Q: What are the prime factors of the number 151,236,768?

 A: 2, 3, 151, 10433

Why are those the prime factors of the number 151,236,768?

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 151,236,768

151,236,768
Factor Arrows
275,618,384
Factor Arrows
237,809,192
Factor Arrows
218,904,596
Factor Arrows
29,452,298
Factor Arrows
24,726,149
Factor Arrows
31,575,383
Factor Arrows
15110,433

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, 151, 10433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 151 x 10,433 = 151,236,768

This can also be written as 25 x 31 x 1511 x 10,4331 = 151,236,768

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


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