Two factors that make a product are sometimes called a factor pair . Describe how using factors pairs helped you solve the problems.
What problems? I have no idea what helped you solve these unknown problems.
Using factor pairs can be helpful in solving problems that involve finding factors of a given number or representing a product as a combination of two numbers. Let's take a look at an example to understand how factor pairs can be used:
Problem: Find the factor pairs of the number 12.
Solution: To find the factor pairs of 12, we need to determine two numbers that, when multiplied together, give us the product of 12. We can start by listing all possible pairs of factors:
1 × 12 = 12
2 × 6 = 12
3 × 4 = 12
In this case, the factor pairs of 12 are (1, 12), (2, 6), and (3, 4).
Using factor pairs can be helpful in various ways:
1. Finding factors: By listing all possible factor pairs, we can easily identify all the factors of a given number. In this example, we were able to identify that 1, 2, 3, 4, 6, and 12 are the factors of 12.
2. Prime factorization: Factor pairs can also help in finding the prime factorization of a number. By repeatedly dividing a number by its smallest prime factor, we can express it as a product of prime factors. For example, using the factor pairs of 12, we can determine that 12 can be expressed as 2 × 2 × 3, which is the prime factorization of 12.
3. Representing a product: Factor pairs can be useful in representing a product as a combination of two numbers. In this example, we found that 12 can be represented as a product of 2 and 6, or 3 and 4. This representation can be helpful in various mathematical operations or when solving equations.
In conclusion, using factor pairs can assist in finding factors, determining the prime factorization, and representing a product as a combination of two numbers. It is a useful strategy when dealing with problems related to factors and products.