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 994, how they are used in real life, and tips to learn them quickly.
The numbers that divide 994 evenly are known as factors of 994.
A factor of 994 is a number that divides the number without remainder.
The factors of 994 are 1, 2, 497, and 994.
Negative factors of 994: -1, -2, -497, and -994.
Prime factors of 994: 2 and 497.
Prime factorization of 994: 2 × 497.
The sum of factors of 994: 1 + 2 + 497 + 994 = 1494
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 994. Identifying the numbers which are multiplied to get the number 994 is the multiplication method.
Step 1: Multiply 994 by 1, 994 × 1 = 994.
Step 2: Check for other numbers that give 994 after multiplying 2 × 497 = 994 Therefore, the positive factor pairs of 994 are: (1, 994), (2, 497). For every positive factor, there is a negative factor.
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 994 by 1, 994 ÷ 1 = 994.
Step 2: Continue dividing 994 by the numbers until the remainder becomes 0.
994 ÷ 1 = 994
994 ÷ 2 = 497
Therefore, the factors of 994 are: 1, 2, 497, 994.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 994 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 994 ÷ 2 = 497
Since 497 is a prime number, the process stops here.
The prime factors of 994 are 2 and 497.
The prime factorization of 994 is: 2 × 497.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 994 is divided by 2 to get 497. Here, 497 is a prime number and cannot be divided anymore. So, the prime factorization of 994 is: 2 × 497.
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 2 teams and 994 points. How will they divide the points equally?
They will get 497 points each.
To divide the points equally, we need to divide the total points by the number of teams.
994/2 = 497
A rectangular field has a perimeter of 994 meters. If the length is 497 meters, find the width.
0 meters.
Since the length already accounts for half the perimeter, the width must be 0 to maintain the given perimeter.
Perimeter = 2(length + width)
994 = 2(497 + width)
994 = 994 + 2(width)
Width = 0.
There are 994 apples, and each box can hold 2 apples. How many boxes are needed?
497 boxes are needed.
To find the number of boxes, divide the total apples by the capacity of each box.
994/2 = 497
A company ordered 994 desks, and they need to be arranged into 2 equal storage rooms. How many desks will each room hold?
Each room will hold 497 desks.
Dividing the desks by the number of rooms, we will get the number of desks in each room.
994/2 = 497
994 pages need to be printed equally over 2 printers. How many pages will each printer print?
Each printer will print 497 pages.
Divide the total pages by the number of printers.
994/2 = 497
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.