Q: What are the prime factors of the number 465,540,016?

 A: 2, 29, 43, 23333

Why are those the prime factors of the number 465,540,016?

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 465,540,016

465,540,016
Factor Arrows
2232,770,008
Factor Arrows
2116,385,004
Factor Arrows
258,192,502
Factor Arrows
229,096,251
Factor Arrows
291,003,319
Factor Arrows
4323,333

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, 29, 43, 23333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 29 x 43 x 23,333 = 465,540,016

This can also be written as 24 x 291 x 431 x 23,3331 = 465,540,016

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


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