Factors of 25

Factors of 25 are the numbers obtained when you divide the original number 25 completely without leaving the remainder. These numbers are whole numbers but not in decimal or fraction form. Factors of 25 are 1, 5, and 25. Kids must learn to identify and solve problems related to factors of a number quickly. Therefore, you need to enhance their knowledge of factors of 25 through creative activities. This enables them to make fast and accurate calculations for better academic performance. 

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How to find the factors of 25? You need to calculate the factors of a number using the division method. Besides this, teach kids to find out the pair and prime factors of 25. The pair factors of 25 are (1 x 25) and (5 x 5), and the prime factors of 25 are 5 x 5 = 52. It is essential for kids to differentiate between the pair and prime factors of a number for effective calculation practices. Also, conducting math activities would help kids concentrate on learning factors of 25 effectively. This helps them retain the numbers they are learning for a longer period of time. Let us explore what factors of 25 are and the methods to find them. 

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What are the Factors of 25?

Factors of 25 are the numbers that divide the original number 25 evenly with zero remainders. You can find the factors of 25 using the division method in the simplest way. Factors of 25 are 1, 5, and 25. Note that these numbers can be positive or negative. Besides this, you can teach kids about the pair and prime factors of 25. The pair factors of 25 are (1, 25) and (5, 5), and the prime factors of 25 are 5 x 5 = 52. The total sum of factors of 25 is 1 + 5 + 25 = 31.

How to Find the Factors of 25?

To find the factors of 25, you need to divide the original number 25 entirely without the remainder using the division method. Kids can learn the table of 25 to solve the fraction related problems easily. Check out the method to calculate the factors of 25 as given below. 

25/1 = 25

25/5 = 5

25/25 = 1

Therefore, factors of 25 are 1, 5, and 25. 

Pair Factors of 25 

To find the pair factors of 25, you need to multiply the integers in pairs to get the original number. However, these numbers can be positive or negative. Check out the multiplication method to calculate the positive pair factors of 25 as given below. 

1 x 25 = 25

5 x 5 = 25

25 x 1 = 25

Therefore, the positive pair factors of 25 are (1, 25) and (5, 5). Similarly, you can find the negative pair factors of 25 using the multiplication method.

-1 x -25 = 25

-5 x -5 = 25

-25 x -1 = 25

Therefore, the negative pair factors of 25 are (-1, -25) and (-5, -5). 

Prime Factors of 25 

To find the prime factors of 25, you need to divide the original number 25 with the prime numbers until you get the quotient one as the end product. Check out the prime factorization method to calculate the prime factors of 25 given below. 

Step 1: Divide the original number 25 with the prime number 5 since it is not divisible by the least prime number 2. 

25/5 = 5

Step 2: Again, divide the number 5 with the prime number 5 to get the quotient one. 

5/5 = 1

Therefore, the prime factors of 25 are 5 x 5 = 52

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Solved Examples on Factors of 25

Some of the solved examples on factors of 25 for children are mentioned below. 

Example 1: Find the common factors of 25 and 10. 

Solution: Factors of 25 = 1, 5, and 25 

Factors of 10 = 1, 2, 5, and 10

Therefore, the common factors of 25 and 10 are 1 and 5. 

Example 2: Lucy has 25 caps in her cupboard. She distributed them equally among her 5 friends. How many caps did each friend get?

Solution: Number of caps = 25

Number of friends = 5

Total number of caps received by each friend = 25/5 = 5

Therefore, the total number of caps received by each friend is 5. 

We hope this article on factors of 25 was useful to you. For more about activities, worksheets and games, explore worksheets for kids, math for kidspuzzles for kids, kids learning sections at Osmo. 

Frequently Asked Questions on Factors of 25

What are the factors of 25?

The factors of 25 are 1, 5, and 25.

What are the pair factors of 25?

The positive pair factors of 25 are (1, 25) and (5, 5), whereas the negative pair factors of 25 are (-1, -25) and (-5, -5).

What are the prime factors of 25?

The prime factors of 25 are 5 x 5 = 52.