101 LearnersLast updated on May 26th, 2025
Factors of 754
Factors are the numbers that divide any 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 754, how they are used in real life, and tips to learn them quickly.
What are the Factors of 754?
The numbers that divide 754 evenly are known as factors of 754.
A factor of 754 is a number that divides the number without a remainder.
The factors of 754 are 1, 2, 377, and 754.
Negative factors of 754: -1, -2, -377, and -754.
Prime factors of 754: 2 and 377.
Prime factorization of 754: 2 × 377.
The sum of factors of 754: 1 + 2 + 377 + 754 = 1134
How to Find Factors of 754?
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 754. Identifying the numbers which are multiplied to get the number 754 is the multiplication method.
Step 1: Multiply 754 by 1, 754 × 1 = 754.
Step 2: Check for other numbers that give 754 after multiplying
2 × 377 = 754
Therefore, the positive factor pairs of 754 are: (1, 754) and (2, 377).
All these factor pairs result in 754.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 754 by 1, 754 ÷ 1 = 754.
Step 2: Continue dividing 754 by the numbers until the remainder becomes 0.
754 ÷ 1 = 754
754 ÷ 2 = 377
Therefore, the factors of 754 are: 1, 2, 377, 754.
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 754 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
754 ÷ 2 = 377
377 ÷ 377 = 1
The prime factors of 754 are 2 and 377.
The prime factorization of 754 is: 2 × 377.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 754 is divided by 2 to get 377.
Step 2: Now divide 377 by 377 to get 1.
The prime factorization of 754 is: 2 × 377.
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 754: (1, 754) and (2, 377).
Negative factor pairs of 754: (-1, -754) and (-2, -377).
Common Mistakes and How to Avoid Them in Factors of 754
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 754, 1 and 754 is also a factor.
Factors of 754 Examples
Problem 1
There are 2 teams and 754 points. How will they divide it equally?
They will get 377 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
754/2 = 377
Problem 2
A piece of fabric is 754 meters long. If it is cut into 2 equal pieces, how long is each piece?
Each piece is 377 meters long.
Explanation
To find the length of each piece, divide the total length by 2.
754/2 = 377
Problem 3
There are 377 chairs and 2 rooms. How many chairs will be in each room?
Each room will have 188.5 chairs (note: this is not a practical division and highlights a potential error in understanding factorization).
Explanation
To find the chairs in each room, divide the total chairs by the number of rooms.
377/2 = 188.5 (This division indicates that 377 cannot be evenly divided by 2, and 377 is a factor of itself.)
Problem 4
A garden is irrigated with 754 liters of water equally distributed over 2 days. How many liters are used each day?
377 liters are used each day.
Explanation
Dividing the water with the total days will give the amount used per day.
754/2 = 377
Problem 5
754 apples are packed into 377 baskets. How many apples will go in each basket?
Each basket has 2 apples.
Explanation
Divide the total apples by the number of baskets.
754/377 = 2
FAQs on Factors of 754
1.What are the factors of 754?
2.Mention the prime factors of 754.
3.Is 754 a multiple of 2?
4.Mention the factor pairs of 754?
5.What is the square of 754?
6.How can children in Philippines use numbers in everyday life to understand Factors of 754?
7.What are some fun ways kids in Philippines can practice Factors of 754 with numbers?
8.What role do numbers and Factors of 754 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 754 skills?
Important Glossaries for Factor of 754
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 754 are 1, 2, 377, and 754.
- Prime factors: The factors which are prime numbers. For example, 2 and 377 are prime factors of 754.
- 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 754 are (1, 754) and (2, 377).
- Multiplication Method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Prime Factorization: The process of breaking down a number into its prime factors, such as 754 = 2 × 377.
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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.
