12 = 2 x 2 x 3
the prime factorization of 12 in exponents is 2 to the second power times 3
the prime facotrization of 154 is 12 times 3 times 5
22 x 3 = 12
22 x 3 = 12
144 is a perfect square, whose square factor is 12: Therefore we simply repeat the prime factorization of 12 (3,2,2) twice: 2,2,2,2,3,3.
2^2*3 = 12 2*3^2 = 18
The term "exponents of 12" can refer to the different ways to express 12 as a power of its prime factors. The prime factorization of 12 is (2^2 \times 3^1). This means that 12 can be expressed with exponents as (2^2) and (3^1). If you mean the powers of 12, they would be 12 raised to various integers, such as (12^1), (12^2), (12^3), and so on.
2.2.3 and
That's the prime factorization of 140.
24=2*12=2*2*6=2*2*2*323*3
Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors. 10 = 2 x 5 = 21 x 51 2 x 2 = 4 10 has four factors. 72 = 23 x 32 4 x 3 = 12 72 has twelve factors. Square numbers can be tricky. The prime factorization of 9 should be written as 32, not 3 x 3. Adding 1 to the 2 gives you 3. 9 has three factors.
2 x 2 x 3 is the prime factorization for 12.