163 LearnersLast updated on May 26th, 2025
Factors of 601
Factors of 601 are numbers that can divide 601 completely without the remainder. We often use factors like organizing events and seating arrangements in our daily lives. In this topic, we will know more about the factors of 601 and the different methods to find them.
What are the Factors of 601
The factors of 601 are the numbers that divide 601 evenly.
Positive Factors: These are the positive numbers that divide 601 evenly.
Positive factors are 1 and 601.
Negative Factors: These are negative counterparts of the positive factors.
Negative factors are -1, -601
Prime Factors: Prime factors are the prime numbers themselves, when multiplied together, give 601 as the product.
Prime factors: 601
Prime Factorization: Prime factorization involves breaking 601 into its prime factors.
It is expressed as 601.
Table listing the factors of 601
|
Positive Factors |
1, 601 |
|
Negative Factors |
-1, -601 |
|
Prime Factors |
601 |
|
Prime Factorization |
1 x 601 |
This breakdown helps in understanding the various factors of 601, whether they are positive or negative, as well as how prime factorization works for this number.
How to Find the Factors of 601?
Factors of a number can be found by multiple methods, and they can be used to find the factors of 601.
Methods to find the factors of 601:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
The multiplication method finds the pair of factors that give 601 as their product.
Step 1: Find the pair of numbers whose product is 601.
Step 2: The factors are those numbers, when multiplied, give 601.
Step 3: Make a list of numbers whose product will be 601.
A list of numbers whose products are 601 is given below:
1 × 601 = 601
Thus, the factors of 601 are 1 and 601.
Finding Factors Using Division Method
The division method finds the numbers that fully divide the given number. The steps are given below:
Step 1: Since every number is divisible by 1, 1 will always be a factor.
Example: 601 ÷ 1 = 601
Step 2: Move to the next integer. The factors of the number include the number that is used to divide and the number of times the particular number is divided.
Thus, the factors of 601 are 1 and 601
Prime Factors and Prime Factorization
Multiplying prime numbers to get the given number as their product is called prime factors. A number when it is simplified using the factors of that number and is expressed in the form of prime factors is the prime factorization of a number.
Prime Factors of 601: Number 601 has only one prime factor.
Prime factors of 601: 601
To find the prime factors of 601, we can divide 601 with the prime number 601.
Step 1: Divide 601 with the prime number 601
601 ÷ 601 = 1
Prime Factorization of 601: Prime Factorization breaks down the prime factors of 601
Expressed as 1 x 601
Factor Tree
The prime factorization is visually represented using the factor tree. It helps to understand the process easily. In this factor tree, each branch splits into prime factors.
Since 601 is a prime number, its factor tree has just one branch with 601.
This tree shows the breakdown of 601 into its prime factors: 1 x 601.
Positive and Negative Factor Pairs of 601
Factors of 601 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.
Positive Factor Pairs: (1, 601)
Negative Factor Pairs: (-1, -601)
Common Mistakes and How to Avoid Them in Factors of 601
Mistakes can occur while finding the factors. Learn about the common errors that can occur. Solutions to solve the common mistakes are given below.
Mistake 1
Assuming 601 has more factors.
601 is a prime number, meaning it only has two factors: 1 and 601. Do not assume it has other factors.
Factors of 601 Examples
Problem 1
Can you check whether 601 and 1 are co-prime?
Yes, 601 and 1 are co-prime.
Explanation
To check whether two numbers are co-prime, list their factors first.
Once you have listed the factors, identify the common factors and determine the GCF.
If the GCF is greater than 1, then the numbers are not co-prime.
Factors of 601: 1, 601
Factors of 1: 1
Here, the GCF is 1. So, 601 and 1 are co-prime. For two numbers to be co-prime, their GCF must be 1.
Problem 2
Verify whether 601 is a multiple of 5.
No, 601 is not a multiple of 5.
Explanation
Multiples of 5 are numbers that end in 0 or 5. 601 does not end in 0 or 5, so it is not a multiple of 5.
Factors of 601: 1, 601
Factors of 5: 1, 5
Since 601 does not contain 5 as a factor, it is not a multiple of 5.
Problem 3
Identify the perfect square from the factors of 601.
The perfect square factor of 601 is 1, and the square root is 1.
Explanation
A perfect square is a number that results from multiplying the same number by itself.
The only perfect square factor of 601 is 1, as 1×1 = 1.
Problem 4
Can you check whether 601 is a prime number?
Yes, 601 is a prime number.
Explanation
A prime number has only two factors: 1 and itself.
Factors of 601: 1, 601
Since 601 has no other factors apart from 1 and itself, it is a prime number.
Problem 5
Check if 601 and 120 are co-prime.
Yes, 601 and 120 are co-prime.
Explanation
To check whether two numbers are co-prime, list their factors first.
Factors of 601: 1, 601
Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The GCF of 601 and 120 is 1, meaning they are co-prime. For two numbers to be co-prime, their GCF must be 1.
FAQs on Factors of 601
1.What are the factors of 601?
2.How do you determine if a number is a factor of 601?
3.What is the smallest factor of 601?
4.What is the largest factor of 601?
5.How many factors does 601 have?
6.How many odd factors does 601 have?
7.What factors go into 601?
8.Do any perfect squares exist in the factors of 601?
Glossary
- Factor: A number that divides another number completely without leaving a remainder. For example, the factors of 601 are 1 and 601.
- Prime Factorization: The process of expressing a number as the product of its prime factors. The prime factorization of 601 is 601 itself, as it is a prime number.
- Co-prime: Two numbers are co-prime if their greatest common factor (GCF) is 1. For example, 601 and 1 are co-prime because their GCF is 1.
- Prime Numbers: Numbers greater than 1 that have no divisors other than 1 and themselves. 601 is a prime number because its only factors are 1 and 601.
- Multiple: A number that can be obtained by multiplying a given number by an integer. 601 is not a multiple of 5, as it does not end in 0 or 5.
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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.
