When we talk about factors, we are referring to the numbers that can be evenly divided into a given number without leaving any remainder. In this article, we will be discussing the factors of 10, including its prime factors and pairs of factors.
Understanding Factors of 10
Before we dive into the factors of 10, it is important to understand what factors are. A factor is a whole number that can be multiplied by another whole number to get the original number. For example, the factors of 14 are 1, 2, 7, and 14 because these are the numbers that can be multiplied together to get 14 (1 x 14 = 14, 2 x 7 = 14).
Now, let’s take a look at the factors of 10.
Factors of 10
The factors of 10 are:
- 1
- 2
- 5
- 10
These are the only four numbers that can be multiplied together to get 10 (1 x 10 = 10, 2 x 5 = 10). These are also the only numbers that can evenly divide into 10 without leaving a remainder.
Prime Factors of 10
A prime factor is a factor that is a prime number. A prime number is a number that is only divisible by 1 and itself. The prime factors of 10 are:
- 2
- 5
Both 2 and 5 are prime numbers, which means they are the only numbers that can divide into 10 without leaving a remainder.
Factors of 10 in Pairs
It is also possible to list the factors of 10 in pairs. To do this, we need to find all the possible combinations of two numbers that multiply together to equal 10. These pairs are:
- 1 and 10
- 2 and 5
These are the only two pairs of numbers that can be multiplied together to get 10. It is important to note that the order of the pairs does not matter (i.e., 1 and 10 is the same as 10 and 1).
Conclusion
In conclusion, the factors of 10 are 1, 2, 5, and 10. The prime factors of 10 are 2 and 5. When listing the factors in pairs, there are only two possible pairs: 1 and 10 or 2 and 5.
FAQs
- What is a factor? A factor is a whole number that can be multiplied by another whole number to get the original number.
- How do you find the factors of a number? To find the factors of a number, you need to list all the whole numbers that can be multiplied together to get the original number.
- What are the prime factors of 10? The prime factors of 10 are 2 and 5.
- How many pairs of factors does 10 have? There are only two pairs of factors that can be multiplied together to get 10: 1 and 10, and 2 and 5.
- Can a number have more than two prime factors? Yes, a number can have more than two prime factors. For example, the number 12 has three prime factors: 2, 2, and 3.