123 LearnersLast updated on June 9th, 2025
Factors of 1496
Factors are the numbers that divide any given number evenly without 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 1496, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1496?
The numbers that divide 1496 evenly are known as factors of 1496.
A factor of 1496 is a number that divides the number without remainder.
The factors of 1496 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 748, and 1496.
Negative factors of 1496: -1, -2, -4, -8, -11, -22, -23, -44, -46, -88, -92, -184, -253, -506, -748, and -1496.
Prime factors of 1496: 2, 11, and 23.
Prime factorization of 1496: 2³ × 11 × 23.
The sum of factors of 1496: 1 + 2 + 4 + 8 + 11 + 22 + 23 + 44 + 46 + 88 + 92 + 184 + 253 + 506 + 748 + 1496 = 3528
How to Find Factors of 1496?
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 1496. Identifying the numbers which are multiplied to get the number 1496 is the multiplication method.
Step 1: Multiply 1496 by 1, 1496 × 1 = 1496.
Step 2: Check for other numbers that give 1496 after multiplying
2 × 748 = 1496
4 × 374 = 1496
8 × 187 = 1496
11 × 136 = 1496
22 × 68 = 1496
23 × 65 = 1496
Therefore, the positive factor pairs of 1496 are: (1, 1496), (2, 748), (4, 374), (8, 187), (11, 136), (22, 68), (23, 65).
All these factor pairs result in 1496.
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 simple division method
Step 1: Divide 1496 by 1, 1496 ÷ 1 = 1496.
Step 2: Continue dividing 1496 by the numbers until the remainder becomes 0.
1496 ÷ 1 = 1496
1496 ÷ 2 = 748
1496 ÷ 4 = 374
1496 ÷ 8 = 187
1496 ÷ 11 = 136
1496 ÷ 22 = 68
1496 ÷ 23 = 65
Therefore, the factors of 1496 are: 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 748, 1496.
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 1496 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1496 ÷ 2 = 748
748 ÷ 2 = 374
374 ÷ 2 = 187
187 ÷ 11 = 17
17 ÷ 17 = 1
The prime factors of 1496 are 2, 11, and 17.
The prime factorization of 1496 is: 2³ × 11 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1496 is divided by 2 to get 748.
Step 2: Now divide 748 by 2 to get 374.
Step 3: Then divide 374 by 2 to get 187.
Step 4: Divide 187 by 11 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1496 is: 2³ × 11 × 17.
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 1496: (1, 1496), (2, 748), (4, 374), (8, 187), (11, 136), (22, 68), and (23, 65).
Negative factor pairs of 1496: (-1, -1496), (-2, -748), (-4, -374), (-8, -187), (-11, -136), (-22, -68), and (-23, -65).
Common Mistakes and How to Avoid Them in Factors of 1496
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 1496, 1 and 1496 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 1496 consist of -1, -2, -4, 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 1496/1.5 = 997.333, 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 1496 are prime numbers.
For example, 2, 11, and 17 are the prime factors of 1496, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 1496 as 2³ × 11 × 17 and missing all the key factors.
Factors of 1496 Examples
Problem 1
There are 11 friends and 1496 marbles. How will they divide them equally?
They will get 136 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1496/11 = 136
Problem 2
A garden is rectangular, the length of the garden is 23 meters and the total area is 1496 square meters. Find the width?
65 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1496 = 23 × width
To find the value of width, we need to shift 23 to the left side.
1496/23 = width
Width = 65.
Problem 3
There are 4 baskets and 1496 apples. How many apples will be in each basket?
Each basket will have 374 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1496/4 = 374
Problem 4
In a class, there are 92 students, and 8 groups. How many students are there in each group?
There are 11 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
92/8 = 11
Problem 5
1496 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 65 books.
Explanation
Divide total books by shelves.
1496/23 = 65
FAQs on Factors of 1496
1.What are the factors of 1496?
2.Mention the prime factors of 1496.
3.Is 1496 a multiple of 4?
4.Mention the factor pairs of 1496?
5.What is the square of 1496?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1496?
7.What are some fun ways kids in Qatar can practice Factors of 1496 with numbers?
8.What role do numbers and Factors of 1496 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1496 skills?
Important Glossaries for Factor of 1496
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1496 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 748, and 1496.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 17 are prime factors of 1496.
- 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 1496 are (1, 1496), (2, 748), etc.
- Prime factorization: The representation of a number as the product of its prime factors. For instance, the prime factorization of 1496 is 2³ × 11 × 17.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1496 is a multiple of 4.
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About BrightChamps in Qatar
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.
