Last updated on May 26th, 2025
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 1498, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1498 evenly are known as factors of 1498.
A factor of 1498 is a number that divides the number without remainder.
The factors of 1498 are 1, 2, 749, and 1498.
Negative factors of 1498: -1, -2, -749, and -1498.
Prime factors of 1498: 2 and 749.
Prime factorization of 1498: 2 × 749.
The sum of factors of 1498: 1 + 2 + 749 + 1498 = 2250.
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1498. Identifying the numbers which are multiplied to get the number 1498 is the multiplication method.
Step 1: Multiply 1498 by 1, 1498 × 1 = 1498.
Step 2: Check for other numbers that give 1498 after multiplying:
2 × 749 = 1498
Therefore, the positive factor pairs of 1498 are: (1, 1498), (2, 749).
All these factor pairs result in 1498.
For every positive factor, there is a negative factor.
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 1498 by 1, 1498 ÷ 1 = 1498.
Step 2: Continue dividing 1498 by the numbers until the remainder becomes 0.
1498 ÷ 1 = 1498
1498 ÷ 2 = 749
Therefore, the factors of 1498 are: 1, 2, 749, 1498.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1498 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1498 ÷ 2 = 749
749 is a prime number and cannot be divided further.
The prime factors of 1498 are 2 and 749.
The prime factorization of 1498 is: 2 × 749.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1498 is divided by 2 to get 749.
Step 2: 749 is prime and cannot be divided further. So, the prime factorization of 1498 is: 2 × 749.
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 1498: (1, 1498), (2, 749).
Negative factor pairs of 1498: (-1, -1498), (-2, -749).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A gardener has 1498 plants and 2 sections in the garden. How many plants will be in each section?
Each section will have 749 plants.
To divide the plants equally, we need to divide the total plants by the number of sections.
1498/2 = 749
A hall can hold 1498 chairs in 2 rows. How many chairs are in each row?
Each row has 749 chairs.
To find the number of chairs in each row, divide the total number of chairs by the number of rows.
1498/2 = 749
There are 1498 candies and 1 jar. How many candies will be in the jar?
The jar will have 1498 candies.
Since there is only one jar, all candies go into it.
1498/1 = 1498
A store has 2 large boxes containing a total of 1498 items. How many items are in each box?
Each box contains 749 items.
Divide the total items by the number of boxes to find how many items per box.
1498/2 = 749
There are 1498 seats in a theater and 1 show. How many seats are available per show?
All 1498 seats are available per show.
Since there is only one show, all seats are available for it.
1498/1 = 1498
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.
: She loves to read number jokes and games.