120 LearnersLast updated on June 4th, 2025
Factors of -37
Factors are numbers that divide a given number evenly without a 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 -37, how they are used in real life, and tips to learn them quickly.
What are the Factors of -37?
The numbers that divide -37 evenly are known as factors of -37.
A factor of -37 is a number that divides the number without remainder.
The factors of -37 are 1 and -37.
Negative factors of -37: -1 and 37.
Prime factors of -37: 37 (since -37 is negative, only 37 is considered).
The sum of factors of -37: 1 + (-37) = -36
How to Find Factors of -37?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -37.
Step 1: Multiply -37 by 1, -37 × 1 = -37.
Step 2: Check for other numbers that give -37 after multiplying There are no other integer pairs because -37 is a prime number.
Therefore, the positive factor pair of -37 is: (1, -37).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide -37 by 1, -37 ÷ 1 = -37.
Step 2: Since -37 is a prime number, it cannot be divided evenly by any other number except 1 and itself.
Therefore, the factors of -37 are: 1 and -37.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers.
Since -37 is a prime number, its only prime factor is 37.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors.
However, since -37 is already a prime number, it cannot be broken down further using a factor tree.
Common Mistakes and How to Avoid Them in Factors of -37
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
People might forget to consider the number itself and 1 as factors. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -37, 1 and -37 are factors.
Mistake 2
Missing Negative Factors
It's important to mention negative factors as well.
For example, the factors of -37 include -1 and 37.
Mistake 3
Including the Fraction
Only whole numbers can be factors.
For example, thinking a fraction like 1.5 is a factor because -37/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole number, not just primes.
For example, while 37 is a prime factor of -37, it also has other factors like 1 and -37.
Mistake 5
Mistake in Factorization
Since -37 is a prime number, it doesn't have a factorization other than 1 and -37. Avoid trying to break it into more factors.
Factors of -37 Examples
Problem 1
There are -37 apples and 1 basket. How many apples will be in each basket?
There will be -37 apples in the basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
-37/1 = -37
Problem 2
A store has -37 units of a product and sells them in packs of 1. How many packs can be made?
37 packs.
Explanation
To find the number of packs, divide the total units by the units per pack.
|-37||1| = 37
Problem 3
A teacher has 37 negative points to distribute among 1 student. How many points will each student receive?
Each student will receive -37 points.
Explanation
To distribute the points equally, divide the total points by the number of students.
37/-1 = -37
Problem 4
A company owes -37 dollars and wants to pay it off in one payment. How much will they pay?
They will pay -37 dollars.
Explanation
To pay off the debt in one payment, the total amount is divided by one payment.
-37/1 = -37
Problem 5
A game scores -37 points and the player wants to lose them in 1 round. How many points will they lose per round?
They will lose -37 points per round.
Explanation
To lose the points per round, divide the total points by the number of rounds.
-37/1 = -37
FAQs on Factors of -37
1.What are the factors of -37?
2.Mention the prime factors of -37.
3.Is 37 a multiple of any other number?
4.Mention the factor pairs of -37?
5.What is the absolute value of -37?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of -37?
7.What are some fun ways kids in United Kingdom can practice Factors of -37 with numbers?
8.What role do numbers and Factors of -37 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 -37 skills?
Important Glossaries for Factors of -37
- Factors: Numbers that divide a given number evenly without a remainder. For example, the factors of -37 are 1 and -37.
- Prime factors: The factors which are prime numbers. For example, 37 is the prime factor of -37.
- Factor pairs: Two numbers multiplied to give the original number. For example, the factor pairs of -37 are (1, -37) and (-1, 37).
- Absolute value: The non-negative value of a number without regard to its sign. For example, the absolute value of -37 is 37.
- Negative numbers: Numbers less than 0. For example, -37 is a negative 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.
