 # Multiples of 25

The multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, etc. These multiples are obtained when we multiply 25 by natural numbers, such as 1, 2, 3, …, 10, respectively. We can observe that all these multiples form a sequence with the difference between two consecutive multiples of 25 is always equal to 25. We know that every number is a multiple and the factor of itself. Thus, 25 is a factor of 25, and also 25 is a multiple of 25. However, there is a difference between factors and multiples, which you can learn here.

## What are the Multiples of 25?

Multiples for 25 are numbers that can be divided by 25 without a remainder. In other words, any number that can be expressed in 25n where n is an integer is a multiple of 25. 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. Also, all the multiples of 25 will be exactly divisible by 25 without leaving any remainder, i.e. remainder is 0 in all the cases.

### Multiples of 25 List

The list of multiples 25 include:

25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575, 600, 625, 650, 675, 700, 725,…

Therefore, as per the definition mentioned above, the multiple of 25 is obtained by multiplying some positive integer with 25.

For example, 100, 150, 225, and 300 are all multiples of 25 for the following reasons.

 25 × 4 = 100 25 multiplied by 4 to get 100 25 × 6 = 150 25 multiplied by 6 to get 150 25 × 9 = 225 25 multiplied by 9 to get 225 25 × 12 = 300 25 multiplied by 12 to get 300

These are the first 9 multiples of 25. We can also find the multiples through the repeated addition of a number as many times as required.

Now, let us find the first five multiples of 25 by multiplication and adding the number repeatedly, as shown below.

The first multiple of 25 is: 25 × 1 = 25

The second multiple of 25 is: 25 × 2 = 50 Or 25 + 25 = 50 {here 25 is added for twice}

The third multiple of 25 is: 25 × 3 = 75 Or 25 + 25 + 25 = 75 {here 25 is added for thrice}

The fourth multiple of 25 is: 25 × 4 = 100 Or 25 + 25 + 25 + 25 = 100

The fifth multiple of 25 is: 25 × 5 = 125 Or 25 + 25 + 25 + 25 + 25 = 125

### Multiples of 25 Table

Go through the table given below to learn the first 20 multiples of 25 along with the multiplication notation in each case.

 Multiplication of 25 with numbers Multiples of 25 25 × 1 25 25 × 2 50 25 × 3 75 25 × 4 100 25 × 5 125 25 × 6 150 25 × 7 175 25 × 8 200 25 × 9 225 25 × 10 250 25 × 11 275 25 × 12 300 25 × 13 325 25 × 14 350 25 × 15 375 25 × 16 400 25 × 17 425 25 × 18 450 25 × 19 475 25 × 20 500

The above table is quite similar to the multiplication table of 25 since in both the cases the results are the same.

Some of the important facts about the multiples of 25 are:

• The unit’s place of multiples of 25 is always equal to either 0 or 5.
• Multiplication of 25 by an even number gives the even multiple and the unit’s place of the corresponding multiple will be 0.
• Multiplication of 25 by odd number gives the odd multiple and the unit’s place of the corresponding multiple will be 5.

### Multiples of 25 up to 1000

The list of multiples of 25 up to 1000 are:

 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575, 600, 625, 650, 675, 700, 725, 750, 775, 800, 825, 850, 875, 900, 925, 950, 975, 1000

### What is a multiple and factor of 25?

There are some differences between multiples and factors of 25. The below table shows the major differences between those two.

 Multiples of 25 Factors of 25 Multiples of a number are the n-times of the given number. Thus, multiples of 25 are in the form of 25n, where n is a natural number. Factors are the numbers which when multiplied together, produce the original number. Multiples of 25 are 25, 50, 75, 100, 125, etc. Factors of 25 are 1, 5 and 25.

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

### Examples

Example 1:

Write the multiples of 25 between 3010 and 3230.

Solution:

The multiples of 25 between 3010 and 3230 are 3025, 3050, 3075, 3100, 3125, 3150, 3175, 3200, 3225.

Example 2:

What are the multiples of 25 between 55 and 105?

Solution:

The multiples of 25 between 55 and 105 are 75 and 100 only.

These can be written as:

25 × 3 = 75

25 × 4 = 100

Visit www.byjus.com to get more information on multiples and common multiples of numbers along with practice questions.

## Frequently Asked Questions on Multiples of 25

### How do you find multiples of 25?

We can find the multiples of 25 by multiplying 25 by natural numbers such as 1, 2, 3, 4, etc. As the natural numbers are infinite, the multiples of any number are also infinite. Some of the multiples of 25 can be written as:
25 × 1 = 25
25 × 2 = 50
25 × 3 = 75
25 × 4 = 100 and so on.

### What are the first six multiples of 25?

The first 6 multiples of 25 are 25, 50, 75, 100, 125 and 150. These can be expressed as:
25 × 1 = 25
25 × 2 = 50
25 × 3 = 75
25 × 4 = 100
25 × 5 = 125
25 × 6 = 150

### What are the factors of 25?

The factors of 25 are 1, 5 and 25.

### What are the factors and multiples of 25?

The factors of 25 are 1, 5, and 25.
The multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, etc.

### Write the multiples of 25 less than 500.

The multiples of 25 less than 500 are 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475.