Prime Factors of 708

Steps to find Prime Factors of 708 by Division Method

To find the primefactors of 708 using the division method, follow these steps:

• Step 1. Start dividing 708 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 708, which is 2. Divide 708 by 2 to obtain the quotient (354).
  708 ÷ 2 = 354
• Step 3. Repeat step 1 with the obtained quotient (354).
  354 ÷ 2 = 177
  177 ÷ 3 = 59
  59 ÷ 59 = 1

So, the prime factorization of 708 is, 708 = 2 x 2 x 3 x 59.

Steps to find Prime Factors of 708 by Factor Tree Method

We can follow the same procedure using the factor tree of 708 as shown below:

So, the prime factorization of 708 is, 708 = 2 x 2 x 3 x 59.

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 708 are 2 x 2 x 3 x 59.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 708 but not a prime factor of 708.

Frequently Asked Questions

• Which is the smallest prime factor of 708?

  Smallest prime factor of 708 is 2.

• What is the prime factorization of 708?

  Prime factorization of 708 is 2 x 2 x 3 x 59.

• What are the factors of 708?

  Factors of 708 are 1 , 2 , 3 , 4 , 6 , 12 , 59 , 118 , 177 , 236 , 354 , 708.

• Is 708 a prime number or a composite number?

  708 is a composite number.

• Is 708 a prime number?

  false, 708 is not a prime number.

• Which is the largest prime factors of 708?

  The largest prime factor of 708 is 59.

• What is the sum of all prime factors of 708?

  Prime factors of 708 are 2 x 2 x 3 x 59. Therefore, their sum is 66.

• What numbers are the prime factors of 708?

  Prime factors of 708 are 2 , 2 , 3 , 59.

• What is the sum of all odd prime factors of 708?

  Prime factors of 708 are 2 , 2 , 3 , 59, out of which 3 , 59 are odd numbers. So, the sum of odd prime factors of 708 is 3 + 59 = 62.