Q: What are the prime factors of the number 25,076,230?

 A: 2, 5, 73, 34351

Why are those the prime factors of the number 25,076,230?

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 25,076,230

25,076,230
Factor Arrows
212,538,115
Factor Arrows
52,507,623
Factor Arrows
7334,351

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, 73, 34351

We can check our work by multiplying all of the prime factors together: 2 x 5 x 73 x 34,351 = 25,076,230

This can also be written as 21 x 51 x 731 x 34,3511 = 25,076,230

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


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