 # Multiples of 10

In mathematics, finding multiples of a given number involves multiplication of the given number by natural numbers. Among all the numbers, finding the multiples of 10 is very simple. We know that every number is a multiple and the factor of itself. Thus, 10 is a factor of 10, and also 10 is a multiple of 10. However, there is a difference between factors and multiples, which you can learn here.

The multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, etc. These multiples are obtained when we multiply 10 by 1, 2, 3, …, 10, respectively. We can observe that all these multiples form a sequence with the difference between two consecutive products equal to 10.

## What are the Multiples of 10?

Multiples of 10 are numbers that can be divided by 10 without a remainder. In other words, any number that can be expressed in 10n where n is an integer is a multiple of 10. So, for example, we have two values, p and q; we say that q is a multiple of p if q = np for some integer n. As we know, finding the multiples of 10 is very easy as we have to place zero next to the number by which 10 is multiplied.

For example, 60, 80, 120, and 160 are all multiples of 10 for the following reasons.

 10 × 6 = 60 10 multiplied by 6 to get 60 10 × 8 = 80 10 multiplied by 8 to get 80 10 × 12 = 120 10 multiplied by 12 to get 120 10 × 16 = 160 10 multiplied by 16 to get 160

We can also justify the above numbers using division method as:

60 ÷ 10 = 6 {remainder = 0}

80 ÷ 10 = 8 {remainder = 0}

120 ÷ 10 = 12 {remainder = 0}

160 ÷ 10 = 16 {remainder = 0}

Thus, the above numbers are multiples of 10.

We can also find the multiples through the repeated addition of a number as many times as required. Let us find the first five multiples of 10 by multiplication and add the number repeatedly, as shown below.

The first multiple of 10 is: 10 × 1 = 10

The second multiple of 10 is: 10 × 2 = 20 Or 10 + 10 = 20 {here 10 is added for twice}

The third multiple of 10 is: 10 × 3 = 30 Or 10 + 10 + 10 = 30 {here 10 is added for thrice}

The fourth multiple of 10 is: 10 × 4 = 40 Or 10 + 10 + 10 + 10 = 40

The fifth multiple of 10 is: 10 × 5 = 50 Or 10 + 10 + 10 + 10 + 10 = 50

In the same way, we can write several multiples of the given numbers.

### Multiples of 10 Table

The first 20 multiples of 10 along with the multiplication notation in each case are provided in the table below:

 Multiplication of 10 with numbers Multiples of 10 10 × 1 10 10 × 2 20 10 × 3 30 10 × 4 40 10 × 5 50 10 × 6 60 10 × 7 70 10 × 8 80 10 × 9 90 10 × 10 100 10 × 11 110 10 × 12 120 10 × 13 130 10 × 14 140 10 × 15 150 10 × 16 160 10 × 17 170 10 × 18 180 10 × 19 190 10 × 20 200

The above table is quite similar to the multiplication table of 10 since in both the cases the results are the same.

### What is a multiple and factor of 10?

There are some differences between multiples and factors of 10.

 Multiples of 10 Factors of 10 Multiples of a number are the n-times of the given number. Thus, multiples of 10 are in the form of 10n, where n is a natural number. Factors are the numbers which when multiplied together, produce the original number. Multiples of 10 are 10, 20, 30, 40, 50, etc. Factors of 10 are 1, 2, 5 and 10.

However, a number contains infinite multiples, whereas the number of factors of a number is finite.

### Multiples of 10 on number line

We can show the multiples of 10 on the number line just like how we show the addition or multiplication of numbers. For example, the fourth multiple of 10 can be shown as: ### Examples

Example 1:

How many multiples of 10 are smaller than 250?

Solution:

24 multiples of 10 are smaller than 250. They are:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, and 240.

Example 2:

Write the multiples of 10 up to 100.

Solution:

The multiples of 10 up to 100 include the following.

10, 20, 30, 40, 50, 60, 70, 80, 90, 100

Thus, these are the first 10 multiples of 10.

## Frequently Asked Questions on Multiples of 10

### How many multiples does 10 have?

The multiples of 10 are not finite. As we know, we can write infinite multiples for a given number since the numbers by which we multiply the given numbers are infinite.

### What are the first 5 multiples of 10?

The first 5 multiples of 10 are 10, 20, 30, 40 and 50. These can be expressed as:
10 × 1 = 10
10 × 2 = 20
10 × 3 = 30
10 × 4 = 40
10 × 5 = 50

### What are the factors of 10?

The factors of 10 are 1, 2, 5 and 10.

### What is the smallest multiple of 10?

The smallest multiple of 10 is 10 only since for any number the multiples are greater than or equal to that number.

### What are the first 10 multiples of 10?

The first 10 multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100.