Prime Factors of 4704

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.