Prime Factors of 4489

Steps to find Prime Factors of 4489 by Division Method

To find the primefactors of 4489 using the division method, follow these steps:

• Step 1. Start dividing 4489 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 4489, which is 67. Divide 4489 by 67 to obtain the quotient (67).
  4489 ÷ 67 = 67
• Step 3. Repeat step 1 with the obtained quotient (67).
  67 ÷ 67 = 1

So, the prime factorization of 4489 is, 4489 = 67 x 67.

Steps to find Prime Factors of 4489 by Factor Tree Method

We can follow the same procedure using the factor tree of 4489 as shown below:

So, the prime factorization of 4489 is, 4489 = 67 x 67.

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 4489 are 67 x 67.

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 4489 but not a prime factor of 4489.

Frequently Asked Questions

• Which is the smallest prime factor of 4489?

  Smallest prime factor of 4489 is 67.

• What is the prime factorization of 4489?

  Prime factorization of 4489 is 67 x 67.

• What is prime factorization of 4489 in exponential form?

  Prime factorization of 4489 in exponential form is 67².

• Is 4489 a prime number or a composite number?

  4489 is a composite number.

• Is 4489 a prime number?

  false, 4489 is not a prime number.

• How to find prime factorization of 4489 easily?

  To find prime factorization of 4489 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 4489?

  The largest prime factor of 4489 is 67.

• What is the product of all prime factors of 4489?

  Prime factors of 4489 are 67 x 67. Therefore, their product is 4489.

• What is the sum of all odd prime factors of 4489?

  Prime factors of 4489 are 67 , 67, out of which 67 , 67 are odd numbers. So, the sum of odd prime factors of 4489 is 67 + 67 = 134.