Explain the terms 'factors' and 'product' in multiplication. Also, verify if the product of two 2-digit numbers can be a 3-digit or a 4-digit number, and provide examples.

Here are the answers to all the questions on the page. Question 1: The state that includes the two numbers multiplied (factors) and their product is called a multiplication relationship. The numbers multiplied are the factors, and the result is the product. The relationship is that the product is a multiple of each of its factors. This means the product can be divided evenly by each of its factors. Question 2: Mamata says that the product of two 2-digit numbers can be a 3-digit or a 4-digit number. Let's check: The smallest 2-digit number is 10. The largest 2-digit number is 99. The smallest possible product of two 2-digit numbers is 10 × 10 = 100, which is a 3-digit number. The largest possible product of two 2-digit numbers is 99 × 99 = 9801, which is a 4-digit number. Therefore, Mamata's statement is ✅ Correct. Question 3: Mamata's statement is ✅ Correct. Examples for two 2-digit numbers: • For a 3-digit product: 10 × 10 = 100 12 × 15 = 180 • For a 4-digit product: 25 × 40 = 1000 99 × 99 = 9801 Question 4: If a 2-digit number is multiplied by a 3-digit number, let's find the range of the product. Smallest 2-digit number: 10 Largest 2-digit number: 99 Smallest 3-digit number: 100 Largest 3-digit number: 999 Smallest possible product: 10 × 100 = 1000 (a 4-digit number) Largest possible product: $9