Q: What are the prime factors of the number 235,412,037?

 A: 3, 7, 41, 91139

Why are those the prime factors of the number 235,412,037?

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 235,412,037

235,412,037
Factor Arrows
378,470,679
Factor Arrows
326,156,893
Factor Arrows
73,736,699
Factor Arrows
4191,139

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, 7, 41, 91139

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 41 x 91,139 = 235,412,037

This can also be written as 32 x 71 x 411 x 91,1391 = 235,412,037

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


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