100 LearnersLast updated on May 26th, 2025
Factors of 4725
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 4725, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4725?
The numbers that divide 4725 evenly are known as factors of 4725.
A factor of 4725 is a number that divides the number without remainder.
The factors of 4725 are 1, 3, 5, 9, 15, 21, 25, 45, 63, 75, 105, 189, 225, 315, 4725.
Negative factors of 4725: -1, -3, -5, -9, -15, -21, -25, -45, -63, -75, -105, -189, -225, -315, and -4725.
Prime factors of 4725: 3, 5, and 7.
Prime factorization of 4725: 3² × 5² × 7.
The sum of factors of 4725: 1 + 3 + 5 + 9 + 15 + 21 + 25 + 45 + 63 + 75 + 105 + 189 + 225 + 315 + 4725 = 5826.
How to Find Factors of 4725?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 4725. Identifying the numbers which are multiplied to get the number 4725 is the multiplication method.
Step 1: Multiply 4725 by 1, 4725 × 1 = 4725.
Step 2: Check for other numbers that give 4725 after multiplying
3 × 1575 = 4725
5 × 945 = 4725
9 × 525 = 4725
15 × 315 = 4725
21 × 225 = 4725
25 × 189 = 4725
45 × 105 = 4725
63 × 75 = 4725
Therefore, the positive factor pairs of 4725 are: (1, 4725), (3, 1575), (5, 945), (9, 525), (15, 315), (21, 225), (25, 189), (45, 105), and (63, 75). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 4725 by 1, 4725 ÷ 1 = 4725.
Step 2: Continue dividing 4725 by the numbers until the remainder becomes 0.
4725 ÷ 1 = 4725
4725 ÷ 3 = 1575
4725 ÷ 5 = 945
4725 ÷ 9 = 525
4725 ÷ 15 = 315
4725 ÷ 21 = 225
4725 ÷ 25 = 189
4725 ÷ 45 = 105
4725 ÷ 63 = 75
Therefore, the factors of 4725 are: 1, 3, 5, 9, 15, 21, 25, 45, 63, 75, 105, 189, 225, 315, 4725.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 4725 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4725 ÷ 3 = 1575
1575 ÷ 3 = 525
525 ÷ 3 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of 4725 are 3, 5, and 7.
The prime factorization of 4725 is: 3² × 5² × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4725 is divided by 3 to get 1575.
Step 2: Now divide 1575 by 3 to get 525.
Step 3: Then divide 525 by 3 to get 175.
Step 4: Divide 175 by 5 to get 35.
Step 5: Divide 35 by 5 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4725 is: 3² × 5² × 7.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 4725: (1, 4725), (3, 1575), (5, 945), (9, 525), (15, 315), (21, 225), (25, 189), (45, 105), and (63, 75).
Negative factor pairs of 4725: (-1, -4725), (-3, -1575), (-5, -945), (-9, -525), (-15, -315), (-21, -225), (-25, -189), (-45, -105), and (-63, -75).
Common Mistakes and How to Avoid Them in Factors of 4725
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 4725, 1 and 4725 are also factors.
Factors of 4725 Examples
Problem 1
A music group has 315 songs and 4725 minutes of recording time. How many minutes does each song take?
Each song takes 15 minutes.
Explanation
To find the time for each song, divide the total recording time by the number of songs.
4725/315 = 15
Problem 2
A rectangular garden has an area of 4725 square meters, and its length is 105 meters. What is the width of the garden?
45 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
4725 = 105 × width
To find the value of width, we need to shift 105 to the left side.
4725/105 = width
Width = 45.
Problem 3
There are 9 teams and 4725 participants in a tournament. How many participants are in each team?
Each team has 525 participants.
Explanation
To find the participants in each team, divide the total participants by the teams.
4725/9 = 525
Problem 4
A library has 225 shelves, and it holds 4725 books. How many books are on each shelf?
There are 21 books on each shelf.
Explanation
Dividing the books by the total shelves, we get the number of books on each shelf.
4725/225 = 21
Problem 5
4725 pieces of candy need to be distributed in 25 bags. How many candies will go in each bag?
Each bag has 189 candies.
Explanation
Divide total candies by bags.
4725/25 = 189
FAQs on Factors of 4725
1.What are the factors of 4725?
2.Mention the prime factors of 4725.
3.Is 4725 a multiple of 9?
4.Mention the factor pairs of 4725?
5.What is the square of 4725?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 4725?
7.What are some fun ways kids in Indonesia can practice Factors of 4725 with numbers?
8.What role do numbers and Factors of 4725 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 4725 skills?
Important Glossaries for Factors of 4725
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4725 are 1, 3, 5, 9, 15, etc.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 7 are prime factors of 4725.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 4725 are (1, 4725), (3, 1575), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 4725 is 3² × 5² × 7.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 4725 is a multiple of 9.
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Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
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