130 LearnersLast updated on May 26th, 2025
Factors of -46
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 -46, how they are used in real life, and tips to learn them quickly.
What are the Factors of -46?
The numbers that divide -46 evenly are known as factors of -46.
A factor of -46 is a number that divides the number without remainder.
The factors of 46 (ignoring the sign) are 1, 2, 23, and 46.
Thus, the factors of -46 include both positive and negative factors: 1, -1, 2, -2, 23, -23, 46, and -46.
Prime factors of 46: 2 and 23.
Prime factorization of 46: 2 × 23.
The sum of factors of 46: 1 + 2 + 23 + 46 = 72
How to Find Factors of -46?
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 46. Identifying the numbers which are multiplied to get 46 is the multiplication method.
Step 1: Multiply 46 by 1, 46 × 1 = 46.
Step 2: Check for other numbers that give 46 after multiplying: 2 × 23 = 46
Therefore, the positive factor pairs of 46 are: (1, 46) and (2, 23).
For every positive factor, there is a corresponding negative factor.
Finding Factors Using Division Method
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 46 by 1, 46 ÷ 1 = 46.
Step 2: Continue dividing 46 by the numbers until the remainder becomes 0.
46 ÷ 1 = 46
46 ÷ 2 = 23
Therefore, the factors of 46 are: 1, 2, 23, and 46, including their negative counterparts for -46.
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 46 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
46 ÷ 2 = 23
23 ÷ 23 = 1
The prime factors of 46 are 2 and 23.
The prime factorization of 46 is: 2 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 46 is divided by 2 to get 23.
Step 2: Now divide 23 by 23 to get 1. So, the prime factorization of 46 is: 2 × 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 46: (1, 46) and (2, 23).
Negative factor pairs of -46: (-1, -46) and (-2, -23).
Common Mistakes and How to Avoid Them in Factors of -46
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 46, 1 and 46 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 -46 include -1, -2, -23, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 3.5 as a factor, because 46/3.5 ≈ 13.143, 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 46 are prime numbers.
For example, 2 and 23 are the prime factors of 46, but it has other factors like 1 and 46.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 46 as 2 × 23 and missing all the key factors.
Factors of -46 Examples
Problem 1
There are 23 students and -46 apples. How will they divide the apples equally among the students?
Each student will get -2 apples (conceptually represents a debt or deficit of apples).
Explanation
To divide the apples equally, we need to divide the total apples with the number of students.
-46/23 = -2
Problem 2
A debt is represented as -46 dollars, paid back equally over 2 months. How much is paid back each month?
-23 dollars (conceptually represents paying back 23 dollars each month).
Explanation
To find the amount paid back each month, divide the total debt by the number of months.
-46/2 = -23
Problem 3
If a temperature change is represented as -46 degrees over 23 hours, what is the average temperature change per hour?
-2 degrees per hour.
Explanation
To find the average temperature change per hour, divide the total change by the number of hours.
-46/23 = -2
Problem 4
A submarine descends -46 meters over 2 minutes. How many meters does it descend per minute?
-23 meters per minute.
Explanation
Dividing the total descent by the number of minutes gives the descent per minute.
-46/2 = -23
Problem 5
An elevator lowers -46 floors in 46 seconds. How many floors does it descend per second?
-1 floor per second.
Explanation
Divide the total number of floors by time in seconds.
-46/46 = -1
FAQs on Factors of -46
1.What are the factors of -46?
2.Mention the prime factors of 46.
3.Is -46 a multiple of 2?
4.Mention the factor pairs of -46.
5.What is the absolute value of -46?
6.How can children in Philippines use numbers in everyday life to understand Factors of -46?
7.What are some fun ways kids in Philippines can practice Factors of -46 with numbers?
8.What role do numbers and Factors of -46 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of -46 skills?
Important Glossaries for Factors of -46
- Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -46 are 1, -1, 2, -2, 23, -23, 46, and -46.
- Prime factors: Factors that are prime numbers. For example, 2 and 23 are prime factors of 46.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, for 46, the factor pairs are (1, 46) and (2, 23).
- Absolute value: The non-negative value of a number. For example, the absolute value of -46 is 46.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in Philippines
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.
