Answer :

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