Prime Factors of 289

Steps to find Prime Factors of 289 by Division Method

To find the primefactors of 289 using the division method, follow these steps:

• Step 1. Start dividing 289 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 289, which is 17. Divide 289 by 17 to obtain the quotient (17).
  289 ÷ 17 = 17
• Step 3. Repeat step 1 with the obtained quotient (17).
  17 ÷ 17 = 1

So, the prime factorization of 289 is, 289 = 17 x 17.

Steps to find Prime Factors of 289 by Factor Tree Method

We can follow the same procedure using the factor tree of 289 as shown below:

So, the prime factorization of 289 is, 289 = 17 x 17.

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 289 are 17 x 17.

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 289 but not a prime factor of 289.

Frequently Asked Questions

• Which is the smallest prime factor of 289?

  Smallest prime factor of 289 is 17.

• What is the prime factorization of 289?

  Prime factorization of 289 is 17 x 17.

• What is prime factorization of 289 in exponential form?

  Prime factorization of 289 in exponential form is 17².

• Is 289 a prime number or a composite number?

  289 is a composite number.

• Is 289 a prime number?

  false, 289 is not a prime number.

• How to find prime factorization of 289 easily?

  To find prime factorization of 289 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 289?

  The largest prime factor of 289 is 17.

• What is the product of all prime factors of 289?

  Prime factors of 289 are 17 x 17. Therefore, their product is 289.

• What is the sum of all odd prime factors of 289?

  Prime factors of 289 are 17 , 17, out of which 17 , 17 are odd numbers. So, the sum of odd prime factors of 289 is 17 + 17 = 34.