BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation

Math Table of Contents Dropdown Table Of Contents

Creative Math Ideas Image
Live Math Learners Count Icon141 Learners

Last updated on November 28th, 2024

Math Whiteboard Illustration

Factors of 301

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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.

Professor Greenline from BrightChamps

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.
 

Professor Greenline from BrightChamps

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. 
 

Max Pointing Out Common Math Mistakes

Common mistakes and how to avoid them in factors of 301

Max from BrightChamps Saying "Hey"

Factors of 301 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

What is the GCF of 301 and 49?

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

Explanation

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

What is the product of all the factors of 301?

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

Explanation

Max from BrightChamps Praising Clear Math Explanations
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"

Explanation

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 301

1.Is 301 prime or composite?

Math FAQ Answers Dropdown Arrow

2.Is 301 a cardinal value?

Math FAQ Answers Dropdown Arrow

3. Is 3 a factor of 301?

Math FAQ Answers Dropdown Arrow

4.Write 301 as a sum of consecutive primes.

Math FAQ Answers Dropdown Arrow

5.Write 301 in Roman numerals.

Math FAQ Answers Dropdown Arrow
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) 
     
BrightChamps Logo
Follow Us
BrightChamps Facebook Page IconBrightChamps YouTube Channel IconBrightChamps Instagram IconBrightChamps LinkedIn Page Icon
INDONESIA
Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA
H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE
60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA
251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1)
Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2)
143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai
BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK
Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom