What are the multiples of 5?
We know that multiples are the result we get when we multiply two numbers. In other words – a multiple is a product of two numbers. You can also remember that word ‘multiple’ means the multiplication of two numbers.
The multiples of 5 are the values that we get by multiplying any number to the number 5.
Let us start by identifying the first 10 multiples of 5
|The first 10 multiples of 5
|5 x 1 = 5||5 x 6 = 30|
|5 x 2 = 10||5 x 7 = 35|
|5 x 3 = 15||5 x 8 = 40|
|5 x 4 = 20||5 x 9 = 45|
|5 x 5 = 25||5 x 10 =50|
The first 10 multiples are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
We can write any number of multiples for 5 similarly.
How to identify the multiple of 5?
Let us take the first 10 multiples we found out earlier.
It is because the one’s digit in all the multiples alternates between 0 and 5. Did you notice the first multiple is 5, the third multiple is 15, the fifth multiple is 25, and so on?
Similarly, the second multiple is 10, the fourth multiple is 20, the sixth multiple is 30, and so on.
So all the multiples that we get by multiplying the odd numbers have 5 in the one’s place and the multiples we get by multiplying the even numbers have 0 in the one’s place.
Test of Divisibility of 5
What are tests of divisibility?
The test of divisibility is the easy way to identify whether a number is divisible by a given number. This is done without actually dividing the numbers.
The test of divisibility helps to find the factors of a number without actually dividing them.
The test of divisibility of 5 is that the given number should have either 0 or 5 in the one’s place.
That is if a number has 0 or 5 in one’s place, the given number is divisible by 5.
Question 1 (SOLVED):
Find the numbers that are divisible by 5.
1587, 2500, 75,2685, 4971
- Observe the value in the one’s digit in each of the given numbers.
- Pick the numbers that have either 0 or 5 in the one’s place. Here they would be 2500, 75, 2685.
- These are the numbers that are divisible by 5.
The test of divisibility helps to find even if a very large number is divisible by 5 or not.
Yes, because we know that all the multiples of 5 have 0 or 5 in the one’s place, this number is divisible by 5 since there is 0 in the one’s place.
In a quiz, Danny has this question where he needs to find the answer for 45085 divided by 5.
He has two answer choices 9017 and 9014 out of which he needs to choose one without actually doing the division.
Can you help him?
As we observed earlier, the multiples of 5 have either 0 or 5 as their last digits.
We can also see that when 5 is multiplied to an odd number, the last digit is 5 and when 5 is multiplied to an even number, the last digit is 0.
The given number 45085 has 5 in the one’s place, which means that 5 is multiplied to an odd number.
Now, which is the odd number of the two given choices?
9017 or 9014
The right choice is 9017.
Important points about multiples
- The number 5 becomes the first and the least multiple of itself.
- 5 is the only prime multiple of 5.
- 5 is also the least common multiple of its any other multiples.
The least common multiple of two numbers is the smallest number that will divide both the given numbers.
If we take two multiples of 5, say, 30 and 55. The least value that can divide both 30 and 55 is 5.
Check what I know?
Write the next four multiples of 5 after 80.
The first multiple of 5 after 80 👉🏻 80 + 5 = 85
The second multiple 👉🏻 85 + 5 = 90
The third multiple 👉🏻 90 + 5 = 95
The fourth multiple 👉🏻 95 + 5 = 100
The four multiples of 5 after 80 are 85, 90, 95, 100.
Find the first two even multiples and first three odd multiples of 5.
- The first two even multiples are 10, 20
- The first three odd multiples are 5, 15, 25
Alice scores 5 points when she clears each level of her brain game. How many levels should she play to score 75 points?
Alice is going to score the points by 5’s. That means she needs to add 5 to her points until she gets 75 points. Let us add 5 until she gets to 75 points.
The points in the game are going to be 5 in the first level, 10 in the second level, and so on. At the 15th level, Alice can score 75 points.
Find the multiples of 5 between the numbers 67 and 90.
To find the multiples of 5, we can start by finding the first multiple after 67.
Recollect that all the numbers that have 0 or 5 in their one’s place are multiples of 5.
What is the number that will have 0 or 5 in the one’s place that occurs after 67?
It is 70.
So the first multiple between 67 and 90 is 70.
From here you can do the skip counting by 5’s to get all the multiples.
70, 75, 80, 85, 90
These are the multiples that lie between the numbers 67 and 90.
Find the sum of the 12th multiple and 15th multiple of 5.
The 12th multiple of 5 is 5 x 12 = 60
The 15th multiple of 5 is 5 x 15 = 75
The sum of the 12th and 15th multiple is 60 + 75 = 135
Charles is filling the gift candy pouches for the Christmas Party. He is filling 5 candies in each of the pouches. He has 85 candies to be filled. How many such pouches can he make?
If each pouch has 5 candies.
The number of candies he can fill in all the pouches would be a multiple of 5.
So the total number of candies that he has which is 85 also has to be a multiple of 5.
Let us find the number of times 5 can be multiplied to get 85.
To find this we can do the division 855 = 17.
So Charles can fill 17 pouches with the candies he has.
Alternatively, we can also find this answer by finding the number of multiples required to reach 85.
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85
So that would make 17 multiples or 17 pouches.
Frequently Asked Questions
A prime number is a number that cannot be divided by any number other than 1 and the number itself.
We know that 5 is a prime number.
The multiples that follow 5 are certainly divisible by 5 as they are found out by multiplying 5. This breaks the rule that the number should only be divisible by 1 and the number itself.
Hence 5 would be the only prime multiple of itself.
We can use the multiples of 5 for counting as it is easier to skip count in 5s.
A heap of chocolates can be quickly counted in bunches of 5 than counting them one by one.
Hence counting by 5s is easier.
A factor is the numbers in which a given number can be split into. For examples 20 can be split into 10×2, where 10 and 2 are the factors of 20.
But a multiple is the multiplication of the given number into its greater values.