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 12.5, how they are used in real life, and tips to learn them quickly.
The numbers that divide 12.5 evenly are known as factors of 12.5. A factor of 12.5 is a number that divides the number without remainder. The factors of 12.5 include numbers that can multiply to result in 12.5. For practical purposes, the most relevant factor pairs involve 1 and 12.5. Negative factors of 12.5: -1 and -12.5. Prime factors of 12.5: 2 and 5. Prime factorization of 12.5: \(2.5 \times 5\). The sum of factors of 12.5: 1 + 12.5 = 13.5
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 12.5. Identifying the numbers which are multiplied to get the number 12.5 is the multiplication method. Step 1: Multiply 12.5 by 1, 12.5 × 1 = 12.5. Step 2: Check for other numbers that give 12.5 after multiplying - 2.5 × 5 = 12.5 Therefore, the positive factor pairs of 12.5 are: (1, 12.5) and (2.5, 5). For every positive factor, there is a negative factor.
Dividing the given number with 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 12.5 by 1, 12.5 ÷ 1 = 12.5. Step 2: Continue dividing 12.5 by the numbers until the remainder becomes 0. 12.5 ÷ 1 = 12.5 12.5 ÷ 2.5 = 5 Therefore, the factors of 12.5 are: 1, 2.5, 5, 12.5.
The factors can be found by dividing 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 12.5 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 12.5 ÷ 2.5 = 5 5 ÷ 5 = 1 The prime factors of 12.5 are 2.5 and 5. The prime factorization of 12.5 is: \(2.5 \times 5\).
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows: Step 1: Firstly, 12.5 is divided by 2.5 to get 5. Step 2: Divide 5 by 5 to get 1. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 12.5 is: \(2.5 \times 5\). 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 12.5: (1, 12.5) and (2.5, 5). Negative factor pairs of 12.5: (-1, -12.5) and (-2.5, -5).
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 5 people and 12.5 dollars. How will they divide it equally?
They will get 2.5 dollars each.
To divide the dollars equally, we need to divide the total dollars with the number of people. 12.5/5 = 2.5
A board is rectangular, the length of the board is 2.5 meters and the total area is 12.5 square meters. Find the width?
5 meters.
To find the width of the board, we use the formula, Area = length × width 12.5 = 2.5 × width To find the value of width, we need to shift 2.5 to the left side. 12.5/2.5 = width Width = 5.
There are 10 bags and 12.5 kilograms of flour. How many kilograms will be in each bag?
Each bag will have 1.25 kilograms of flour.
To find the flour in each bag, divide the total kilograms with the bags. 12.5/10 = 1.25
In a class, there are 12.5 kilograms of rice, and 5 groups. How many kilograms are there in each group?
There are 2.5 kilograms in each group.
Dividing the kilograms with the total groups, we will get the amount in each group. 12.5/5 = 2.5
12.5 liters of juice need to be divided into 2.5-liter bottles. How many bottles are needed?
5 bottles are needed.
Divide total liters with bottle size. 12.5/2.5 = 5
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 12.5 are 1, 2.5, 5, and 12.5. Prime factors: The factors which are prime numbers. For example, 2.5 and 5 are prime factors of 12.5. 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 12.5 are (1, 12.5) and (2.5, 5). Prime factorization: The expression of a number as the product of its prime factors. For 12.5, it is \(2.5 \times 5\). Division method: A technique used to find factors by dividing the number by whole numbers or precise decimals until a remainder of zero is achieved.
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.