119 LearnersLast updated on May 26th, 2025
Factors of -5
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -5, how they are used in real life, and tips to learn them quickly.
What are the Factors of -5?
The numbers that divide -5 evenly are known as factors of -5. A factor of -5 is a number that divides the number without remainder. The factors of -5 are 1, -1, 5, and -5. Prime factors of -5: 5. Prime factorization of -5: 5 × (-1). The sum of factors of -5: 1 + (-1) + 5 + (-5) = 0.
How to Find Factors of -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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -5. Identifying the numbers which are multiplied to get the number -5 is the multiplication method. Step 1: Multiply -5 by 1, -5 × 1 = -5. Step 2: Check for other numbers that give -5 after multiplying 1 × (-5) = -5 -1 × 5 = -5 Therefore, the factor pairs of -5 are: (1, -5) and (-1, 5). All these factor pairs result in -5.
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 the simple division method - Step 1: Divide -5 by 1, -5 ÷ 1 = -5. Step 2: Continue dividing -5 by the numbers until the remainder becomes 0. -5 ÷ 1 = -5 -5 ÷ (-1) = 5 -5 ÷ 5 = -1 -5 ÷ (-5) = 1 Therefore, the factors of -5 are: 1, -1, 5, -5.
Prime Factors and Prime Factorization
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 -5 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. -5 ÷ 5 = -1 The prime factor of -5 is 5. The prime factorization of -5 is: 5 × (-1).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, -5 is divided by 5 to get -1. Here, 5 is the smallest prime number, and it cannot be divided anymore. So, the prime factorization of -5 is: 5 × (-1).
Common Mistakes and How to Avoid Them in Factors of -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.
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 -5, 1 and -5 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of -5 consist of -1 and -5.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors. For example, thinking 0.5 as a factor, because -5/0.5 = -10, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of -5 are prime numbers. For example, 5 is the prime factor of -5, but it has other factors like 1 and -1.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking -5 as 5 × (-1) and missing all the key factors.
Factors of -5 Examples
Problem 1
There are 5 marbles, and a child needs to make sets of equal size. How many sets can they create if each set must contain the same number of marbles?
They can create 1 set with 5 marbles.
Explanation
To create sets of equal size, we need to divide the total marbles by the number of marbles in a set. 5/5 = 1
Problem 2
A rope is 5 meters long, and it needs to be cut into pieces of equal length. How many pieces can be made if each piece must be 1 meter long?
5 pieces.
Explanation
To find the number of pieces, divide the total length of the rope by the length of each piece. 5/1 = 5
Problem 3
A person has 5 identical books and wants to arrange them in stacks of equal height. How many stacks of 1 book can they create?
They can create 5 stacks of 1 book each.
Explanation
To determine the number of stacks, divide the total books by the number of books per stack. 5/1 = 5
Problem 4
There are 5 apples and 1 basket. How many apples will go in the basket?
All 5 apples will go in the basket.
Explanation
Dividing the apples by the number of baskets, we will get the number of apples in each basket. 5/1 = 5
Problem 5
A gardener has 5 plants and wants to plant them in 1 row. How many plants will be in the row?
All 5 plants will be in the row.
Explanation
Divide total plants by the number of rows. 5/1 = 5
FAQs on Factors of -5
1.What are the factors of -5?
2.Mention the prime factors of -5.
3.Is -5 a multiple of 1?
4.Mention the factor pairs of -5?
5.What is the absolute value of -5?
6.How can children in Canada use numbers in everyday life to understand Factors of -5?
7.What are some fun ways kids in Canada can practice Factors of -5 with numbers?
8.What role do numbers and Factors of -5 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of -5 skills?
Important Glossaries for Factors of -5
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -5 are 1, -1, 5, and -5. Prime factors: The factors which are prime numbers. For example, 5 is a prime factor of -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 -5 are (1, -5) and (-1, 5). Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 5 is a prime number. Absolute value: The non-negative value of a number without regard to its sign. For example, the absolute value of -5 is 5.
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About BrightChamps in Canada
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.
Fun Fact
: She loves to read number jokes and games.
