Q: What are the prime factors of the number 233,477,408?

 A: 2, 151, 211, 229

Why are those the prime factors of the number 233,477,408?

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 233,477,408

233,477,408
Factor Arrows
2116,738,704
Factor Arrows
258,369,352
Factor Arrows
229,184,676
Factor Arrows
214,592,338
Factor Arrows
27,296,169
Factor Arrows
15148,319
Factor Arrows
211229

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, 151, 211, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 151 x 211 x 229 = 233,477,408

This can also be written as 25 x 1511 x 2111 x 2291 = 233,477,408

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


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