132 LearnersLast updated on May 26th, 2025
Factors of 1573
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 1573, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1573?
The numbers that divide 1573 evenly are known as factors of 1573. A factor of 1573 is a number that divides the number without remainder. The factors of 1573 are 1 and 1573.
Negative factors of 1573: -1 and -1573.
Prime factors of 1573: 1573.
Prime factorization of 1573: 1573 (since it is a prime number).
The sum of factors of 1573: 1 + 1573 = 1574
How to Find Factors of 1573?
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 1573. Since 1573 is a prime number, the only multiplication method to get it is:
Step 1: Multiply 1573 by 1, 1573 × 1 = 1573.
Therefore, the positive factor pair of 1573 is: (1, 1573). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1573 by 1, 1573 ÷ 1 = 1573.
Since 1573 is a prime number, it is only divisible by 1 and 1573.
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 1573 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
Since 1573 is a prime number, the prime factorization of 1573 is: 1573.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 1573 is a prime number, it cannot be broken down further. So, the prime factorization of 1573 is: 1573.
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 pair of 1573: (1, 1573).
- Negative factor pair of 1573: (-1, -1573).
Common Mistakes and How to Avoid Them in Factors of 1573
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 1573, 1 and 1573 are the factors.
Factors of 1573 Examples
Problem 1
There are 3 friends and 1573 marbles. How will they divide them equally?
They cannot divide the marbles equally without a remainder.
Explanation
Since 1573 is a prime number, it cannot be divided evenly among 3 people.
Problem 2
A rectangular field has a length of 1 meter and the total area is 1573 square meters. Find the width?
1573 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1573 = 1 × width
Width = 1573.
Problem 3
There are 1573 apples, and they need to be packed into bags. Each bag holds 1 apple. How many bags are needed?
1573 bags.
Explanation
To find the number of bags required, divide the total apples by the number of apples per bag.
1573/1 = 1573
FAQs on Factors of 1573
1.What are the factors of 1573?
2.Mention the prime factors of 1573.
3.Is 1573 a multiple of 3?
4.Mention the factor pair of 1573?
5.What is the square of 1573?
6.How can children in Canada use numbers in everyday life to understand Factors of 1573?
7.What are some fun ways kids in Canada can practice Factors of 1573 with numbers?
8.What role do numbers and Factors of 1573 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1573 skills?
Important Glossaries for Factor of 1573
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1573 are 1 and 1573.
- Prime numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. For example, 1573 is a prime number.
- Negative factors: When the factors are negative, for example, the negative factors of 1573 are -1 and -1573.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1573 is (1, 1573).
- Prime factorization: The process of determining the prime numbers that multiply together to give a certain original number. For 1573, it is already a prime number.
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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
: She loves to read number jokes and games.
