58 = 2 x 29. No prime power exists since there are no duplicate prime numbers in the prime factorization.
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No. 7 is not a factor of 58. The prime factors of 58 are 2 and 29.
The prime factorization of 144 is 2^4 * 3^2. The prime factor is 2 and the exponent is 4.
Assume this problem deals with multiples of the numbers. The objective is vague, but I'm pretty sure of what is asked here.If we want to find the gcd of these terms, factor out each term and select the prime factor with the least exponent. Finally, evaluate the product of all prime factors. For instance:12 = 3 x 2²= 2² x 30 x 11044 = 11 x 2²= 2² x 30 x 112² has the least exponent for prime factor 2 of all these factorizations.30 has the least exponent for prime factor 3.110 has the least exponent for prime factor 11.The rest of other "invisible" prime factors, like 5 and 7, have the least exponent, which is 0!Therefore, the gcd is 2² = 4!
In a prime factorization, exponents are a form of shorthand.2 x 2 x 2 x 3 x 3 x 3 is the prime factorization of 216.That can be written as 23 x 33
The exponent indicates the number of times the base is used as a factor.