What number could go into 6 and 16? This is a common question in mathematics, especially when dealing with factors and multiples. The answer to this question lies in finding the common factors of both numbers, which are the numbers that can divide both 6 and 16 without leaving a remainder.
In order to determine the common factors of 6 and 16, we need to first list the factors of each number. The factors of a number are the numbers that divide evenly into it. For 6, the factors are 1, 2, 3, and 6. For 16, the factors are 1, 2, 4, 8, and 16. Now, we can identify the common factors by looking for numbers that appear in both lists. In this case, the common factors of 6 and 16 are 1 and 2.
The number 1 is a factor of every number, so it is always a common factor. However, the number 2 is the only other common factor of 6 and 16. This means that 2 is the only number that can go into both 6 and 16 without leaving a remainder. Therefore, the answer to the question “What number could go into 6 and 16?” is 2.
Understanding the concept of common factors is crucial in various mathematical operations, such as simplifying fractions, finding the greatest common divisor (GCD), and solving equations. By identifying the common factors of two numbers, we can gain insights into their relationship and make calculations more manageable.
In conclusion, the number that could go into both 6 and 16 is 2. This demonstrates the importance of recognizing common factors in mathematics and highlights the significance of factors in various mathematical applications.
