Factors of 30; Pair, Prime Factors, Know how to find?
Pair and Prime Factors of 30
Factors of 30 are the numbers that divide the original number 30 completely without leaving the remainder. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. You can find factors of 30 as positive and negative numbers. Little ones are introduced to factors of 30 in elementary school. Learning factors of a number helps them understand the concepts of arithmetic operations easily and learn to solve math problems with speed and accuracy. However, conducting math games for kids enhances their understanding abilities and helps them recall the factors of 30 for practical learning experiences.
The number 30 is a composite number and has several factors other than one and the number itself. Besides learning about factors of 30, kids must learn to find the prime and pair factor numbers for effective calculation practices. The pair factors of 30 are (1, 30), (2, 15), (3, 10), and (5, 6), whereas the prime factors of 30 are 2 x 3 x 5. To make learning fun, you can conduct math activities for kids in a creative way. These activities help them understand the concept better and retain the information they are learning for a longer period of time.
What are the Factors of 30?
When the original number 30 is divided completely without having a remainder, the results you get are the factors of 30. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. These numbers can be positive and negative, but cannot be fraction or decimal numbers. The positive factors of 30 are (1, 30), (2, 15), (3, 10), and (5, 6) whereas the negative factors of 30 are (-1, -30), (-2, -15), (-3, -10), and (-5, -6). When the negative factors are multiplied together, the product you get is positive. The total sum of eight factors of 30 are 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 is 72. Kids can learn to find the factors of prime and pair factors by multiplication methods.
How to Find the Factors of 30?
To calculate the factors of 30, kids need to learn division and multiplication methods. This helps them calculate the problems efficiently. Moreover, kids must memorize tables 1 to 30 to solve mathematical problems quickly. In this division method, kids need to divide the original number with different integers to get factors of 30. Find the way to calculate the factors of 30 given below.
30/1 = 30
30/2 = 15
30/3 = 10
30/5 = 6
30/6 = 5
30/10 = 3
30/15 = 2
30/30 = 1
Therefore, the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
Pair Factors of 30
When two factors of 30 are multiplied together, the product you obtain is the original number 30. These two factors are called the pair factors of 30. Besides, kids must learn that pair factors can be positive or negative. To find the positive and negative pair factors of 30, you can apply the multiplication method given below.
1 x 30 = 30
2 x 15 = 30
3 x 10 = 30
5 x 6 = 30
6 x 5 = 30
10 x 3 = 30
15 x 2 = 30
30 x 1 = 30
Therefore, the positive pair factors of 30 are (1, 30), (2, 15), (3, 10), and (5, 6). To find negative pair factors of 30, you must multiply two negative pair factors. When you multiply two negative numbers, the result is always positive. Check out the multiplication method to find the negative pair factors of 30 as given below.
-1 x -30 = 30
-2 x -15 = 30
-3 x -10 = 30
-5 x -6 = 30
-6 x -5 = 30
-10 x -3 = 30
-15 x -2 = 30
-30 x -1 = 30
Therefore, the negative pair factors of 30 are (-1, -30), (-2, -15), (-3, -10), and (-5, -6).
Prime Factors of 30
To calculate the prime factors of 30, you need to divide the original number with the least prime number 2. Then, divide the product with prime number 3, followed by number 5 till you get the quotient one. Check the steps to calculate the prime factors of 30 given below.
Step 1: Divide the original number 30 with prime number 2
30/2 = 15
Step 2: Again, divide the product of the first step with the prime number 3 as it is not divisible by the number 2.
15/3 = 5
Step 3: Finally, divide the product of the second step with the number 5 as it is not divisible by the number 3.
5/5 = 1
Therefore, the prime factors of 30 are 2 x 3 x 5.
Solved Examples on Factors of 30
Some solved examples on factors of 30 for kids are mentioned below.
Example 1: Find the common factors of 12 and 30.
Solution: Factors of 12 = 1, 2, 3, 4, 6, and 12
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, and 30.
Therefore, the common factors of 12 and 30 are 1, 2, 3, and 6.
Example 2: A boy purchased 30 chocolate bars for his school friends. He gave all the chocolate bars to his 15 friends. How many chocolate bars did each friend get?
Solution: Number of chocolate bars = 30
Number of friends = 15
Total number of chocolate bars received by each friend = 30/15 = 2
Therefore, the total number of chocolate bars received by each friend is 2.
Benefits of Learning Factors of 30
learning factors of 30 for kids; It enables kids to understand arithmetic operations and their calculations effectively. It helps kids to solve mathematical problems quickly. It increases children’s academic performance. It allows kids to make fast and accurate calculations. It improves time management, speed and accuracy in children while solving mathematical problems.