Steps to find Prime Factors of 4704 by Division Method

To find the primefactors of 4704 using the division method, follow these steps:

  • Step 1. Start dividing 4704 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 4704, which is 2. Divide 4704 by 2 to obtain the quotient (2352).
    4704 ÷ 2 = 2352
  • Step 3. Repeat step 1 with the obtained quotient (2352).
    2352 ÷ 2 = 1176
    1176 ÷ 2 = 588
    588 ÷ 2 = 294
    294 ÷ 2 = 147
    147 ÷ 3 = 49
    49 ÷ 7 = 7
    7 ÷ 7 = 1

So, the prime factorization of 4704 is, 4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7.

Steps to find Prime Factors of 4704 by Factor Tree Method

We can follow the same procedure using the factor tree of 4704 as shown below:

So, the prime factorization of 4704 is, 4704 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7.

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 4704 are 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7.

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 4704 but not a prime factor of 4704.

Frequently Asked Questions

  • Which is the smallest prime factor of 4704?

    Smallest prime factor of 4704 is 2.

  • Is 4704 a perfect square?

    No 4704 is not a perfect square.

  • What is the prime factorization of 4704?

    Prime factorization of 4704 is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7.

  • What is prime factorization of 4704 in exponential form?

    Prime factorization of 4704 in exponential form is 25 x 3 x 72.

  • Is 4704 a prime number or a composite number?

    4704 is a composite number.

  • Which is the largest prime factors of 4704?

    The largest prime factor of 4704 is 7.

  • What is the product of all prime factors of 4704?

    Prime factors of 4704 are 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7. Therefore, their product is 4704.

  • What numbers are the prime factors of 4704?

    Prime factors of 4704 are 2 , 2 , 2 , 2 , 2 , 3 , 7 , 7.

  • Is there any even prime factor of 4704?

    Yes there is a even prime factor of 4704.