Steps to find Prime Factors of 837 by Division Method

To find the primefactors of 837 using the division method, follow these steps:

  • Step 1. Start dividing 837 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 837, which is 3. Divide 837 by 3 to obtain the quotient (279).
    837 ÷ 3 = 279
  • Step 3. Repeat step 1 with the obtained quotient (279).
    279 ÷ 3 = 93
    93 ÷ 3 = 31
    31 ÷ 31 = 1

So, the prime factorization of 837 is, 837 = 3 x 3 x 3 x 31.

Steps to find Prime Factors of 837 by Factor Tree Method

We can follow the same procedure using the factor tree of 837 as shown below:

So, the prime factorization of 837 is, 837 = 3 x 3 x 3 x 31.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 837 are 3 x 3 x 3 x 31.

Properties of Prime Factors

  • Prime factors are the set of factors that are unique to the number given.
  • 2 is the only even prime factor any number can have.
  • Two prime factors are always coprime to each other.
  • 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 837 but not a prime factor of 837.

Frequently Asked Questions

  • Which is the smallest prime factor of 837?

    Smallest prime factor of 837 is 3.

  • Is 837 a perfect square?

    No 837 is not a perfect square.

  • What is the prime factorization of 837?

    Prime factorization of 837 is 3 x 3 x 3 x 31.

  • What are the factors of 837?

    Factors of 837 are 1 , 3 , 9 , 27 , 31 , 93 , 279 , 837.

  • What is prime factorization of 837 in exponential form?

    Prime factorization of 837 in exponential form is 33 x 31.

  • Is 837 a prime number or a composite number?

    837 is a composite number.

  • Is 837 a prime number?

    false, 837 is not a prime number.

  • How to find prime factorization of 837 easily?

    To find prime factorization of 837 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 837?

    The largest prime factor of 837 is 31.