Q: What are the prime factors of the number 41,035,350?

 A: 2, 3, 5, 273569

Why are those the prime factors of the number 41,035,350?

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 41,035,350

41,035,350
Factor Arrows
220,517,675
Factor Arrows
36,839,225
Factor Arrows
51,367,845
Factor Arrows
5273,569

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, 273569

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 273,569 = 41,035,350

This can also be written as 21 x 31 x 52 x 273,5691 = 41,035,350

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


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