Steps to find Prime Factors of 1869 by Division Method

To find the primefactors of 1869 using the division method, follow these steps:

  • Step 1. Start dividing 1869 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 1869, which is 3. Divide 1869 by 3 to obtain the quotient (623).
    1869 ÷ 3 = 623
  • Step 3. Repeat step 1 with the obtained quotient (623).
    623 ÷ 7 = 89
    89 ÷ 89 = 1

So, the prime factorization of 1869 is, 1869 = 3 x 7 x 89.

Steps to find Prime Factors of 1869 by Factor Tree Method

We can follow the same procedure using the factor tree of 1869 as shown below:

So, the prime factorization of 1869 is, 1869 = 3 x 7 x 89.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 1869 are 3 x 7 x 89.

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 1869 but not a prime factor of 1869.

Frequently Asked Questions

  • Which is the smallest prime factor of 1869?

    Smallest prime factor of 1869 is 3.

  • Is 1869 a perfect square?

    No 1869 is not a perfect square.

  • What is the prime factorization of 1869?

    Prime factorization of 1869 is 3 x 7 x 89.

  • What are the factors of 1869?

    Factors of 1869 are 1 , 3 , 7 , 21 , 89 , 267 , 623 , 1869.

  • What is prime factorization of 1869 in exponential form?

    Prime factorization of 1869 in exponential form is 3 x 7 x 89.

  • Is 1869 a prime number or a composite number?

    1869 is a composite number.

  • Is 1869 a prime number?

    false, 1869 is not a prime number.

  • How to find prime factorization of 1869 easily?

    To find prime factorization of 1869 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 1869?

    The largest prime factor of 1869 is 89.