Factors of 42

What are the factors of 42? These are the numbers that divide the original number 42 completely without leaving the remainder. Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. These numbers can be positive or negative but not fractions or decimal numbers. Kids must learn to recognize and memorize factors of 42 for effective calculation practices. To help them with memorizing factors of a number, you can conduct math games for kids. These games help them concentrate on learning numbers and retain them in their memory for a longer period of time.

Contents 

If you are looking for easy steps to calculate the factors of 42? We are here to help you in teaching how to find the factors of 42. Kids can learn prime and pair factors of 42 to solve multiplication-related problems quickly. Besides recognizing factors of 42, kids must learn to find the factors using division and multiplication methods. Also, they must learn to differentiate between prime and pair factors of 42. You can encourage them to participate in math activities to understand the concept using real-life examples. 

Check math-related articles:

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What are the Factors of 42?

Factors of 42 are the numbers that divide the original number 42 completely without leaving the remainder. These factors can be positive or negative numbers. Factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The pair factors of 42 consist of positive and negative numbers. The positive pair factors of 42 are (1, 42), (2, 21), (3, 14), and (6, 7) whereas the negative pair factors of 42 are (-1, -42), (-2, -21), (-3, -14), and (-6, -7). Besides this, kids must learn that the product is positive when two negative numbers multiply together. You can calculate pair factors using the multiplication method. The prime factors of 42 are 2 x 3 x 7, where 2, 3, and 7 are prime numbers. You can find the prime factors of 42 using the division method. The total sum of factors of 42 are 1 + 2 + 3 + 6 + 7 + 14 + 21 + 42 = 96. 

How to Find the Factors of 42?

Kids must get acquainted with tables 1 to 50 to solve multiplication-related problems easily. To find the factors of 42, you need to divide the original number with the integers without getting the remainder. Check the following division method to find the factors of 42.  

42/1 = 42

42/ 2 = 21

42/3 = 14

42/6 = 7

42/7 = 6

42/14 = 3

42/21 = 2

42/42 = 1

Therefore, the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. 

Pair Factors of 42

When you multiply two factors, you obtain the original number 42. The pair of numbers multiplied to get the original number is called pair factors. The pair factors can be positive or negative numbers. Let us dive into the method to calculate the pair factors of 42 given below. 

1 x 42 = 42

2 x 21 = 42

3 x 14 = 42

6 x 7 = 42

7 x 6 = 42

14 x 3 = 42

21 x 2 = 42

42 x 1 = 42

Therefore, the pair factors of 42 are (1, 42), (2, 21), (3, 14), and (6, 7). The negative pair factors of 24 can be calculated by the multiplication method given below. 

-1 x -42 = 42

-2 x -21 = 42

-3 x -14 = 42

-6 x -7 = 42

-7 x -6 = 42

-14 x -3 = 42

-21 x -2 = 42

-42 x -1 = 42

Therefore, the negative pair factors of 42 are (-1, -42), (-2, -21), (-3, -14), and (-6, -7). 

Prime Factors of 42 

The prime factors of 42 are obtained by dividing the original number with the least prime number 2 without leaving the remainder. The product is then divided by the following least prime number 3 until you get the quotient one. Let us check the division method to find the prime factors of 42 given below. 

Step 1: Divide the original number 42 with the least prime number 2. 

42/2 = 21

Step 2: Divide the product 21 with the prime number. 

21/2 = 10.5

Step 3: Since the number 21 is not divisible by prime number 2, you can divide the product with the prime number 3 

21/3 = 7

Step 4: Divide the number 7 with prime number 3

7/3 = 2.3

Step 5: Since the number 7 is not divisible by prime 3, you can divide the product to get a quotient one. 

7/7 = 1

Therefore, the prime factors of 42 are 2 x 3 x 7. 

Check factors-related articles 

Factors of 24 Factors of 18 

Solved Examples on Factors of 42

Some solved examples on factors of 42 for kids are mentioned below:

Example 1: Find the common factors of 42.

Solution: Factors of 30 = 1, 2, 3, 5, 6, 10, 15, and 30. 

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42. 

Therefore, the common factors of 42 and 30 are 1, 2, 3 and 6. 

Example 2: A girl bought 42 pairs of earrings for her friends. She gave all the pairs of earrings to her 7 friends. How many pairs of earrings did each friend receive?

Solution: Number of pairs of earrings = 42

Number of friends = 7 

Total number of pairs of earrings received by each friend = 42/7 = 6 

Therefore, the total number of pairs of earrings received by each friend is 6.

Check multiplication tables related articles

Multiplication Table 1 to 20Multiplication Tables 1 to 10
Tables 11 to 20Tables 41 to 50 

Benefits of Learning Factors of 42 

The benefits of learning factors of 42 for children are mentioned below.

  • It helps kids to understand arithmetic operations and other mathematical concepts easily. 
  • It enables kids to solve mathematical problems accurately. 
  • It improves speed, accuracy and time management while solving mathematical problems. 
  • It develops mathematical skills in children. 
  • It boosts their confidence to practice mathematics for better academic performance. 

We hope this article on factors of 42 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 42

What are the factors of 42?

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

What are the pair factors of 42?

The pair factors of 42 are (1, 42), (2, 21), (3, 14), and (6, 7)

What are the prime factors of 42?

The prime factors of 42 are 2 x 3 x 7.

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