Q: What are the prime factors of the number 35,322,237?

 A: 3, 31, 521

Why are those the prime factors of the number 35,322,237?

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 35,322,237

35,322,237
Factor Arrows
311,774,079
Factor Arrows
33,924,693
Factor Arrows
31,308,231
Factor Arrows
3436,077
Factor Arrows
3145,359
Factor Arrows
348,453
Factor Arrows
316,151
Factor Arrows
31521

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:

3, 31, 521

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 31 x 521 = 35,322,237

This can also be written as 37 x 311 x 5211 = 35,322,237

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


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