Multiples of 14

Created by: Team Maths - Examples.com, Last Updated: August 21, 2024

Multiples of 14

Multiples of 14 are numbers obtained by multiplying 14 with integers. In mathematics, these numbers are integral parts of the number system. Each multiple is a product of 14 and another integer, illustrating the concept of multiplication. Multiples of 14 can also be seen as having 14 as one of their divisors or factors. Understanding multiples helps in grasping broader mathematical concepts such as divisibility and common factors.

What are Multiples of 14?

Multiples of 14 are numbers that can be expressed as 14 times an integer. In other words, any number that results from multiplying 14 by any whole number is a multiple of 14. Examples include 14, 28, 42, 56, and so on.

Prime Factorization of 14: 14 = 2 × 7 First 10 multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140.

Table of 14

Important Notes

Exact Division:

• A number is a multiple of 14 if it can be divided by 14 without any remainder.

Zero Remainder:

• When dividing a number by 14, if the remainder is 0, the number is a multiple of 14.

Examples of Multiples:

• 28: 28÷14 = 2, remainder 0.
• 56: 56÷14 = 4, remainder 0.
• 98: 98÷14 = 7, remainder 0.
• 126: 126÷14 = 9, remainder 0.

Non-Multiples:

• If the division of a number by 14 results in a remainder other than 0, the number is not a multiple of 14.
• Example: 175: 175÷14 = 12 remainder 7.

Verification:

• To verify if a number is a multiple of 14, divide the number by 14 and check if the remainder is 0. If yes, it’s a multiple; if not, it’s not a multiple.

Examples on Multiples of 14

Example 1: 14

• Calculation: 14÷14 = 1
• Remainder: 0
• Explanation: 14 is the first multiple of 14.

Example 2: 28

• Calculation: 28÷14=2
• Remainder: 0
• Explanation: 28 is the second multiple of 14.

Example 3: 42

• Calculation: 42÷14 = 3
• Remainder: 0
• Explanation: 42 is the third multiple of 14.

Example 4: 56

• Calculation: 56÷14 = 4
• Remainder: 0
• Explanation: 56 is the fourth multiple of 14.

Example 5: 70

• Calculation: 70÷14 = 5
• Remainder: 0
• Explanation: 70 is the fifth multiple of 14.

Example 6: 84

• Calculation: 84÷14 = 6
• Remainder: 0
• Explanation: 84 is the sixth multiple of 14.

Example 7: 98

• Calculation: 98÷14 = 7
• Remainder: 0
• Explanation: 98 is the seventh multiple of 14.

Example 8: 112

• Calculation: 112÷14 = 8
• Remainder: 0
• Explanation: 112 is the eighth multiple of 14.

Example 9: 126

• Calculation: 126÷14 = 9
• Remainder: 0
• Explanation: 126 is the ninth multiple of 14.

Example 10: 140

• Calculation: 140÷14 = 10
• Remainder: 0
• Explanation: 140 is the tenth multiple of 14.

Example 11: 154

• Calculation: 154÷14 = 11
• Remainder: 0
• Explanation: 154 is the eleventh multiple of 14.

Example 12: 168

• Calculation: 168÷14 = 12
• Remainder: 0
• Explanation: 168 is the twelfth multiple of 14.

What is a multiple of 14?

A multiple of 14 is a number that can be divided by 14 without leaving a remainder. For example, 28, 56, and 98 are all multiples of 14.

How can you determine if a number is a multiple of 14?

To determine if a number is a multiple of 14, divide the number by 14. If the division results in an integer with no remainder, then the number is a multiple of 14.

What are the first five multiples of 14?

The first five multiples of 14 are 14, 28, 42, 56, and 70.

Is 84 a multiple of 14?

Yes, 84 is a multiple of 14 because 84÷14 = 6 with no remainder.

Why is 175 not a multiple of 14?

175 is not a multiple of 14 because when divided by 14, it leaves a remainder. 175÷14 = 12 with a remainder of 7.

Can a negative number be a multiple of 14?

Yes, negative numbers can be multiples of 14. For example, -14, -28, and -42 are all multiples of 14.

What is the 10th multiple of 14?

The 10th multiple of 14 is 140, because 14×10 = 140.

Are all multiples of 14 also multiples of 7?

Yes, all multiples of 14 are also multiples of 7 because 14 itself is a multiple of 7.

How are multiples of 14 useful in real life?

Multiples of 14 can be useful in various real-life scenarios such as scheduling events every 14 days, calculating weekly salaries over multiple weeks, and organizing items into groups of 14.

What is the difference between a factor and a multiple of 14?

A factor of 14 is a number that divides 14 without leaving a remainder, such as 1, 2, 7, and 14. A multiple of 14 is a number that can be expressed as 14 times an integer, such as 14, 28, 42, and so on.

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