Factors of 10

Factors of 10 are the numbers obtained from dividing the original number 10 completely without leaving the remainder. The factors of 10 are 1, 2, 5, and 10. These numbers can be positive or negative but cannot be in decimal or fraction form. You can help children learn and memorize the factors of 10 creatively. Learning factors of a number enable children to solve mathematical problems with speed and accuracy. 

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Apart from memorizing the factors of 10, kids must learn to find the factors of it using simple methods. Also, you can help them learn about the pair and prime factors of 10. The pair factors of 10 are (1, 10) and (2, 5), whereas the prime factors of 10 are 2 x 5. The best way to teach them mathematical concepts is to conduct math games for kids. These games develop interest among children to practice math problems efficiently. 

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What are the Factors of 10?

Factors of 10 are the numbers that divide the original number 10 without leaving the remainder. Though the original number is a composite number, it has two factors other than one and the number itself. The factors of 10 are 1, 2, 5, and 10. These numbers are the whole numbers. To find out the pair and prime factors of 10, you can use the multiplication and division methods. The pair factors of 10 are (1, 10), (2, 5), whereas the negative pair factors of 10 are (-1, -10) and (2, 5). Kids must get acquainted with table of 10 to calculate the factors of 10 easily. 

Learning multiplication tables helps kids solve multiplication and division problems easily. Therefore, it is essential for kids to get acquainted with times tables for better learning outcomes. The prime factors of 10 are 2 x 5, where 2 and 5 are prime numbers. The total sum of factors of 10 are 1 + 2 + 5 + 10 = 18. You need to keep in mind that all the factors are less than or equal to the original number. 

How to Find the Factors of 10?

To find the factors of 10, you need to divide the original number evenly with the integers with no remainder. Check out the following method to calculate the factors of 10. 

10/1 = 10

10/2 = 5

10/5 = 2

10/10 = 1

Therefore, the factors of 10 are 1, 2, 5, and 10

Pair Factors of 10

The pair factors of 10 are the numbers obtained when you multiply integers in pairs to get the original number. You can use the multiplication method to calculate the pair factors of 10. These numbers can be positive or negative. Check out the method to find the factors of 10 given below. 

1 x 10 = 10

2 x 5 = 10

5 x 2 = 10

10 x 1 = 10

Therefore, the positive pair factors of 10 are (1, 10) and (2, 5). Similarly, you can find the negative pair factors of 10 using the multiplication method. When you multiply two negative integers together, the result you get is positive. 

-1 x -10 = 10

-2 x -5 = 10

-5 x -2 = 10

-10 x -1 = 10

Therefore, the negative factors of 10 are (-1, -10) and (-2, -5). 

Prime Factors of 10 

To find prime factors of 10, you must divide the original number with the prime numbers until you get the quotient one. Check out the following steps to calculate the prime factors of 10 using the prime factorization method given below. 

Step 1: Divide the original number 10 with the prime number 2

10/2 = 5

Step 2: Since the number 5 is not divisible by the prime number 2, you can take the prime number 5 until you get the quotient one. 

5/5 = 1

Therefore, the prime factors of 10 are 2 x 5. 

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Solved Examples on Factors of 10

Some solved examples on factors of 10 for kids are mentioned below:

Example 1: Find the common factors of 10 and 8.

Solution: Factors of 10 = 1, 2, 5, and 10

Factors of 8 = 1, 2, 4, and 8

Therefore, the common factors of 10 and 8 are 1 and 2. 

Example 2: Sarah got 10 chocolates for her friends. She gave all the chocolates to her 5 friends. How many chocolates did each friend get?

Solution: Number of chocolates = 10 

Number of friends = 5

Total number of chocolates did each friend receive = 10/5 = 2

Therefore, the total number of chocolates received by each friend is 2. 

Example 3: A boy bought 10 pairs of gloves for his friends. He distributed all the pairs of gloves to his 2 friends. How many pairs of gloves did each of them receive?

Solution: Number of pairs of gloves = 10

Number of friends = 2

Total number of pairs of gloves received by each friend = 10/2 = 5

Therefore, the total number of pairs of gloves received by each friend is 5.

Benefits of Learning Factors of 10 

The benefits of learning factors of 10 for kids are mentioned below. 

  • It helps children solve mathematical problems easily. 
  • It develops mathematical skills in children. 
  • It helps children understand mathematical concepts effectively.
  • It increases children’s academic performance. 
  • It improves children’s speed and accuracy while solving mathematical problems.
  • It helps children identify problems and come up with solutions. 
  • It improves arithmetic concepts in children. 
  • It helps children make fast and accurate calculations in academics and real-life situations. 

We hope this article on factors of 10 was useful to you. For more about activities, worksheets and games, explore worksheets for kids, math for kidspuzzles for kids, kids learning sections at Osmo. 

Frequently Asked Questions on Factors of 10

What are the factors of 10?

The factors of 10 are 1, 2, 5, and 10.

What are the pair factors of 10?

The pair factors of 10 are (1, 10) and (2, 5), whereas the negative pair factors of 10 are  (-1, -10) and (-2, -5).

What are the prime factors of 10?

The prime factors of 10 are 2 x 5.

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