What times what equals 54
The Correct Answer and Explanation is :
To find two numbers that multiply together to equal 54, we can explore the factor pairs of 54. The integer factor pairs of 54 are:
- 1 and 54 (1 × 54 = 54)
- 2 and 27 (2 × 27 = 54)
- 3 and 18 (3 × 18 = 54)
- 6 and 9 (6 × 9 = 54)
Thus, several pairs of numbers can be used to reach the product of 54.
Explanation:
Multiplication is one of the four basic arithmetic operations and can be thought of as repeated addition. When we say that two numbers multiply to give a product, we are essentially saying that we can group one number (the multiplier) into equal parts as many times as the other number (the multiplicand) indicates.
In the case of 54, when we look at its factors, we identify numbers that can be multiplied together to achieve this product. For example, the pair (6, 9) means that if we take 6 and add it to itself nine times (or vice versa), we will get 54.
Understanding multiplication through factor pairs is crucial in various mathematical applications, including solving equations, simplifying fractions, and finding the greatest common divisors. Factor pairs are particularly useful when dealing with larger numbers, as they can help us break down complex problems into simpler components.
Additionally, recognizing prime factorization can provide further insight. The prime factorization of 54 is 2 × 3 × 3 × 3 (or 2 × 3³). This breakdown showcases how the basic building blocks of numbers can come together to form a larger number, reinforcing the idea that every integer greater than one can be expressed as a product of prime factors.
In conclusion, the factors of 54—(1, 54), (2, 27), (3, 18), and (6, 9)—demonstrate the multiplicative relationships that can exist between integers, providing a clear pathway to understanding multiplication and its applications in mathematics.