Q: What are the prime factors of the number 264,471,424?

 A: 2, 7, 149, 283

Why are those the prime factors of the number 264,471,424?

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 264,471,424

264,471,424
Factor Arrows
2132,235,712
Factor Arrows
266,117,856
Factor Arrows
233,058,928
Factor Arrows
216,529,464
Factor Arrows
28,264,732
Factor Arrows
24,132,366
Factor Arrows
22,066,183
Factor Arrows
7295,169
Factor Arrows
742,167
Factor Arrows
149283

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, 7, 149, 283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 149 x 283 = 264,471,424

This can also be written as 27 x 72 x 1491 x 2831 = 264,471,424

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


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