104 LearnersLast updated on May 26th, 2025
Factors of 901
Factors are the numbers that divide any given number evenly without a 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 901, how they are used in real life, and tips to learn them quickly.
What are the Factors of 901?
The numbers that divide 901 evenly are known as factors of 901. A factor of 901 is a number that divides the number without a remainder. The factors of 901 are 1, 17, 53, and 901.
Negative factors of 901: -1, -17, -53, and -901.
Prime factors of 901: 17 and 53.
Prime factorization of 901: 17 × 53.
The sum of factors of 901: 1 + 17 + 53 + 901 = 972
How to Find Factors of 901?
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 901. Identifying the numbers which are multiplied to get the number 901 is the multiplication method.
Step 1: Multiply 901 by 1, 901 × 1 = 901.
Step 2: Check for other numbers that give 901 after multiplying 17 × 53 = 901
Therefore, the positive factor pairs of 901 are: (1, 901) and (17, 53). All these factor pairs result in 901. 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 whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 901 by 1, 901 ÷ 1 = 901.
Step 2: Continue dividing 901 by the numbers until the remainder becomes 0.
901 ÷ 1 = 901
901 ÷ 17 = 53
901 ÷ 53 = 17
Therefore, the factors of 901 are: 1, 17, 53, 901.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 901 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
901 ÷ 17 = 53
53 ÷ 53 = 1
The prime factors of 901 are 17 and 53. The prime factorization of 901 is: 17 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 901 is divided by 17 to get 53.
Step 2: Now divide 53 by 53 to get 1. Here, 53 is the smallest prime number and cannot be divided any further. So, the prime factorization of 901 is: 17 × 53.
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 901: (1, 901) and (17, 53).
- Negative factor pairs of 901: (-1, -901) and (-17, -53).
Common Mistakes and How to Avoid Them in Factors of 901
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
People 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 901, 1 and 901 are also factors.
Factors of 901 Examples
Problem 1
There are 901 apples and they need to be packed into boxes of 17 apples each. How many boxes are needed?
53 boxes are needed.
Explanation
To determine how many boxes are needed,
divide the total number of apples by the number of apples per box.
901/17 = 53
Problem 2
A farmer has a plot of land that is 901 square meters. If the width is 17 meters, what is the length of the plot?
53 meters.
Explanation
To find the length of the plot, use the formula,
Area = length × width
901 = 17 × length
To find the value of length, divide 901 by 17.
901/17 = length
Length = 53.
Problem 3
There are 53 baskets and 901 oranges. How many oranges will be in each basket?
Each basket will have 17 oranges.
Explanation
To find the number of oranges in each basket,
divide the total oranges by the number of baskets.
901/53 = 17
Problem 4
A warehouse has 901 crates and each section can hold 17 crates. How many sections are needed?
53 sections are needed.
Explanation
Dividing the crates by the number of crates per section gives the number of sections needed.
901/17 = 53
Problem 5
901 books need to be distributed evenly across 17 bookcases. How many books will go on each bookcase?
Each bookcase will have 53 books.
Explanation
Divide the total number of books by the number of bookcases.
901/17 = 53
FAQs on Factors of 901
1.What are the factors of 901?
2.Mention the prime factors of 901.
3.Is 901 a multiple of 17?
4.Mention the factor pairs of 901?
5.What is the square of 901?
Important Glossaries for Factor of 901
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 901 are 1, 17, 53, and 901.
- Prime factors: The factors which are prime numbers. For example, 17 and 53 are prime factors of 901.
- 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 901 are (1, 901) and (17, 53).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 901 is 17 × 53.
- Multiples: A number is a multiple of its factors. For example, 901 is a multiple of 17 and 53.
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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.
