Question

2.2
score: 1/14 1/14 answered
question 2
factor 400 into a product of its primes.
enter your answer as a product of primes raised to a power (example: for 12, enter 2^2*3).
question help: video message instructor

Explanation:

Step1: Divide by smallest prime (2)

$400 = 2 \times 200$

Step2: Divide 200 by 2 again

$200 = 2 \times 100$, so $400 = 2^2 \times 100$

Step3: Divide 100 by 2 again

$100 = 2 \times 50$, so $400 = 2^3 \times 50$

Step4: Divide 50 by 2 again

$50 = 2 \times 25$, so $400 = 2^4 \times 25$

Step5: Divide 25 by smallest prime (5)

$25 = 5 \times 5 = 5^2$, so $400 = 2^4 \times 5^2$

Answer:

$2^4 \times 5^2$