WRITE THE NUMBER 99 AS A PRODUCT OF PRIME FACTORS
99 = 3x3x11
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99 = 3 * 3 * 11
3x3x11
3 X 3 X 11(have a nice day,love you all so much.)
To write the number 99 as a product of prime factors, you need to find the prime numbers that multiply together to give 99. Here's how you can do it:
Step 1: Start by finding the smallest prime number that divides 99. The smallest prime number is 3, and it divides 99 without leaving a remainder. Therefore, we can say that 99 is divisible by 3.
Step 2: Divide 99 by 3: 99 ÷ 3 = 33. Now, we focus on the quotient, which is 33.
Step 3: Repeat the process. Find the smallest prime number that divides 33. The smallest prime number that divides 33 is also 3. Therefore, we can say that 33 is divisible by 3.
Step 4: Divide 33 by 3: 33 ÷ 3 = 11. Now, we focus on the quotient, which is 11.
Step 5: Repeat the process again. Find the smallest prime number that divides 11. The smallest prime number that divides 11 is itself, as 11 is a prime number.
Step 6: Divide 11 by 11: 11 ÷ 11 = 1.
Step 7: The result is 1. Since we cannot divide 1 by any prime number other than itself, we stop here.
Now, let's combine the prime factors: 99 = 3 × 3 × 11.
Therefore, the prime factorization of 99 is 3 × 3 × 11.