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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 3888, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 3888 evenly are known as factors of 3888.
A factor of 3888 is a number that divides the number without remainder.
The factors of 3888 include numbers like 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 324, 486, 648, 972, 1296, 1944, and 3888.
Negative factors of 3888: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -72, -81, -96, -108, -144, -162, -216, -243, -324, -486, -648, -972, -1296, -1944, and -3888.
Prime factors of 3888: 2 and 3.
Prime factorization of 3888: 25 × 35.
The sum of factors of 3888: 1 + 2 + 3 + ... + 3888.
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 3888. Identifying the numbers which are multiplied to get the number 3888 is the multiplication method.
Step 1: Multiply 3888 by 1, 3888 × 1 = 3888.
Step 2: Check for other numbers that give 3888 after multiplying.
For example: 2 × 1944 = 3888
3 × 1296 = 3888
4 × 972 = 3888
6 × 648 = 3888
Therefore, the positive factor pairs of 3888 include: (1, 3888), (2, 1944), (3, 1296), (4, 972), (6, 648), among others. 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 3888 by 1, 3888 ÷ 1 = 3888.
Step 2: Continue dividing 3888 by the numbers until the remainder becomes 0.
3888 ÷ 1 = 3888
3888 ÷ 2 = 1944
3888 ÷ 3 = 1296
3888 ÷ 4 = 972
3888 ÷ 6 = 648
Therefore, the factors of 3888 include numbers like 1, 2, 3, 4, 6, and many others.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 3888 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3888 ÷ 2 = 1944
1944 ÷ 2 = 972
972 ÷ 2 = 486
486 ÷ 2 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 3888 are 2 and 3.
The prime factorization of 3888 is: 2^5 × 3^5.
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 3888 is divided by 2 to get 1944.
Step 2: Now divide 1944 by 2 to get 972.
Step 3: Then divide 972 by 2 to get 486.
Step 4: Divide 486 by 2 to get 243.
Step 5: Divide 243 by 3 to get 81.
Step 6: Continue dividing by 3 until you reach 1. So, the prime factorization of 3888 is: 25 × 35.
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 3888: (1, 3888), (2, 1944), (3, 1296), (4, 972), (6, 648), among others.
Negative factor pairs of 3888: (-1, -3888), (-2, -1944), (-3, -1296), (-4, -972), (-6, -648), among others.
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 18 teams and 3888 points. How will they distribute the points equally?
They will get 216 points each.
To divide the points equally, we need to divide the total points by the number of teams. 3888 ÷ 18 = 216
A garden is square-shaped with a total area of 3888 square meters. Find the length of each side of the garden.
62.36 meters.
To find the length of each side of the garden, we use the formula, Area = side × side 3888 = side² To find the value of side, we find the square root of 3888. √3888 ≈ 62.36
A company has 81 employees and 3888 tasks. How many tasks will each employee complete?
Each employee will complete 48 tasks.
To find the tasks each employee will complete, divide the total tasks by the number of employees. 3888 ÷ 81 = 48
A concert has 3888 seats, and there are 54 sections. How many seats are there in each section?
There are 72 seats in each section.
Dividing the total seats by the number of sections, we will get the number of seats in each section. 3888 ÷ 54 = 72
3888 books need to be organized in 108 shelves. How many books will go on each shelf?
Each of the shelves has 36 books.
Divide the total books by the number of shelves. 3888 ÷ 108 = 36
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.