Factors of 6

Factors of 6 are the numbers obtained when you divide the original number 6 evenly without leaving the remainder. Though the number 6 is a composite number, it has two factors other than one and the number itself. Factors of 6 are 1, 2, 3, and 6. Learning factors of numbers helps kids to solve mathematical problems easily.

Contents

What are the Factors of 6?
How to Find the Factors of 6?
Solved Examples on Factors of 6
Frequently Asked Questions on Factors of 6

When two integers are multiplied together, the result you get is the original number called pair factors. The pair factors of 6 are (1, 6) and (2, 3). Moreover, there are also negative factors of 6 that are (-1, -6) and (-2, -3). You can teach kids to find the pair and prime factors of 6 using simple methods. It would be best if you could conduct math games for kids to engage them in learning factors of 6 while having fun.

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What are the Factors of 6?

Factors of 6 are the numbers obtained when you divide the original number 6 with the integer without leaving the remainder. You can calculate the factors of 6 using the division method. Factors of 6 are 1, 2, 3, and 6. The pair factors of 6 are (1, 6) and (2, 3), whereas the negative pair factors of 6 are (-1, -6) and (-2, -3). These factors of numbers can be positive or negative but not in decimal or fraction form. The prime factors of 6 are 2 x 3, where 2 and 3 are the prime numbers. The total sum of factors of 6 is 1 + 2 + 3 + 6 = 12.

How to Find the Factors of 6?

To calculate the factors of 6, you can divide the original number with the integers completely to get the factors of numbers without leaving the remainder. Check out the division methods to find the factors of 6 given below.

6/1 = 6

6/2 = 3

6/3 = 2

6/6 = 1

Therefore, the factors of 6 are 1, 2, 3, and 6.

Pair Factors of 6

To calculate the pair factors of 6, you need to multiply the integers in pairs to get the original number. The pair factors of 6 can be positive or negative numbers. Kids can learn the 6 times table to calculate the factors of 6 using the multiplication methods given below.

1 x 6 = 6

2 x 3 = 6

3 x 2 = 6

6 x 1 = 6

Therefore, the pair factors of 6 are (1, 6) and (2, 3). Similarly, the negative pair factors of 6 are obtained when negative integers are multiplied in pairs to get the positive number.

-1 x -6 = 6

-2 x -3 = 6

-3 x -2 = 6

-6 x -1 = 6

Therefore, the negative factors of 6 are (-1, -6) and (-2, -3).

Prime Factors of 6

To calculate the prime factors of 6, you must divide the original number with the prime numbers using the prime factorization method given below.

Step 1: Divide the original number 6 with the smallest prime number 2.

6/2 = 3

Step 2: Then, divide the number 3 with the prime number 3 to get the quotient one.

3/3/ = 1

Therefore, the prime factors of 3 are 2 x 3.

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Solved Examples on Factors of 6

Some solved examples on factors of 6 are mentioned below.

Example 1: Find the common factors of 6 and 5.

Solution: Factors of 6 = 1, 2, 3 and 6

Factors of 5 = 1 and 5

Therefore, the common factors of 6 and 5 are 1.

Example 2: Sam bought 6 pairs of socks for the children living in the neighborhood. He gave all the 6 pairs of socks to 3 children living in the neighborhood. How many pairs of socks did each child receive?

Solution: Number of pairs of socks = 6

Number of children = 3

Total number of pairs of socks received by each child = 6/2 = 3

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

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