What are the Multiples of 4?
Multiples are obtained from multiplying a number by any other number. As a result, the multiples of 4 are obtained when a number is multiplied by 4. For example, if we multiply 5 by 4, we will get 20, which is a multiple of 4. In other words, numbers that can be divided by 4 without resulting in a remainder are the multiples of 4.
The general form of the multiples of 4 can be written as ‘4n’, where n is a natural number. We can find the different multiples of 4 by placing any natural number in place of n.
When n = 1, 4n = 4
When n = 2, 4n = 8
When n = 3, 4n = 12
When n = 4, 4n = 16
The value of ‘n’ can go on till infinity. This indicates that 4 has an infinite number of multiples, just like any other number.
Times Table of 4
The multiples of 4 can be arranged in a table known as the times table of 4.
The times table of 4 also shows that the number of multiples for a number can be extended to any value of n.
How to represent the Multiples of 4 on a Number line?
The following number line shows the multiples of 4.
Here, we can observe a pattern in the multiples of 4. There is a series of jumps such that 4 is added n number of times when we multiply 4 by n. So, the difference between any two successive multiples of 4 is 4.
How can we Find the Multiples of 4 through Repeated Addition?
The multiples of 4 can also be obtained through repeated addition. The following table will help in understanding repeated addition as a way to find the multiples of a number.
Multiplication table of 4 | Repeated addition of 4 | Explanation |
|---|---|---|
4 × 1 = 4 | - | - |
4 × 2 = 8 | Or 4 + 4 = 8 | Here 4 is added twice |
4 × 3 = 12 | Or 4 + 4 + 4 = 12 | Here 4 is added thrice |
4 × 4 = 16 | Or 4 + 4 + 4 + 4 = 16 | Here 4 is added four times |
4 × 5 = 20 | 4 + 4 + 4 + 4 + 4 = 20 | Here 4 is added five times |
4 × 6 = 24 | 4 + 4 + 4 + 4 + 4 + 4 = 24 | Here 4 is added six times |
Here, we can see that we get the multiples of 4 by repeatedly adding 4. If 4 is added n times, we get the value of 4n, that is, the nth multiple of 4.
Since repeated addition is a time consuming method, using the times table of numbers is a better way to solve problems involving multiplication operations.
Solved Multiples of 4 Examples
Example 1: What is the 11th multiple of 4?
Answer: In this problem, we can find the 11th multiple of 4 by using the ‘4n’ formula.
So, when n = 11, 4n = 4 x 11 = 44
Thus, the 11th multiple of 4 is 44.
Example 2: Can you find the multiples of 4 in the month of April?
Answer: There are a total of 30 days in the month of April. As a result, every 4th day of the month is a multiple of 4. Hence, the multiples of 4 in the month of April are:
4 × 1 = 4th of April
4 × 2 = 8th of April
4 × 3 = 12th of April
4 × 4 = 16th of April
4 × 5 = 20th of April
4 × 6 = 24th of April
4 × 7 = 28th of April
The multiples of 4 in the month of April are 4, 8, 12, 16, 20, 24, and 28.
Example 3: Bonny buys some packets of cornflakes for $8 per packet. Alice buys some packets of biscuits for $4 per packet. Bonny and Alice spend the same amount of money on the food packets. What is the minimum amount of money they could have spent?
Answer: The price of the cornflakes packets Bonny bought = $8 per packet
The price of the biscuit packets Alice bought = $4 per packet
Since both Bonny and Alice spent the same amount on the food packets, the total amount spent by each of them is a common multiple of 4 and 8.
Let us list the multiples of 4 and 8.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40…
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80…
The common multiples of 4 and 8 are 8, 16, 24, 32, 40..
The lowest common multiple among these multiples is 8.
Thus, the minimum amount they could have spent is $8.
Example 4: Is 73 a multiple of 4?
Answer: 73 is not a multiple of 4. The multiples of 4 closest to 73 are 72 and 76.
Yes, the multiples of 4 are even numbers as the multiplication of any number with by an even number results in an even number. Since 4 is an even number, thus its multiples are also even numbers.
All numbers including 4 have an infinite number of multiples.
The first five multiples of 4 are 4, 8, 12, 16, and 20.
Multiples of 4 can be obtained by multiplying numbers by 4. For example, if we multiply 4 by 8, it will result in 32, which is a multiple of 4.