Q: What are the prime factors of the number 236,446,600?

 A: 2, 5, 13, 211, 431

Why are those the prime factors of the number 236,446,600?

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 236,446,600

236,446,600
Factor Arrows
2118,223,300
Factor Arrows
259,111,650
Factor Arrows
229,555,825
Factor Arrows
55,911,165
Factor Arrows
51,182,233
Factor Arrows
1390,941
Factor Arrows
211431

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, 5, 13, 211, 431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 13 x 211 x 431 = 236,446,600

This can also be written as 23 x 52 x 131 x 2111 x 4311 = 236,446,600

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


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