Q: What are the prime factors of the number 236,003,376?

 A: 2, 3, 7, 702391

Why are those the prime factors of the number 236,003,376?

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 236,003,376

236,003,376
Factor Arrows
2118,001,688
Factor Arrows
259,000,844
Factor Arrows
229,500,422
Factor Arrows
214,750,211
Factor Arrows
34,916,737
Factor Arrows
7702,391

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, 7, 702391

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 702,391 = 236,003,376

This can also be written as 24 x 31 x 71 x 702,3911 = 236,003,376

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


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