Factors of 9

Factors of 9 are the numbers obtained from dividing the original number 9 evenly without leaving the remainder. Though the number 9 is a composite number, it has one factor other than one and the number itself. Factors of 9 are 1, 3, and 9. Kids need to recognize and memorize the factors of 9 for effective calculation practices. Learning factors of a number enable children to solve mathematical problems easily.

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To find the factors of 9, kids need to use division methods systematically. Besides this, kids must learn to find the pair and prime factors of 9 using multiplication and division methods, respectively. The pair factors of 9 are (1, 9) and (3, 3), whereas the negative pair factors are (-1, -9) and (-3, -3). The prime factors of 9 are 3 x 3 = 32. The best way to teach your children factors of 9 is through math activities. This helps them concentrate on learning and develop an interest in practicing mathematical calculations for better learning outcomes. Most importantly, it helps them score good marks in mathematics and other subjects. 

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What are the Factors of 9?

Factors of 9 are the numbers that divide the original number 9 with the integers to get the product without leaving the remainder. The factors of 9 are 1, 3, and 9, where 3 and 9 are the prime numbers. These are also pair factors of 9 obtained when you multiply integers in pairs to get the original number. These can be positive or negative numbers, but not in decimal or fraction form. The positive pair factors of 9 are (1, 9), (3, 3,), whereas the negative numbers pair factors of 9 are (-1, -9) and (-3, -3). You can find these factors using the multiplication method. Besides this, you can find the prime factors of 9 using the prime factorization method. The prime factors of 9 are 3 x 3 = 32. The total sum of factors of 9 are 1 + 3 + 9 = 13. 

How to Find the Factors of 9?

To find the factors of 9, you need to divide the original number 9 with the integers with no remainder using the division method. Kids must learn the 9 times table to calculate the factors of 9 effectively. Check out the following method to find the factors of 9. 

9/1 = 9

9/3 = 3

9/9 = 1

Therefore, the factors of 9 are 1, 3, and 9. 

Pair Factors of 9 

The pair factors of 9 are obtained when you multiply the integers in pairs to get the original number as a product using the multiplication method. These pair factors of 9 can be positive or negative numbers. Check out the following method to find the positive pair factors of 9. 

1 x 9 = 9

3 x 3 = 9

9 x 1 = 9

Therefore, the positive pair factors of 9 are (1, 9) and (3, 3). When two negative integers are multiplied together, the result you get is positive. You can find the negative factors of 9 using the multiplication method given below. 

-1 x -9 = 9

-3 x -3 = 9

-9 x -1 = 9

Therefore, the negative factors of 9 are (-1, -9) and (-3, -3).

Prime Factors of 9 

To find the prime factors of 9, you need to divide the original number with the prime numbers until you get the quotient one at the end. Check out the prime factorization method to calculate the prime factors of 9 given below. 

Step 1: Divide the original number 9 with the prime number 3. Since the least prime number 2 is not divisible by the original number, you can take the prime number 3. 

9/3 = 3

Step 2: Divide the number 3 with the prime number until you get the quotient one. 

3/3 = 1

Therefore, the prime factors of 9 are 3 x 3 = 32

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Solved Examples on Factors of 9 

Some solved examples on factors of 9 for kids are mentioned below. 

Example 1: Find the common factors of 9 and 8. 

Solution: Factors of 9 = 1, 3, and 9

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

Therefore, the common factors of 9 and 8 are 1. 

Example 2: A girl living in the countryside plucked 9 oranges from the tree. She distributed them equally to 3 children staying at home. How many oranges did each child get?

Solution: Number of oranges = 9 

Number of children = 3

Total number of oranges received by each child = 9/3 = 3

Therefore, the total number of oranges received by each child is 3. 

Example 3: Morris purchased 9 pairs of earrings as a gift for his sister on Christmas. He gave all the earrings to his only sister. How many pairs of earrings did she get?

Solution: Number of pairs of earrings = 9

Number of sisters = 1

Total number of pairs of earrings received by his sister = 9/1 = 9

Therefore, the total number of pairs of earrings received by Morris’s sister is 9. 

Benefits of Learning Factors of 9 

The benefits of learning factors of 9 are mentioned below:

  • It develops mathematical skills in children.
  • It helps children to solve mathematical problems quickly and accurately. 
  • It increases children’s confidence to practice more mathematical problems for better academic performance. 
  • It enables children to understand mathematical concepts easily.
  • It improves knowledge of multiplication and division while finding the factors of 9. 
  • It creates interest among children to practice mathematical problems regularly.

We hope this article on factors of 9 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 9

What are the factors of 9?

The factors of 9 are 1, 3, and 9.

What are the pair factors of 9?

The pair factors of 9 are (1, 9) and (3, 3), whereas the negative pair factors of 9 are  (-1, -9) and (-3, -3).

What are the prime factors of 9?

The prime factors of 9 are 3 x 3 = 32.

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