278 LearnersLast updated on May 26th, 2025
Factors of 128
Do you know how number tricks work? Most of the number tricks work because of the unique characteristics of each number, i.e., factors. A factor of a number is any number that can evenly divide the number. For distributing objects, we use factors in our daily life.
What are the factors of 128.
The numbers which can evenly divide 128 are the factors of 128. 1, 2, 4, 8, 16, 32, 64, and 128 are the factors of 128.
Negative factors of 128:
The negative factors of 128 are the negative counterparts of the positive factors. -1, -2, -4, -8, -16, -32, -64, and -128 are the negative factors of 128.
Prime factors of 128:
A prime number is a number which has only two factors, i.e., 1 and the number itself.
2 is the prime factor of 128.
Prime factorization of 128:
The process of splitting a number into smaller prime numbers is prime factorization. Here, the product of prime numbers is the number itself.
The prime factorization of 128 is 27
How to find the factors of 128
Factors of a number is a number which can evenly divide the number. Some methods which are used to find the factor of a 128 are,
- Multiplication method
- Division method
- Prime factors and prime factorization
- Factor tree
Finding factors using multiplication method:
In the multiplication method a pair of numbers are identified, the product of multiplying the number is 128.
Step 1: Find the numbers whose product is 128.
- 1 × 128 = 128
- 2 × 64 = 128
- 4 × 32 = 128
- 8 × 16 = 128
Step 2: List them as pairs
The pair of factors are (1, 128), (2, 64), (4, 32), (8, 16).
Finding factors by division method
In the division method, we need to check which number can evenly divide 128.
Let’s check the factors of 128 using division method
128 ÷ 1 = 128
128 ÷ 2 = 64
128 ÷ 4 = 32
128 ÷ 8 = 16
So, the factors are 1, 2, 4, 8, 16, 32, 64, and 128.
Prime numbers are the numbers which have only two factors. The process of breaking down a large number into a smaller prime number is prime factorization.
To find the factors of a number prime factorization, we need to follow these steps
Step 1: The given number needs to be divided with the smallest prime number.
Step 2: Now, we need to divide the remainder in step 1 with the prime number. The process is continued till the remainder is a prime number.
Let's use the prime factorization method to find the factors of 128.
The prime factor of 128 is 2.
2, 3, 5, 7, 11, 13, 17,… are the prime numbers.
Step 1: Checking the divisibility by 2: 128 is an even number, so, divisible by 2.
128 ÷ 2 = 64
Step 2: Now, the remainder is 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
Step 3: Now, the remainder is 2 which is a prime number.
So, the factors of 128 are 1, 2, 4, 8, 16, 32, 64, and 128.
Factor tree
The Pictorial representation of factors of a number. It is in the form of a tree where the given number is split into branches which represent all the factors.
The factor tree of 128:
Factor pair
A pair of factors of a number. The product of those numbers is the number itself. Factor pairs can be both positive and negative.
Positive pair factors: (1, 128), (2, 64), (4, 32), (8, 16).
Negative pair factors: (-1, -128), (-2,-64), (-4, -32), (-8, -16).
Common mistakes and how to avoid them in factors of 128
While finding the factors of any numbers, students tend to make mistakes. Mostly they tend to repeat the same error. Here is a list of some common mistakes and the ways to avoid them.
Mistake 1
Errors in division
Kids tend to make errors in division, to avoid it we need to recheck the calculations. And we need to verify the answer.
Factors of 128 examples
Problem 1
Calculate the LCM of 128 and 126
The LCM is 8064
Explanation
The product of the highest power of each prime number is the LCM of the numbers.
Prime factorization of 128 is 27 and 32 × 71.
So the LCM of 126 and 128 is 27 × 32 × 71 = 128 × 9 ×7 = 8064.
Problem 2
What is the sum of the factors of 128?
The sum of the factors is 255.
Explanation
The factors 128 are 1, 2, 4, 8, 16, 32, 64, and 128. The sum of the factors are 1 + 2 + 4 + 8 + 16 + 32 +64 + 128 = 255.
Problem 3
What are the common factors of 128 and 228?
The common factors are 1, 2, and 4.
Explanation
After listing the factors of 128 and 228, let's list the common factors. 1, 2, 4, 8, 16, 32, 64, and 128 are the factors of 128, and 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, and 228 are the factors of 228. So, the common factors are 1, 2, and 4.
Problem 4
Calculate the GCF of 128 and 250
The GCF of 128 and 250 is 2
Explanation
To find the GCF of 128 and 250, prime factorization is the method used. The prime factorization of 128 is 27 and 21 × 53 is the prime factorization of 250. Here, the common factor is 2 so the GCF of 128 and 250 is 2.
FAQs on factors of 128.
1.What is the factor tree of 128?
2.What are the multiples of 128
3.Check if 128 is a perfect square.
4.List the factors of 16 and 128.
5.How can children in United States use numbers in everyday life to understand Factors of 128?
6.What are some fun ways kids in United States can practice Factors of 128 with numbers?
7.What role do numbers and Factors of 128 play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve Factors of 128 skills?
Important glossaries for factors of 128
- Prime number: Any numbers which has only two factors are the prime numbers
- Composite numbers: The number which has more than two factors
- Remainder: The value left after dividing a number by another number. For example, 1 is the remainder when we divide 5 by 2.
- Product: The product of any number is the result of multiplying the number.
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About BrightChamps in United States
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.
