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Last updated on May 26th, 2025

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Factors of 301

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Let’s learn about the factors of 301 and what makes it special ! A factor is a number that divides into another, leaving behind no other remainder. Did you know? Factors come into use when we have to split things into equal groups, solve puzzles and even understand the patterns in math.

Factors of 301 for Indonesian Students
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What are the factors of 301?

Let's find the factors of 301 ! We are finding all numbers that go into 301 evenly when we look for the factors of a number.
 

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How to find the factors of 301?

We can apply various methods to find the factors of a number. Use one you can understand simply. 

Professor Greenline from BrightChamps

Finding Factors Using Multiplication

Look for two numbers, the multiplication of which yields 301.


The pairs formed are considered as factors of 301. 


301 is a composite number


The factor pairs of 301 are;


Positive factor pairs — (1,301) (7,43) 


Negative factor pairs — (-1,-301) (-43,-13)
 

Professor Greenline from BrightChamps

Finding Factors by Division Method

  • Start by dividing 301 with the smallest number 1, and look at the remainders.

 

  • Should satisfy the condition → Quotient×Remainder = 301 

 

  • The factors of 301 are 1,7,43,301 and -1,-7,-43,-301.
     
Professor Greenline from BrightChamps

Prime factors and prime factorization of 301

Prime factors of 301: 7,43


The prime factorization of 301= 7×43


Factors of 301 are 1,7,43,301 and -1,-7,-43,-301.
 

Professor Greenline from BrightChamps

Factor tree

We make branches in the factor tree method that extends from the number to express it as the product of its factors. 


The branches extend as → 301= 7×43 — the factorization ends here, the number 43 is prime. 
 

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Common mistakes and how to avoid them in factors of 301

Do you think factors are complicated to solve through? We agree it can be a bit problematic, and it is easy to make a few mistakes. Let's take a look at the possible mistakes and see how we can avoid them. 
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

 Assuming that factors can only be small numbers
 

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 Factors can be any number, remember. If only small numbers are checked, you may miss the actual factors of a number. Make sure you check the numbers up to the square root to make sure all factors are covered.
 

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Factors of 301 Examples

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Max, the Girl Character from BrightChamps

Problem 1

What is the GCF of 301 and 49?

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Factors of 301 → 1, 7, 43, and 301.


Factors of 49 → 1, 7, and 49.


Pick the biggest factor that is on both lists.


GCF (301,49) = 7
 

Explanation

 By listing factors for each, we see that 7 is the largest common factor.

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Max, the Girl Character from BrightChamps

Problem 2

What is the product of all the factors of 301?

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Identify the factors of 301: 1, 7, 43, and 301.


Multiply all the factors:


1×7×43×301=9071.
 

Explanation

To find the product, we multiply each factor of 301. This involves careful multiplication of each factor, ensuring we include all four factors.
 

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Max, the Girl Character from BrightChamps

Problem 3

A teacher has 301 stickers and wants to divide them into equal groups. What group sizes are possible if each group has an equal number of stickers?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Find the factors of 301, as these represent possible group sizes.


Factors are 1, 7, 43, and 301.


Each factor represents a group size that divides 301 evenly.


Answer: The possible group sizes are 1, 7, 43, and 301 stickers per group.
 

Explanation

Each factor of 301 represents a number that divides 301 with no leftovers. By using factors, the teacher can choose a group size that divides the stickers evenly.
 

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FAQs on Factors of 301

1.Is 301 prime or composite?

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2.Is 301 a cardinal value?

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3. Is 3 a factor of 301?

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4.Write 301 as a sum of consecutive primes.

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5.Write 301 in Roman numerals.

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6.How can children in Indonesia use numbers in everyday life to understand Factors of 301 ?

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7.What are some fun ways kids in Indonesia can practice Factors of 301 with numbers?

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8.What role do numbers and Factors of 301 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve Factors of 301 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 301

  • Factors: numbers that divide the given number without remainder prime factorization: breaking numbers down into their prime factors.

 

  • Prime factors: Numbers with two factors 

 

  • Composite number: numbers with multiple factors (more than two) 
     
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About BrightChamps in Indonesia

At BrightChamps, numbers are more than just digits—they’re gateways to many opportunities! We strive to help children across Indonesia master vital math skills, focusing today on Factors of 301 with special attention to factors—in a fun, clear, and engaging way. Whether your child is calculating the speed of a ride at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for gadgets, solid number skills give them confidence in daily life. Our hands-on lessons make learning both fun and straightforward. Since kids in Indonesia learn in varied ways, we adapt our teaching to each child’s needs. From Jakarta’s busy streets to Bali’s beautiful beaches, BrightChamps brings math to life throughout Indonesia. Let’s make factors an enjoyable part of every child’s math adventure!
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UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom