What number could go into 10 and 40? This question is a classic example of finding the common factors of two numbers. In mathematics, a factor is a number that divides evenly into another number without leaving a remainder. So, when we ask what number could go into both 10 and 40, we are essentially looking for the factors that are shared by these two numbers.
The factors of a number are the numbers that can divide it without leaving a remainder. For instance, the factors of 10 are 1, 2, 5, and 10, while the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. To find the common factors of 10 and 40, we need to identify the numbers that appear in both lists.
In this case, the common factors of 10 and 40 are 1, 2, and 5. This is because these numbers can divide both 10 and 40 without leaving a remainder. For example, 1 divides into both 10 and 40 evenly, 2 divides into 10 evenly (5 times) and into 40 evenly (20 times), and 5 divides into 10 evenly (2 times) and into 40 evenly (8 times).
Understanding the common factors of numbers is essential in various mathematical operations and real-life applications. For instance, when simplifying fractions, finding the common factors helps in reducing the fraction to its simplest form. Additionally, in geometry, understanding the factors of shapes’ dimensions is crucial for calculating their area and perimeter.
In conclusion, the numbers that could go into both 10 and 40 are 1, 2, and 5. These common factors are the building blocks for many mathematical concepts and real-life applications. By exploring the factors of numbers, we can develop a deeper understanding of mathematics and its relevance in our daily lives.
