Factors of 10 are the numbers that can be evenly divided into 10 without leaving a remainder. In other words, factors are the numbers that divide a given number exactly. For the number 10, the factors are 1, 2, 5, and 10. Let’s explore these factors in more detail:

- Factor 1: 1 is the smallest positive integer and is always a factor of any number, including 10. When dividing 10 by 1, the result is 10.
- Factor 2: 2 is the next factor of 10. When dividing 10 by 2, the result is 5. This means that 2 can divide 10 exactly, leaving no remainder.
- Factor 5: 5 is another factor of 10. When dividing 10 by 5, the result is 2. Like 2, 5 can divide 10 evenly.
- Factor 10: The number 10 is divisible by itself, so it is also a factor. Dividing 10 by 10 results in 1.

These four numbers, 1, 2, 5, and 10, are the factors of 10. Factors are important in various mathematical operations and concepts, such as prime factorization, finding common factors, and solving equations involving factors.

**How many Factors of 10**

To determine the total number of factors of 10, we can list them and count how many there are. The factors of 10 are 1, 2, 5, and 10. Thus, there are four factors of 10 in total.

**Factor Pairs of 10**

Factor pairs of 10 are the pairs of numbers that, when multiplied together, yield the number 10. Here are the factor pairs of 10:

- (1, 10): 1 multiplied by 10 equals 10.
- (2, 5): 2 multiplied by 5 equals 10.

These are the two factor pairs of 10.

**All Factors of 10 using Multiplication**

To find all the factors of 10 using multiplication, we can start with the number 1 and multiply it by increasing integers until we reach 10. Here are all the factors of 10 along with their respective multiplication:

1 x 10 = 10

2 x 5 = 10

So, the factors of 10, obtained by multiplication, are 1, 2, 5, and 10.

**FAQs on Factor Pairs of 10**

**Q1: How do you find factor pairs of 10?**To find factor pairs of 10, you need to identify the pairs of numbers that, when multiplied together, give the result of 10. These pairs can be found by starting with 1 and checking for numbers that divide evenly into 10 without leaving a remainder.

**Q2: How many factor pairs does 10 have?**The number 10 has two factor pairs: (1, 10) and (2, 5). These pairs are formed by the numbers that multiply together to give the product of 10.

**Q3: Why are (1, 10) and (2, 5) the only factor pairs of 10?**These pairs are the only factor pairs of 10 because they are the combinations of numbers that, when multiplied, give the result of 10. No other pairs of integers multiply together to yield 10 without leaving a remainder.

**Q4: What is the significance of factor pairs of 10?**Factor pairs are important in various mathematical operations, such as prime factorization, finding common factors, and solving equations involving factors. They help us understand the divisibility properties and relationships between numbers. In the case of 10, knowing the factor pairs can be useful in simplifying fractions, determining the number of factors, or solving problems related to factors and multiples.