Multiples of 10
Multiples of 10 are the products when an integer is multiplied by 10. Did you know that 10 is the sum of the first four consecutive whole numbers, that is, 1 + 2 + 3 + 4 = 10, and 10 is the sum of the first three prime numbers, that is, 2 + 3 + 5 = 10? Multiples of 10 are the easiest to memorize. In this mini-lesson, we will calculate the multiples of 10, and interesting facts about these multiples.
- First five multiples of 10: 10, 20, 30, 40, 50
- Prime Factorization of 10: 10 = 2 × 5
Let us explore a little bit more about the multiples of 10 and its properties of it.
| 1. | What are the Multiples of 10? |
| 2. | First 20 Multiples of 10 |
| 3. | Important Notes |
| 4. | FAQs on Multiples of 10 |
What are the Multiples of 10?
Multiples of 10 are the numbers that can be divided by 10 without any remainder.
To create a list of multiples of 10,
- We first multiply 10 by 1 to get the first multiple of 10 which is 10,
- Then we multiply 10 by 2 to get the second multiple of 10 which is 20,
- Then we multiply 10 by 3 to get the third multiple of 10 which is 30, and so on.
This list is never-ending, we can generate as many multiples of 10 as we want.
The first few multiples of 10 are obtained by the results of the times table 10
| 10 × 1 = 10 |
| 10 × 2 = 20 |
| 10 × 3 = 30 |
| 10 × 4 = 40 |
| 10 × 5 = 50 |
List of First 20 Multiples of 10
The multiples of 10 are the numbers that are exactly divisible by 10 with zero remainders.
- The multiples of 10 are all even numbers
- The multiples of 10 end with 0
Here are the first 10 multiples of 10:
Can you try finding the next ten multiples of 10?
Yes, they are 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
To understand the concept of finding multiples, let us take a few more examples.
- Multiples of 20 - The first five multiples of 20 are 20, 40, 60, 80, 100
- Multiples of 4 - The first five multiples of 4 are 4, 8, 12, 16, 20
- Multiples of 5 - The first five multiples of 5 are 5, 10, 15, 20, 25
- Multiples of 3 - The first five multiples of 3 are 3, 6, 9, 12, 15
- Multiples of 7 - The first five multiples of 7 are 7, 14, 21, 28, 3
Important Notes:
- When you multiply a number by 10 you will get the number attached with zero as the result. eg: 10 × 2 = 20
- Multiples of 10 are even numbers that end with 0
- If a number is ending with 0 then it is always divisible by 10
- The common number system is to the base 10
Multiples of 10 Solved Examples
-
Example 1: Sam was given a list of numbers.
Can you help him find out multiples of 12, multiples of 10, multiples of 8?
Solution: In such situations, the time table of 12, 10, 8 comes in handy.
Multiples of 12 Multiples of 10 Multiples of 8 12 20, 30, 40 32, 40 -
Example 2:
Harry has to solve the following puzzle that was given by a friend. Find the number which fits all these statements:
- It is a common multiple of 10 and 8
- It is between 1 and 50
Solution: List of multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, etc;
Multiples of 10 are 10, 20, 30, 40, 50, 60, etc.
Out of the numbers listed above only 40 is lying between 0 and 50 which ends with 0
The common multiple of 10 and8, which lies between 1 & 50 is 40
Therefore, 40 is the solution to Harry's puzzle.
FAQs on Multiples of 10
How many multiples does 10 Have?
The number of multiples of any number is infinite. eg: 10, 20, 30, 40, 50, 60, etc.
What is the 10th multiple of 10?
10 × 10 = 100.
10th multiple of 10 is 100.
How do you Multiply Multiples of 10?
Multiplication of any number with multiples of 10 is way lot easier than regular multiplication.
First, we need to multiply the digits as it is and attach the trailing zeros at the end of the number.
Similarly, we need to do to get multiples of 100
Eg: 20 × 70=1400, 40 × 3=120, 100 × 5=500, etc;
What is the Least Common Multiple of 10 and 15?
The least common multiples of two numbers a and b can be calculated using the formula: (a × b)/GCF(a,b)
Here GCF(a,b) is the greatest common factors of a and b
GCF(10,15) = 5
LCM(10,15) = (10 × 15)/GCF(10,15) = 150/5 = 30
What are the first five multiples of 10?
The first five multiples of 10 are 10, 20, 30, 40, 50
visual curriculum