133 LearnersLast updated on May 30th, 2025
Factors of 1601
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 1601, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1601?
The numbers that divide 1601 evenly are known as factors of 1601.
A factor of 1601 is a number that divides the number without remainder.
The factors of 1601 are 1 and 1601.
Negative factors of 1601: -1 and -1601.
Prime factors of 1601: Since 1601 is a prime number, its only prime factors are itself.
Prime factorization of 1601: 1601 is a prime number, so it cannot be factorized further.
The sum of factors of 1601: 1 + 1601 = 1602
How to Find Factors of 1601?
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 1601. Since 1601 is a prime number, the only multiplication pair is:
Step 1: 1601 × 1 = 1601.
Therefore, the positive factor pairs of 1601 are: (1, 1601). 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 results as a whole number as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1601 by 1, 1601 ÷ 1 = 1601.
Step 2: Check divisibility by other numbers up to the square root of 1601.
Since 1601 is not divisible by any other number, the factors are 1 and 1601.
Prime Factors and Prime Factorization
Since 1601 is a prime number, it can only be divided by 1 and itself without leaving a remainder. Therefore, it has no prime factorization other than itself.
Factor Tree
A factor tree is typically used to break down composite numbers into their prime factors.
Since 1601 is a prime number, it cannot be broken down further into a factor tree.
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 1601: (1, 1601)
Negative factor pairs of 1601: (-1, -1601)
Common Mistakes and How to Avoid Them in Factors of 1601
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 1601, 1 and 1601 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1601 consist of -1 and -1601.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1601/1.5 does not yield a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes. For example, thinking all the factors of 1601 are prime numbers.
For example, 1601 is a prime number, and its factors are 1 and 1601 itself.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not verifying that 1601 is a prime number and assuming it has multiple factors.
Factors of 1601 Examples
Problem 1
There are 1601 students attending a lecture, and there are 1 lecture hall. How will they arrange it?
All 1601 students will be in the one lecture hall.
Explanation
To arrange the students equally, we put all students in the available lecture hall.
1601/1 = 1601
Problem 2
A rectangular park has a perimeter of 1601 meters. If one side is 1 meter, find the length of the other side.
800 meters.
Explanation
To find the length of the park, we use the formula,
Perimeter = 2(length + width)
1601 = 2(1 + width)
Solving for width, we get width = 800 meters.
Problem 3
There are 1601 pages in a book. If you read 1 page per day, how many days will it take to finish the book?
It will take 1601 days to finish the book.
Explanation
To find the days needed, divide the total pages by the pages read per day.
1601/1 = 1601
Problem 4
1601 people are traveling by bus, and there is 1 bus. How many people will be on each bus?
All 1601 people will be on the one bus.
Explanation
Dividing the people by the number of buses gives the number of people per bus.
1601/1 = 1601
Problem 5
There are 1601 apples to be packed into 1 crate. How many apples will go into the crate?
All 1601 apples will go into the one crate.
Explanation
Divide the total apples by the number of crates.
1601/1 = 1601
FAQs on Factors of 1601
1.What are the factors of 1601?
2.Is 1601 a prime number?
3.Is 1601 a multiple of 2?
4.Mention the factor pairs of 1601?
5.What is the square of 1601?
Important Glossaries for Factors of 1601
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1601 are 1 and 1601.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself. 1601 is a prime number.
- 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 1601 are (1, 1601).
- Negative Factors: Factors that are negative and multiply to give the original number. For 1601, they are -1 and -1601.
- Prime Factorization: The expression of a number as the product of its prime factors. Since 1601 is a prime number, it is its own prime factorization.
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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.
