Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without 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 1725, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1725 evenly are known as factors of 1725.
A factor of 1725 is a number that divides the number without remainder.
The factors of 1725 are 1, 3, 5, 15, 23, 69, 115, 345, 575, and 1725.
Negative factors of 1725: -1, -3, -5, -15, -23, -69, -115, -345, -575, and -1725.
Prime factors of 1725: 3, 5, and 23.
Prime factorization of 1725: 3 × 5 × 23.
The sum of factors of 1725: 1 + 3 + 5 + 15 + 23 + 69 + 115 + 345 + 575 + 1725 = 2876
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1725. Identifying the numbers which are multiplied to get the number 1725 is the multiplication method.
Step 1: Multiply 1725 by 1, 1725 × 1 = 1725.
Step 2: Check for other numbers that give 1725 after multiplying
3 × 575 = 1725
5 × 345 = 1725
15 × 115 = 1725
23 × 75 = 1725
Therefore, the positive factor pairs of 1725 are: (1, 1725), (3, 575), (5, 345), (15, 115), (23, 75).
For every positive factor, there is a negative factor.
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 the simple division method
Step 1: Divide 1725 by 1, 1725 ÷ 1 = 1725.
Step 2: Continue dividing 1725 by the numbers until the remainder becomes 0.
1725 ÷ 1 = 1725
1725 ÷ 3 = 575
1725 ÷ 5 = 345
1725 ÷ 15 = 115
1725 ÷ 23 = 75
Therefore, the factors of 1725 are: 1, 3, 5, 15, 23, 69, 115, 345, 575, 1725.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1725 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1725 ÷ 3 = 575
575 ÷ 5 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1
The prime factors of 1725 are 3, 5, and 23.
The prime factorization of 1725 is: 3 × 5 × 23.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1725 is divided by 3 to get 575.
Step 2: Now divide 575 by 5 to get 115. Step 3: Then divide 115 by 5 to get 23. Here, 23 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1725 is: 3 × 5 × 23.
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 1725: (1, 1725), (3, 575), (5, 345), (15, 115), and (23, 75).
Negative factor pairs of 1725: (-1, -1725), (-3, -575), (-5, -345), (-15, -115), and (-23, -75).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 teams and 1725 points. How will they distribute the points equally?
Each team will get 575 points.
To distribute the points equally, we need to divide the total points by the number of teams.
1725/3 = 575
A garden is rectangular, the length of the garden is 23 meters, and the total area is 1725 square meters. Find the width?
75 meters.
To find the width of the garden, we use the formula,
Area = length × width
1725 = 23 × width
To find the value of width, we need to shift 23 to the left side.
1725/23 = width
Width = 75.
There are 5 baskets and 1725 apples. How many apples will be in each basket?
Each basket will have 345 apples.
To find the apples in each basket, divide the total apples by the number of baskets.
1725/5 = 345
In a conference, there are 115 participants, and 15 groups. How many participants are there in each group?
There are 7 participants in each group.
Dividing the participants with the total groups, we will get the number of participants in each group.
115/15 = 7
1725 files need to be arranged in 23 folders. How many files will go in each folder?
Each folder will have 75 files.
Divide total files by the number of folders.
1725/23 = 75
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.
: She loves to read number jokes and games.