Prime Factors of 978

Steps to find Prime Factors of 978 by Division Method

To find the primefactors of 978 using the division method, follow these steps:

• Step 1. Start dividing 978 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 978, which is 2. Divide 978 by 2 to obtain the quotient (489).
  978 ÷ 2 = 489
• Step 3. Repeat step 1 with the obtained quotient (489).
  489 ÷ 3 = 163
  163 ÷ 163 = 1

So, the prime factorization of 978 is, 978 = 2 x 3 x 163.

Steps to find Prime Factors of 978 by Factor Tree Method

We can follow the same procedure using the factor tree of 978 as shown below:

So, the prime factorization of 978 is, 978 = 2 x 3 x 163.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 978 are 2 x 3 x 163.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 978 but not a prime factor of 978.

Frequently Asked Questions

• Is 978 a prime number?

  false, 978 is not a prime number.

• How to find prime factorization of 978 easily?

  To find prime factorization of 978 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 978?

  The largest prime factor of 978 is 163.

• What is the sum of all prime factors of 978?

  Prime factors of 978 are 2 x 3 x 163. Therefore, their sum is 168.

• What is the product of all prime factors of 978?

  Prime factors of 978 are 2 x 3 x 163. Therefore, their product is 978.

• What numbers are the prime factors of 978?

  Prime factors of 978 are 2 , 3 , 163.

• What is the sum of all odd prime factors of 978?

  Prime factors of 978 are 2 , 3 , 163, out of which 3 , 163 are odd numbers. So, the sum of odd prime factors of 978 is 3 + 163 = 166.

• Is there any even prime factor of 978?

  Yes there is a even prime factor of 978.

• What is the product of all odd prime factors of 978?

  Prime factors of 978 are 2 , 3 , 163, out of which 3 , 163 are odd numbers. So, the product of odd prime factors of 978 is 3 x 163 = 489.