125 LearnersLast updated on June 9th, 2025
Factors of 1492
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1492, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1492?
The numbers that divide 1492 evenly are known as factors of 1492.
A factor of 1492 is a number that divides the number without remainder.
The factors of 1492 are 1, 2, 4, 373, 746, and 1492.
Negative factors of 1492: -1, -2, -4, -373, -746, and -1492.
Prime factors of 1492: 2 and 373.
Prime factorization of 1492: 2 × 2 × 373.
The sum of factors of 1492: 1 + 2 + 4 + 373 + 746 + 1492 = 2618
How to Find Factors of 1492?
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 1492. Identifying the numbers which are multiplied to get the number 1492 is the multiplication method.
Step 1: Multiply 1492 by 1, 1492 × 1 = 1492.
Step 2: Check for other numbers that give 1492 after multiplying
2 × 746 = 1492
4 × 373 = 1492
Therefore, the positive factor pairs of 1492 are: (1, 1492), (2, 746), (4, 373).
All these factor pairs result in 1492.
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 a simple division method
Step 1: Divide 1492 by 1, 1492 ÷ 1 = 1492.
Step 2: Continue dividing 1492 by the numbers until the remainder becomes 0.
1492 ÷ 1 = 1492
1492 ÷ 2 = 746
1492 ÷ 4 = 373
Therefore, the factors of 1492 are: 1, 2, 4, 373, 746, 1492.
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 1492 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1492 ÷ 2 = 746
746 ÷ 2 = 373
373 is a prime number.
The prime factors of 1492 are 2 and 373.
The prime factorization of 1492 is: 2 × 2 × 373.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1492 is divided by 2 to get 746.
Step 2: Now divide 746 by 2 to get 373.
Step 3: 373 is a prime number, that cannot be divided anymore. So, the prime factorization of 1492 is: 2 × 2 × 373.
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 1492: (1, 1492), (2, 746), (4, 373).
Negative factor pairs of 1492: (-1, -1492), (-2, -746), (-4, -373).
Common Mistakes and How to Avoid Them in Factors of 1492
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 1492, 1 and 1492 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1492 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes erroneously include fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1492/1.5 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 1492 are prime numbers.
For example, 2 and 373 are the prime factors of 1492, but it has other factors like 4, 746.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1492 as 2 × 2 × 373 and missing all the key factors.
Factors of 1492 Examples
Problem 1
If a group of 4 friends wants to share a collection of 1492 beads equally, how many beads will each friend receive?
Each friend will receive 373 beads.
Explanation
To divide the beads equally, divide the total number of beads by the number of friends.
1492/4 = 373
Problem 2
A rectangular garden has a length of 746 meters and an area of 1492 square meters. What is the width of the garden?
The width is 2 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1492 = 746 × width
To find the width, divide the area by the length.
1492/746 = width
Width = 2.
Problem 3
A school has 2 buses and 1492 students. How many students can each bus carry if they are divided equally?
Each bus can carry 746 students.
Explanation
To find the number of students per bus, divide the total number of students by the number of buses.
1492/2 = 746
Problem 4
A large event has 1492 chairs arranged equally in 373 rows. How many chairs are in each row?
Each row has 4 chairs.
Explanation
To find the number of chairs per row, divide the total number of chairs by the number of rows.
1492/373 = 4
Problem 5
A shipment contains 1492 items, which need to be packed into boxes of 2 items each. How many boxes will be needed?
746 boxes will be needed.
Explanation
Divide the total number of items by the number of items per box.
1492/2 = 746
FAQs on Factors of 1492
1.What are the factors of 1492?
2.Mention the prime factors of 1492.
3.Is 1492 a multiple of 4?
4.Mention the factor pairs of 1492?
5.What is the square of 1492?
Important Glossaries for Factor of 1492
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1492 are 1, 2, 4, 373, 746, and 1492.
- Prime factors: The factors which are prime numbers. For example, 2 and 373 are prime factors of 1492.
- 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 1492 are (1, 1492), (2, 746), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1492 is 2 × 2 × 373.
- Multiples: A number is a multiple of another when it can be divided by that number without a remainder. For example, 1492 is a multiple of 4.
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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.
