138 LearnersLast updated on May 26th, 2025
Factors of -58
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 -58, how they are used in real life, and the tips to learn them quickly.
What are the Factors of -58?
The numbers that divide -58 evenly are known as factors of -58.
A factor of -58 is a number that divides the number without remainder.
The factors of -58 are 1, 2, 29, and 58.
Negative factors of -58: -1, -2, -29, and -58.
Prime factors of -58: 2 and 29.
Prime factorization of 58: 2 × 29.
The sum of positive factors of 58: 1 + 2 + 29 + 58 = 90
How to Find Factors of -58?
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 58. Identifying the numbers which are multiplied to get the number 58 is the multiplication method.
Step 1: Multiply 58 by 1, 58 × 1 = 58.
Step 2: Check for other numbers that give 58 after multiplying 2 × 29 = 58
Therefore, the positive factor pairs of 58 are: (1, 58), (2, 29).
All these factor pairs result in 58.
For every positive factor, there is a negative factor.
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 a simple division method
Step 1: Divide 58 by 1, 58 ÷ 1 = 58.
Step 2: Continue dividing 58 by the numbers until the remainder becomes 0.
58 ÷ 1 = 58
58 ÷ 2 = 29
Therefore, the factors of 58 are: 1, 2, 29, 58.
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 58 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
58 ÷ 2 = 29
29 ÷ 29 = 1
The prime factors of 58 are 2 and 29. The prime factorization of 58 is: 2 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 58 is divided by 2 to get 29.
Step 2: Now divide 29 by itself to get 1. Here, 29 is a prime number and cannot be divided anymore.
So, the prime factorization of 58 is: 2 × 29.
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 58: (1, 58), (2, 29).
Negative factor pairs of -58: (-1, -58), (-2, -29).
Common Mistakes and How to Avoid Them in Factors of -58
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 58, 1 and 58 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, The factors of -58 consist of -1, -2, -29, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 58/1.5 = 38.666, 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 58 are prime numbers.
For example, 2 and 29 are the prime factors of 58, but it has other factors like 1, 58.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 58 as 2 × 29 and missing all the key factors.
Factors of -58 Examples
Problem 1
There are 58 candies to be packed in 2 bags. How many candies will go in each bag?
Each bag will have 29 candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of bags.
58/2 = 29
Problem 2
A rectangular garden has a width of 2 meters and a total area of 58 square meters. Find the length.
29 meters.
Explanation
To find the length of the garden, we use the formula, Area = length × width 58 = length × 2
To find the value of length, we need to shift 2 to the left side.
58/2 = length
Length = 29.
Problem 3
There are 29 students and 58 apples. How many apples will each student get if distributed equally?
Each student will get 2 apples.
Explanation
To find the apples each student will get, divide the total apples by the number of students.
58/29 = 2
Problem 4
A rope is 58 meters long and needs to be cut into 2 equal parts. How long will each part be?
Each part will be 29 meters long.
Explanation
Dividing the total length by 2 gives the length of each part.
58/2 = 29
Problem 5
58 flowers need to be arranged in 29 vases. How many flowers will go in each vase?
Each vase will have 2 flowers.
Explanation
Divide total flowers by vases.
58/29 = 2
FAQs on Factors of -58
1.What are the factors of -58?
2.Mention the prime factors of -58.
3.Is -58 a multiple of 2?
4.Mention the factor pairs of -58?
5.What is the absolute value of -58?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of -58?
7.What are some fun ways kids in United Kingdom can practice Factors of -58 with numbers?
8.What role do numbers and Factors of -58 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of -58 skills?
Important Glossaries for Factors of -58
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -58 are 1, 2, 29, and 58.
- Prime factors: The factors which are prime numbers. For example, 2 and 29 are prime factors of 58.
- 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 58 are (1, 58) and (2, 29).
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of -58 are -1, -2, -29, and -58.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to form the original number.
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About BrightChamps in United Kingdom
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.
