226 LearnersLast updated on May 26th, 2025
Factors of 148
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 148 is an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 148?
Numbers or expressions which when multiplied together produce a given number are called factors.
Factors of 148– 1, 2, 4, 37, 74, 148.
Negative factors of 148 - -1, -2, -4, -37,- 74, -148.
Prime factorization of 148– 23 × 371
Sum of factors — 266
How to find the factors of 148?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication
Step 1: Find all pairs of numbers whose product is 148.
Step 2: All the pairs found represent the factors of 148.
148 is not a prime number. The pair of numbers whose product is 148 is;
1×148=148
2×74 = 148
4×37 = 148
The factors of 148 are 1,2,4,37,74,148.
Finding Factors by Division Method
Step 1: Start by dividing 148 with the smallest number, and check the remainders.
Step 2: 148 is not prime, therefore the divisors it has are 1,2,4,37,74,148. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 148 are 1,2,4,37,74 and 148.
Prime Factors and Prime Factorization
— 148 is not a prime number.
— The prime factorization of 148 is 2×37.
— Factors of 148 are 1,2,4,37,74 and 148.
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 148, only one branch will be extended, as the number is prime factorized as 2×37. 37 is a prime number and cannot be factored further.
Common Mistakes and How to Avoid Them in Factors of 148
We all make mistakes when it comes to finding factors, especially when it comes to numbers like 148. Don’t worry, it is a part of learning. Here are a few common slip-ups we may make, along with tips to avoid them.
Mistake 1
Excluding negative factors
Every positive factor has a corresponding negative factor. Often times, the negative factors are not included.
Factors of 148 Examples
Problem 1
Is 37 a factor of 148?
Divide 148 by 37:
148÷37=4 → This results in a whole number.
Since the result is whole and there’s no remainder, 37 is a factor of 148.
Explanation
To check if a number is a factor, simply divide the original number by it. If there’s no remainder (and you get a whole number), then that number is indeed a factor.
Problem 2
A farmer has 148 apples and wants to pack them into boxes. If each box can hold the same number of apples, what are the different numbers of apples he can put in each box?
From our previous work, we know the factors of 148 are: 1, 2, 4, 37, 74, 148.
This means the farmer can pack the apples in boxes containing 1, 2, 4, 37, 74, or 148 apples each.
Explanation
By finding the factors of 148, we determine all the possible ways the farmer can distribute his apples evenly into boxes. Each factor represents a different option for how many apples can fit in a box
Problem 3
If one of the factors of 148 is x, and the other factor is 74, what is the value of x?
Use the equation:
x×74=148
To find x, divide both sides by 74:
x=148/74=2
Explanation
In this case, we set up an equation where one factor is unknown. By isolating x, we can easily find it by dividing the total by the known factor.
FAQs on Factors of 148
1. What is the LCM of 30 and 48?
2. Is the cube root of 148 rational?
3. What are the multiples of 148?
4.Can 148 be divided by 2?
5.Is 148 a perfect square?
Important Glossaries for Factors of 148
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
Explore More numbers
Previous to Factors of 148
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.
