102 LearnersLast updated on May 26th, 2025
Factors of 1064
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 1064, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1064?
The numbers that divide 1064 evenly are known as factors of 1064.
A factor of 1064 is a number that divides the number without remainder.
The factors of 1064 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 532, and 1064.
Negative factors of 1064: -1, -2, -4, -8, -11, -19, -22, -38, -44, -76, -88, -152, -209, -418, -532, and -1064.
Prime factors of 1064: 2 and 11, and 19.
Prime factorization of 1064: 2³ × 11 × 19.
The sum of factors of 1064: 1 + 2 + 4 + 8 + 11 + 19 + 22 + 38 + 44 + 76 + 88 + 152 + 209 + 418 + 532 + 1064 = 2690
How to Find Factors of 1064?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 1064. Identifying the numbers which are multiplied to get the number 1064 is the multiplication method.
Step 1: Multiply 1064 by 1, 1064 × 1 = 1064.
Step 2: Check for other numbers that give 1064 after multiplying
2 × 532 = 1064
4 × 266 = 1064
8 × 133 = 1064
11 × 96 = 1064
19 × 56 = 1064
22 × 48 = 1064
38 × 28 = 1064
Therefore, the positive factor pairs of 1064 are: (1, 1064), (2, 532), (4, 266), (8, 133), (11, 96), (19, 56), (22, 48), and (38, 28).
All these factor pairs result in 1064.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 1064 by 1, 1064 ÷ 1 = 1064.
Step 2: Continue dividing 1064 by the numbers until the remainder becomes 0.
1064 ÷ 1 = 1064
1064 ÷ 2 = 532
1064 ÷ 4 = 266
1064 ÷ 8 = 133
1064 ÷ 11 = 96
1064 ÷ 19 = 56
Therefore, the factors of 1064 are: 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 532, 1064.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 1064 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1064 ÷ 2 = 532
532 ÷ 2 = 266
266 ÷ 2 = 133
133 ÷ 11 = 19
19 ÷ 19 = 1
The prime factors of 1064 are 2, 11, and 19.
The prime factorization of 1064 is: 2³ × 11 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1064 is divided by 2 to get 532.
Step 2: Now divide 532 by 2 to get 266.
Step 3: Then divide 266 by 2 to get 133.
Step 4: Divide 133 by 11 to get 19.
Here, 19 is the smallest prime number, which cannot be divided anymore.
So, the prime factorization of 1064 is: 2³ × 11 × 19.
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 1064: (1, 1064), (2, 532), (4, 266), (8, 133), (11, 96), (19, 56), (22, 48), and (38, 28).
Negative factor pairs of 1064: (-1, -1064), (-2, -532), (-4, -266), (-8, -133), (-11, -96), (-19, -56), (-22, -48), and (-38, -28).
Common Mistakes and How to Avoid Them in Factors of 1064
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 the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1064, 1 and 1064 are also factors.
Factors of 1064 Examples
Problem 1
There are 532 apples and 2 baskets. How will they divide it equally?
They will get 266 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
532/2 = 266
Problem 2
A field is rectangular, the length of the field is 19 meters, and the total area is 1064 square meters. Find the width?
56 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1064 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1064/19 = width
Width = 56.
Problem 3
There are 22 bags and 1064 oranges. How many oranges will be in each bag?
Each bag will have 48 oranges.
Explanation
To find the oranges in each bag, divide the total oranges by the bags.
1064/22 = 48
Problem 4
In a class, there are 1064 students, and 38 groups. How many students are there in each group?
There are 28 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1064/38 = 28
Problem 5
1064 books need to be arranged in 152 shelves. How many books will go on each shelf?
Each shelf will have 7 books.
Explanation
Divide total books by shelves.
1064/152 = 7
FAQs on Factors of 1064
1.What are the factors of 1064?
2.Mention the prime factors of 1064.
3.Is 1064 a multiple of 4?
4.What are the factor pairs of 1064?
5.What is the square of 1064?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1064?
7.What are some fun ways kids in United Kingdom can practice Factors of 1064 with numbers?
8.What role do numbers and Factors of 1064 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1064 skills?
Important Glossaries for Factors of 1064
- Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 1064 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 532, and 1064.
- Prime factors: The factors that are prime numbers. For example, 2, 11, and 19 are prime factors of 1064.
- 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 1064 are (1, 1064), (2, 532), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1064 is 2³ × 11 × 19.
- Divisors: Numbers that divide another number thoroughly without leaving a remainder. For example, 1, 2, 4, 8, 11, 19, etc., are divisors of 1064.
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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
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