Steps to find Prime Factors of 688 by Division Method

To find the primefactors of 688 using the division method, follow these steps:

  • Step 1. Start dividing 688 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 688, which is 2. Divide 688 by 2 to obtain the quotient (344).
    688 ÷ 2 = 344
  • Step 3. Repeat step 1 with the obtained quotient (344).
    344 ÷ 2 = 172
    172 ÷ 2 = 86
    86 ÷ 2 = 43
    43 ÷ 43 = 1

So, the prime factorization of 688 is, 688 = 2 x 2 x 2 x 2 x 43.

Steps to find Prime Factors of 688 by Factor Tree Method

We can follow the same procedure using the factor tree of 688 as shown below:

So, the prime factorization of 688 is, 688 = 2 x 2 x 2 x 2 x 43.

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 688 are 2 x 2 x 2 x 2 x 43.

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 688 but not a prime factor of 688.

Frequently Asked Questions

  • Which is the smallest prime factor of 688?

    Smallest prime factor of 688 is 2.

  • Is 688 a perfect square?

    No 688 is not a perfect square.

  • What is the prime factorization of 688?

    Prime factorization of 688 is 2 x 2 x 2 x 2 x 43.

  • What is prime factorization of 688 in exponential form?

    Prime factorization of 688 in exponential form is 24 x 43.

  • Is 688 a prime number or a composite number?

    688 is a composite number.

  • Which is the largest prime factors of 688?

    The largest prime factor of 688 is 43.

  • What is the product of all prime factors of 688?

    Prime factors of 688 are 2 x 2 x 2 x 2 x 43. Therefore, their product is 688.

  • What numbers are the prime factors of 688?

    Prime factors of 688 are 2 , 2 , 2 , 2 , 43.

  • Is there any even prime factor of 688?

    Yes there is a even prime factor of 688.