Factors of 27

Q: What are the prime factors of 27?

The prime factors of 27 are 3 x 3 x 3 = 33.

Factors of 27 are the numbers that divide the original number 27 evenly without leaving the remainder. These numbers can be positive or negative but not in decimal or fraction form. Factors of 27 are 1, 2, 9, and 27. It is essential for kids to recognize and memorize the factors of a number for effective calculation practices. Kids must learn factors of 27 to enhance their mathematical knowledge for better learning outcomes.

Contents

What are the Factors of 27?
How to Find the Factors of 27?
Solved Examples on Factors of 27
Frequently Asked Questions on Factors of 27

How do you teach kids to calculate the factors of 27? You need to conduct interesting activities for them to concentrate on learning the methods to find the factors of 27. Besides, conducting these math activities develops interest among the children to learn. Kids must learn the pair and prime factors of 27 to understand the concept of factors of a number effectively. The pair factors of 27 are (1, 27) and (3, 9), and the prime factors of 27 are 3 x 3 x 3 = 3³.

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What are the Factors of 27?

Factors of 27 are the numbers obtained when you divide the original number 27 without leaving the remainder. Though the number 27 is composite, it has two factors other than one and the number itself. Therefore, the factors of 27 are 1, 3, 9, and 27. You can teach kids to find the factors of 27 using the division method. Similarly, kids can calculate the pair and prime factors of 27 using the multiplication and division methods. The pair factors of 27 can be positive or negative numbers. The positive pair factors of 27 are (1, 27) and (3, 9), whereas the negative pair factors of 27 are (-1, -27) and (-3, -9). The prime factors of 27 are 3 x 3 x 3 = 3³, where 3 is the prime number. Kids can practice learning factors of a number regularly to attain mastery of the concept. The total sum of factors of 27 are 1 + 3 + 9 + 27 = 40.

How to Find the Factors of 27?

To find the factors of 27, you must divide the original number 27 with integers completely with zero remainders. Check out the division method to calculate the factors of 27 as given below.

27/1 = 27

27/3 = 9

27/9 = 3

27/27 = 1

Therefore, factors of 27 are 1, 3, 9, and 27.

Pair Factors of 27

To find the pair factors of 27, you must multiply the integers in pairs to get the original number. These numbers can be positive or negative. Check out the multiplication method to calculate the pair factors of 27 as given below.

1 x 27 = 27

3 x 9 = 27

9 x 3 = 27

27 x 1 = 27

Therefore, the positive pair factors of 27 are (1, 27) and (3, 9). Similarly, you can calculate the negative pair factors of 27. When you multiply two negative factors together, you get a positive result.

-1 x -27 = 27

-3 x -9 = 27

-9 x -3 = 27

-27 x -1 = 27

Therefore, the negative factors of 27 are (-1, -27) and (-3, -9).

Prime Factors of 27

To find the prime factors of 27, you need to divide the original number 27 with the prime numbers to get the quotient one. Check out the prime factorization method to calculate the prime factors of 27 given below.

Step 1: Divide the original number 27 with the prime number 3 since it is not divisible by the least prime number 2.

27/3 = 9

Step 2: Again, divide the number 9 with the prime number 3.

9/3 = 3

Step 3: Finally, divide the original number with the prime number 3 to get the quotient one.

3/3 = 1

Therefore, the prime factors of 27 are 3 x 3 x 3 = 3³.

Check Factors Related Articles

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Solved Examples on Factors of 27

Some solved examples on factors of 27 are mentioned below.

Example 1: Find the common factors of 27 and 9.

Solution: Factors of 27 = 1, 3, 9, and 27

Factors of 9 = 1, 3, and 9

Therefore, the common factors of 27 and 9 are 1, 3, and 9.

Example 2: A teacher purchased 27 coloring books for her students. She distributed equally to 9 students in the classroom. How many coloring books did each student receive?

Solution: Number of coloring books = 27

Number of students = 9

Total number of coloring books received by each student = 27/9 = 3

Therefore, the total number of coloring books received by each student is 3.

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