Express the prime factorization of 54 as a product of prime numbers with exponents.(1 point)
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(2^1)(3^3)
Choose One
To express the prime factorization of the number 54, we need to find its prime factors. Prime numbers are numbers that only have two factors: 1 and itself.
To find the prime factors of 54, we can start by dividing it by the smallest prime number, which is 2. If 54 can be divided evenly by 2, then 2 is a factor of 54. Dividing 54 by 2 gives us 27.
Next, we divide 27 by 2, but it is not divisible by 2 evenly. We then move on to the next prime number, which is 3. Dividing 27 by 3, we get 9.
After that, we divide 9 by 3, which gives us 3. Finally, we divide 3 by 3, and it gives us 1.
Now, let's combine all the factors that we obtained during the division: 2, 3, 3, and 3. We express this as a product of prime numbers with exponents:
54 = 2 * 3 * 3 * 3
Therefore, the prime factorization of 54 is 2^1 * 3^3.