Answer:
Step-by-step explanation:
To find the prime factorization of 1000, we can break it down step by step.
First, let's divide 1000 by the smallest prime number, which is 2:
1000 ÷ 2 = 500
500 is still even, so we can divide by 2 again:
500 ÷ 2 = 250
250 is still even, so we can divide by 2 again:
250 ÷ 2 = 125
Now, 125 is not divisible by 2, so we try the next prime number, which is 3. But 125 is not divisible by 3 either. So, let's try 5:
125 ÷ 5 = 25
Now, 25 is still not prime. We can try dividing by 5 again:
25 ÷ 5 = 5
Now we've reached a prime number. So, the prime factorization of 1000 is:
1000 = 2^3 × 5³
