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 Icon126 Learners

Last updated on December 24th, 2024

Math Whiteboard Illustration

Is 827 a prime number?

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Prime numbers have only 1 and the number itself, as factors. They are used in digital security and in securing digital payments. The topics below will help you gain more knowledge on the prime numbers and how they are getting categorized.

Professor Greenline from BrightChamps

Is 827 a prime number?

The number 827 has got 2 factors, that are capable of dividing the number completely without leaving any remainder. Thus the number 827 is a prime number. The factors of 827 include 1 and 827.

 

Is 827 a prime number

Professor Greenline from BrightChamps

Why is 827 a prime number?

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 827 has only 2 factors, hence making it a prime number.


Given below are a few ways that can be used to find prime or composite numbers.


The different methods we can use to check if a number is a prime number are explained below.

 

  1. Counting Divisors Method
  2. Divisibility Test
  3. Prime Number Chart
  4. Prime Factorization
Professor Greenline from BrightChamps

Using the Counting Divisors Method

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.


The counting divisors method for 827 would simply be


Divisors of 827 = 1, 827
Number of divisors = 2


The number 827 can be considered prime.

Professor Greenline from BrightChamps

Using the Divisibility Method

In the division method, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.


In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.


The divisors of 827 are 1 and 827.


Thus, 827 consists of only 2 factors, making it a prime number.

Professor Greenline from BrightChamps

Using the Prime Number Chart

The prime number chart is the list of prime numbers starting from 2 to infinity.


The list of prime numbers under 1000 are;
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,...827.


827 is present in the list, it is a prime number.

Max Pointing Out Common Math Mistakes

Common mistakes to avoid when determining if 827 is a prime number

Ray Thinking Deeply About Math Problems

FAQ’s for "Is 827 a prime number"

1.Is 827 a prime number?

Math FAQ Answers Dropdown Arrow

2.What are the factors of 827?

Math FAQ Answers Dropdown Arrow

3.How can you tell if 827 is prime?

Math FAQ Answers Dropdown Arrow

4.Is 827 divisible by 2?

Math FAQ Answers Dropdown Arrow

5.Is 827 divisible by 3?

Math FAQ Answers Dropdown Arrow

6.Is 827 divisible by 5?

Math FAQ Answers Dropdown Arrow

7.Can 827 be factored?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Glossary for "Is 827 a Prime Number?"

Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. For example, 827 is a prime number because its only factors are 1 and 827.


Divisors: Numbers that divide another number exactly without leaving a remainder. For 827, the divisors are 1 and 827.


Divisibility Test: A method used to determine whether a number is divisible by another number. If a number can be divided evenly by a divisor, then it is divisible by that number.


Prime Number Chart: A list of all prime numbers up to a specific value. It is a helpful tool for quickly identifying whether a number is prime. For example, 827 appears in the list of prime numbers under 1000.


Counting Divisors Method: A method where we count how many divisors a number has. If a number has exactly two divisors, it is prime. In the case of 827, the number of divisors is 2, confirming it is a prime number.

Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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