Prime Factors of 979

Steps to find Prime Factors of 979 by Division Method

To find the primefactors of 979 using the division method, follow these steps:

• Step 1. Start dividing 979 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 979, which is 11. Divide 979 by 11 to obtain the quotient (89).
  979 ÷ 11 = 89
• Step 3. Repeat step 1 with the obtained quotient (89).
  89 ÷ 89 = 1

So, the prime factorization of 979 is, 979 = 11 x 89.

Steps to find Prime Factors of 979 by Factor Tree Method

We can follow the same procedure using the factor tree of 979 as shown below:

So, the prime factorization of 979 is, 979 = 11 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 979 are 11 x 89.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 979 but not a prime factor of 979.

Frequently Asked Questions

• Which is the smallest prime factor of 979?

  Smallest prime factor of 979 is 11.

• Is 979 a perfect square?

  No 979 is not a perfect square.

• What is the prime factorization of 979?

  Prime factorization of 979 is 11 x 89.

• What is prime factorization of 979 in exponential form?

  Prime factorization of 979 in exponential form is 11 x 89.

• Is 979 a prime number?

  false, 979 is not a prime number.

• Which is the largest prime factors of 979?

  The largest prime factor of 979 is 89.

• What is the product of all prime factors of 979?

  Prime factors of 979 are 11 x 89. Therefore, their product is 979.

• What is the sum of all odd prime factors of 979?

  Prime factors of 979 are 11 , 89, out of which 11 , 89 are odd numbers. So, the sum of odd prime factors of 979 is 11 + 89 = 100.

• What is the product of all odd prime factors of 979?

  Prime factors of 979 are 11 , 89, out of which 11 , 89 are odd numbers. So, the product of odd prime factors of 979 is 11 x 89 = 979.