Which of the following shows the prime factoriztion of 250 using exponents?
A.2x 5 3
B.2 5x 5 5
C.5 2x 10
D.5 2x 2 5
A?
The number after the space is the exponent.
It's right because 5x5x5=125 and 125x2=250
♫♫Colton♫♫ -- You can show exponents by using the caret ^. Also -- * means multiply.
Example:
2 * 5^3
To determine the prime factorization of 250, we need to break down the number into its prime factors. Prime factors are prime numbers that multiply together to give the original number.
To find the prime factorization of 250, we start by finding the smallest prime number that divides evenly into it. In this case, 2 is the smallest prime number that divides evenly into 250.
So, we divide 250 by 2, resulting in 125. 125 is not divisible by 2, so we move on to the next smallest prime number, which is 5.
Now, we divide 125 by 5, resulting in 25. Again, 25 is divisible by 5, so we divide it by 5 to get 5.
Finally, we divide 5 by 5, resulting in 1. At this point, we stop because we have reached 1, which means we have found all the prime factors.
To express the prime factorization using exponents, we group the prime factors together using multiplication. In this case, we have 2, 5, and 5 as the prime factors of 250.
A. 2 * 5 * 5 = 50 (not the correct answer)
B. 2^1 * 5^3 = 2 * 5 * 5 * 5 = 250 (not the correct answer)
C. 5^2 * 10 = 5 * 5 * 10 = 250 (not the correct answer)
D. 5^2 * 2^1 * 2 * 5 = 2 * 5 * 5 * 5 = 250 (the correct answer)
Therefore, the correct answer is option D, where the prime factorization of 250 using exponents is 5^2 * 2^1 * 2 * 5.