101 LearnersLast updated on May 26th, 2025
Factors of 46656
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 46656, how they are used in real life, and tips to learn them quickly.
What are the Factors of 46656?
The numbers that divide 46656 evenly are known as factors of 46656.
A factor of 46656 is a number that divides the number without remainder.
The factors of 46656 are many, and its prime factors are specifically 2 and 3.
Negative factors of 46656 include negatives of all positive factors.
Prime factors of 46656: 2 and 3.
Prime factorization of 46656: 26 × 36.
How to Find Factors of 46656?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 46656. Identifying the numbers which are multiplied to get the number 46656 is the multiplication method.
Step 1: Multiply 46656 by 1, 46656 × 1 = 46656.
Step 2: Check for other numbers that give 46656 after multiplying:
- 2 × 23328 = 46656
- 4 × 11664 = 46656
- 6 × 7776 = 46656
- 8 × 5832 = 46656
- 9 × 5184 = 46656
Therefore, the positive factor pairs of 46656 include: (1, 46656), (2, 23328), (4, 11664), (6, 7776), (8, 5832), and others. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 this simple division method:
Step 1: Divide 46656 by 1, 46656 ÷ 1 = 46656.
Step 2: Continue dividing 46656 by the numbers until the remainder becomes 0.
46656 ÷ 1 = 46656
46656 ÷ 2 = 23328
46656 ÷ 3 = 15552 ...
Therefore, the factors of 46656 include: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 729, 972, 1296, 1458, 1944, 2916, 3888, 4374, 5832, 6561, 8748, 11664, 13122, 17496, 23328, and 46656.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 46656 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
46656 ÷ 2 = 23328
23328 ÷ 2 = 11664
11664 ÷ 2 = 5832
5832 ÷ 2 = 2916
2916 ÷ 2 = 1458
1458 ÷ 2 = 729
729 ÷ 3 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 46656 are 2 and 3.
The prime factorization of 46656 is: 26 × 36.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 46656 is divided by 2 to get 23328.
Step 2: Now divide 23328 by 2 to get 11664.
Step 3: Then divide 11664 by 2 to get 5832.
Step 4: Continue this process until you reach a prime number. In this case, you will reach 3, which cannot be divided further by 2. So, the prime factorization of 46656 is: 26 × 36.
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 46656: (1, 46656), (2, 23328), (3, 15552), (4, 11664), (6, 7776), (8, 5832), and so forth.
Negative factor pairs of 46656: (-1, -46656), (-2, -23328), (-3, -15552), (-4, -11664), (-6, -7776), (-8, -5832), and so forth.
Common Mistakes and How to Avoid Them in Factors of 46656
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 46656, 1 and 46656 are also factors.
Factors of 46656 Examples
Problem 1
There are 12 students and 46656 pages. How will they distribute the pages equally?
They will get 3888 pages each.
Explanation
To distribute the pages equally, divide the total pages by the number of students.
46656/12 = 3888
Problem 2
A storage area is rectangular, with a length of 972 meters and a total area of 46656 square meters. Find the width.
The width is 48 meters.
Explanation
To find the width, use the formula:
Area = length × width
46656 = 972 × width
To find the width, divide the area by the length.
46656/972 = width
Width = 48
Problem 3
There are 18 crates and 46656 apples. How many apples will be in each crate?
Each crate will have 2592 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
46656/18 = 2592
Problem 4
In a classroom, there are 36 students and 46656 assignments. How many assignments are there per student?
There are 1296 assignments per student.
Explanation
Dividing the total assignments by the number of students will give the number of assignments per student.
46656/36 = 1296
Problem 5
46656 books need to be arranged in 72 shelves. How many books will go on each shelf?
Each shelf has 648 books.
Explanation
Divide the total books by the number of shelves.
46656/72 = 648
FAQs on Factors of 46656
1.What are the factors of 46656?
2.Mention the prime factors of 46656.
3.Is 46656 a multiple of 9?
4.Mention the factor pairs of 46656.
5.What is the cube of 36?
6.How can children in Singapore use numbers in everyday life to understand Factors of 46656?
7.What are some fun ways kids in Singapore can practice Factors of 46656 with numbers?
8.What role do numbers and Factors of 46656 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 46656 skills?
Important Glossaries for Factors of 46656
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 46656 include 1, 2, 3, 4, and others.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 46656.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 46656 is 26 × 36.
- 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 46656 include (1, 46656), (2, 23328), and others.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 46656 is a multiple of 9.
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About BrightChamps in Singapore
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.
