22 x 3 = 12
22 X 31
12 is a composite number, not a prime factor.
12 = 2 x 2 x 3Alternatively, using power notation:12 = 22 x 32 x 2 x 3 = 12
12 is a composite number that is a multiple of 2. 12 is not a prime number.
That's the prime factorization of 140.
22 X 31
It is: 22*5 = 20
22 x 11 = 44
5^2 7^1
The prime power representation of 110 can be expressed by factoring it into its prime components. The prime factorization of 110 is (2^1 \times 5^1 \times 11^1). This means that 110 can be represented as a product of the primes 2, 5, and 11, each raised to the power of 1.
3^2 x 11^1
It is: 2 to the power of 12 = 4096
The prime factorization of 668 is 2 x 2 x 167 or 22 x 167 in exponential form.
Digits that are powers of primes are 22 = 4, 23 = 8, and 32 = 9. So, the possible ages now are 44, 48, 49, 84, 88, 89, 94, 98, and 99. Twelve years ago you were a power of a prime, so subtract 12 from each of the numbers and look at them. Powers of primes include 22=4, 23=8, 24=16, 25=32, 26=64, 32=9, 33=27, 34=81, 52=25, and 72=49. 44-12=32, a power of 2 48-12=36, not a power of a prime 49-12=37, not a power of a prime 84-12=72, not a power of a prime 88-12=76, not a power of a prime 89-12=77, not a power of a prime 94-12=82, not a power of a prime 98-12=86, not a power of a prime 99-12=87, not a power of a prime So, 44 fits this part of the question. We could have started with the other part of the question, first. So, if "one year ago you were in your prime" means that it was a prime number, the power of a prime which was 12 years ago should produce a prime number when 11 is added to it. 4+11=15, not a prime 8+11=19, a prime 16+11=27, not a prime 32+11=43, a prime 64+11=75, not a prime 9+11=20, not a prime 27+11=38, not a prime 81+11=92, not a prime 25+11=36, not a prime 49+11=60, not a prime So, the possibilities for one year ago are 19 and 43, meaning the current age is either 20 or 44. The only number that fits the specifications is 44.
It is: 2 to the power of 12 = 4096
4554 = 2 * 11 * 23 * 3 * 3 = 2 * 11 * 23 * 32
the prime factorization of 12 in exponents is 2 to the second power times 3