Q: What are the prime factors of the number 415,542,356?

 A: 2, 17, 367, 16651

Why are those the prime factors of the number 415,542,356?

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 415,542,356

415,542,356
Factor Arrows
2207,771,178
Factor Arrows
2103,885,589
Factor Arrows
176,110,917
Factor Arrows
36716,651

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, 17, 367, 16651

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 367 x 16,651 = 415,542,356

This can also be written as 22 x 171 x 3671 x 16,6511 = 415,542,356

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


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