What are the Multiples of 40?
The multiples of 40 are those numbers that we get as a result of multiplying 40 by any natural number.
For example: If we multiply 40 by 4, the product will be 160. So, we say that 160 is a multiple of 40 and 4.
The multiples of 40 can be expressed in the form of 40n, where, n is any natural number, such that, n = 1, 2, 3, 4, 5, 6, … .
The multiples of 40 will be:
40, 80, 120, 160, 200, 240, and so on.
Also, we can observe that the difference between consecutive multiples of 40, that is, the difference between each succeeding multiple of 40 and preceding multiple of 40, is 40, that is,
80 – 40 = 40
120 – 80 = 40
160 – 120 = 40, and so on
For example: 120, 320 and 3600 are all multiples of 40 because we can get these numbers by multiplying 40 by a natural number.
The 40 times table:
How can we Find Multiples by Repeated Addition?
Repeated addition is the process of repeatedly adding a number to itself.
We can find multiples through repeated addition through the following way:
Rapid Recall
Multiples of 40 are:
Solved Multiples of 40 Examples
Example 1: The Christmas tree at John’s home is decorated by red balls that have stars on them. There are 40 stars on each ball, so how many stars will be there in total if there are 10 such balls?
Solution:
Number of stars on one ball = 40
There are 10 such balls.
Total number of stars on 10 balls,
= 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40
= 10 \(\times\) 40
= 400
Hence, there are 400 stars on 10 balls.
Example 2: Is 240 a multiple of 40?
Solution:
List the multiples of 40: 40, 80, 120, 160, 200, 240, and so on
240 is included in the above list.
Also \(\frac{240}{40}=6\)R0. When 240 is divided by 40, the quotient is 6 and the remainder is 0. So 40 is a factor of 240.
Therefore, 240 is a multiple of 40.
Example 3: Using division, show that 640 is a multiple of 40?
Solution:
Divide 640 by 40,
When 640 is divided by 40, the quotient is 16 and the remainder is 0.
Hence, 640 is a multiple of 40.
The smallest multiple of 40 is 40 itself.
The first 10 multiples of 40 are: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400.
So, the 5th multiple of 40 is 200.
The multiples of 40 are the numbers that we get when 40 is multiplied by a natural number. The multiples of 40 can be expressed in the form of 40n, where n is a natural number.
As there are infinite natural numbers to multiply 40 with,
40 can have infinite multiples.
The multiples of 40 will be obtained by multiplying 40 by natural numbers, such as, 1, 2, 3, 4, 5,…
Multiples of 40 = 40, 80, 120, 160, 200, 240, and so on
On the other hand, the factors of 40 are the exact divisors of 40.
Factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40
There are an infinite number of multiples, but the number of factors is finite.