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Apply the Fundamental Theorem of Arithmetic
Grade Level
CLEP
CLEPCM.015 Apply the Fundamental Theorem of Arithmetic
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Which statement is a valid use of unique prime factorization for 2
2
* 3
5
* 7
2
and 2
2
* 3
4
* 5 * 7
2
?
A
They are the same because both have four prime bases when exponents are counted.
B
They are different because the second has a factor of 5 and one fewer factor of 3.
C
They are the same because 3
5
equals 3
4
* 5.
D
They cannot be compared because the primes are not in the same order.
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