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 4400, how they are used in real life, and tips to learn them quickly.
The numbers that divide 4400 evenly are known as factors of 4400.
A factor of 4400 is a number that divides the number without remainder.
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, and 4400.
Negative factors of 4400: -1, -2, -4, -5, -8, -10, -11, -20, -22, -25, -40, -44, -50, -55, -80, -88, -100, -110, -200, -220, -275, -400, -440, -550, -880, -1100, -2200, and -4400.
Prime factors of 4400: 2, 5, and 11.
Prime factorization of 4400: 24 × 52 × 11.
The sum of factors of 4400: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 80 + 88 + 100 + 110 + 200 + 220 + 275 + 400 + 440 + 550 + 880 + 1100 + 2200 + 4400 = 13312
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 4400. Identifying the numbers which are multiplied to get the number 4400 is the multiplication method.
Step 1: Multiply 4400 by 1, 4400 × 1 = 4400.
Step 2: Check for other numbers that give 4400 after multiplying
2 × 2200 = 4400
4 × 1100 = 4400
5 × 880 = 4400
8 × 550 = 4400
10 × 440 = 4400
11 × 400 = 4400
20 × 220 = 4400
22 × 200 = 4400
25 × 176 = 4400
40 × 110 = 4400
44 × 100 = 4400
50 × 88 = 4400
55 × 80 = 4400
Therefore, the positive factor pairs of 4400 are: (1, 4400), (2, 2200), (4, 1100), (5, 880), (8, 550), (10, 440), (11, 400), (20, 220), (22, 200), (25, 176), (40, 110), (44, 100), (50, 88), (55, 80).
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 the simple division method
Step 1: Divide 4400 by 1, 4400 ÷ 1 = 4400.
Step 2: Continue dividing 4400 by the numbers until the remainder becomes 0.
4400 ÷ 1 = 4400
4400 ÷ 2 = 2200
4400 ÷ 4 = 1100
4400 ÷ 5 = 880
4400 ÷ 8 = 550
4400 ÷ 10 = 440
4400 ÷ 11 = 400
4400 ÷ 20 = 220
4400 ÷ 22 = 200
4400 ÷ 25 = 176
4400 ÷ 40 = 110
4400 ÷ 44 = 100
4400 ÷ 50 = 88
4400 ÷ 55 = 80
Therefore, the factors of 4400 are: 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, and 4400.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 4400 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
4400 ÷ 2 = 2200
2200 ÷ 2 = 1100
1100 ÷ 2 = 550
550 ÷ 2 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 4400 are 2, 5, and 11.
The prime factorization of 4400 is: 24 × 52 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 4400 is divided by 2 to get 2200.
Step 2: Now divide 2200 by 2 to get 1100.
Step 3: Then divide 1100 by 2 to get 550.
Step 4: Divide 550 by 2 to get 275.
Step 5: Divide 275 by 5 to get 55.
Step 6: Divide 55 by 5 to get 11.
Step 7: Divide 11 by 11 to get 1. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4400 is: 24 × 52 × 11.
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 4400: (1, 4400), (2, 2200), (4, 1100), (5, 880), (8, 550), (10, 440), (11, 400), (20, 220), (22, 200), (25, 176), (40, 110), (44, 100), (50, 88), (55, 80).
Negative factor pairs of 4400: (-1, -4400), (-2, -2200), (-4, -1100), (-5, -880), (-8, -550), (-10, -440), (-11, -400), (-20, -220), (-22, -200), (-25, -176), (-40, -110), (-44, -100), (-50, -88), (-55, -80).
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 10 people and 4400 candies. How will they divide it equally?
They will get 440 candies each.
To divide the candies equally, we need to divide the total candies with the number of people.
4400/10 = 440
A hall is rectangular, the length of the hall is 50 meters and the total area is 4400 square meters. Find the width?
88 meters.
To find the width of the hall, we use the formula, Area = length × width
4400 = 50 × width
To find the value of width, we need to shift 50 to the left side.
4400/50 = width
Width = 88.
There are 20 boxes and 4400 marbles. How many marbles will be in each box?
Each box will have 220 marbles.
To find the marbles in each box, divide the total marbles by the boxes.
4400/20 = 220
In a concert, there are 4400 attendees, and 11 sections. How many attendees are there in each section?
There are 400 attendees in each section.
Dividing the attendees with the total sections, we will get the number of attendees in each section.
4400/11 = 400
4400 stickers need to be arranged in 40 albums. How many stickers will go on each album?
Each of the albums has 110 stickers.
Divide total stickers with albums.
4400/40 = 110
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.