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 7.5, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 7.5 evenly are known as factors of 7.5. A factor of 7.5 is a number that divides the number without remainder. The factors of 7.5 are 1, 1.5, 2.5, 3, 5, and 7.5. Negative factors of 7.5: -1, -1.5, -2.5, -3, -5, and -7.5. Prime factors of 7.5: 3 and 5. Prime factorization of 7.5: 3 × 2.5. The sum of factors of 7.5: 1 + 1.5 + 2.5 + 3 + 5 + 7.5 = 20.5
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
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 7.5. Identifying the numbers which are multiplied to get the number 7.5 is the multiplication method. Step 1: Multiply 7.5 by 1, 7.5 × 1 = 7.5. Step 2: Check for other numbers that give 7.5 after multiplying 1.5 × 5 = 7.5 2.5 × 3 = 7.5 Therefore, the positive factor pairs of 7.5 are: (1, 7.5), (1.5, 5), (2.5, 3). All these factor pairs result in 7.5. For every positive factor, there is a negative factor.
Dividing the given numbers with the whole numbers or decimals until the remainder becomes zero and listing out the numbers which result as whole numbers or terminating decimals as factors. Factors can be calculated by following the simple division method - Step 1: Divide 7.5 by 1, 7.5 ÷ 1 = 7.5. Step 2: Continue dividing 7.5 by the numbers until the remainder becomes 0. 7.5 ÷ 1 = 7.5 7.5 ÷ 1.5 = 5 7.5 ÷ 2.5 = 3 7.5 ÷ 3 = 2.5 7.5 ÷ 5 = 1.5 Therefore, the factors of 7.5 are: 1, 1.5, 2.5, 3, 5, 7.5.
The factors can be found by dividing it with prime numbers. 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 7.5 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 7.5 ÷ 1.5 = 5 5 ÷ 5 = 1 The prime factors of 7.5 are 3 and 5. The prime factorization of 7.5 is: 3 × 2.5.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 7.5 is divided by 1.5 to get 5. Step 2: Now divide 5 by 5 to get 1. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 7.5 is: 3 × 2.5. 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 7.5: (1, 7.5), (1.5, 5), (2.5, 3). Negative factor pairs of 7.5: (-1, -7.5), (-1.5, -5), (-2.5, -3).
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 friends and 7.5 liters of juice. How will they divide it equally?
They will get 2.5 liters each.
To divide the juice equally, we need to divide the total juice by the number of friends. 7.5/3 = 2.5
A garden is rectangular, the length of the garden is 1.5 meters and the total area is 7.5 square meters. Find the width?
5 meters.
To find the width of the garden, we use the formula, Area = length × width 7.5 = 1.5 × width To find the value of width, we need to shift 1.5 to the left side. 7.5/1.5 = width Width = 5.
There are two containers and 7.5 liters of oil. How many liters will be in each container?
Each container will have 3.75 liters.
To find the oil in each container, divide the total oil by the containers. 7.5/2 = 3.75
In a class, there are 7.5 hours dedicated to studying, and 5 subjects. How many hours are there for each subject?
There are 1.5 hours for each subject.
Dividing the hours with the total subjects, we will get the number of hours for each subject. 7.5/5 = 1.5
7.5 kilograms of flour need to be packed in 3 bags. How many kilograms will go in each bag?
Each of the bags will have 2.5 kilograms.
Divide total kilograms with bags. 7.5/3 = 2.5
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 7.5 are 1, 1.5, 2.5, 3, 5, and 7.5. Prime factors: The factors which are prime numbers. For example, 3 and 5 are prime factors of 7.5. 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 7.5 are (1, 7.5), (1.5, 5), etc. Prime factorization: The representation of a number as the product of its prime factors. For example, the prime factorization of 7.5 is 3 × 2.5. Terminating Decimal: A decimal that ends or has a finite number of digits after the decimal point. For example, 0.5 is a terminating decimal.
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.