Steps to find Prime Factors of 1489 by Division Method

To find the primefactors of 1489 using the division method, follow these steps:

  • Step 1. Start dividing 1489 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 1489, which is 1489. Divide 1489 by 1489 to obtain the quotient (1).
    1489 ÷ 1489 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1489 is, 1489 = 1489.

Steps to find Prime Factors of 1489 by Factor Tree Method

We can follow the same procedure using the factor tree of 1489 as shown below:

So, the prime factorization of 1489 is, 1489 = 1489.

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 1489 are 1489.

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 1489 but not a prime factor of 1489.

Frequently Asked Questions

  • Which is the smallest prime factor of 1489?

    Smallest prime factor of 1489 is 1489.

  • What is the prime factorization of 1489?

    Prime factorization of 1489 is 1489.

  • What is prime factorization of 1489 in exponential form?

    Prime factorization of 1489 in exponential form is 1489.

  • Is 1489 a prime number or a composite number?

    1489 is a prime number.

  • Is 1489 a prime number?

    true, 1489 is a prime number.

  • How to find prime factorization of 1489 easily?

    To find prime factorization of 1489 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 1489?

    The largest prime factor of 1489 is 1489.

  • What is the product of all prime factors of 1489?

    Prime factors of 1489 are 1489. Therefore, their product is 1489.

  • What is the sum of all odd prime factors of 1489?

    Prime factors of 1489 are 1489, out of which 1489 are odd numbers. So, the sum of odd prime factors of 1489 is 1489 = 1489.