,610,544

245,610,544
Factor Arrows
2122,805,272
Factor Arrows
261,402,636
Factor Arrows
230,701,318
Factor Arrows
215,350,659
Factor Arrows
73210,283

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, 73, 210283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 73 x 210,283 = 245,610,544

This can also be written as 24 x 731 x 210,2831 = 245,610,544

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


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