Prime Factors of 17424

Steps to find Prime Factors of 17424 by Division Method

To find the primefactors of 17424 using the division method, follow these steps:

• Step 1. Start dividing 17424 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 17424, which is 2. Divide 17424 by 2 to obtain the quotient (8712).
  17424 ÷ 2 = 8712
• Step 3. Repeat step 1 with the obtained quotient (8712).
  8712 ÷ 2 = 4356
  4356 ÷ 2 = 2178
  2178 ÷ 2 = 1089
  1089 ÷ 3 = 363
  363 ÷ 3 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 17424 is, 17424 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.

Steps to find Prime Factors of 17424 by Factor Tree Method

We can follow the same procedure using the factor tree of 17424 as shown below:

So, the prime factorization of 17424 is, 17424 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.

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 17424 are 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.

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 17424 but not a prime factor of 17424.

Frequently Asked Questions

• Which is the smallest prime factor of 17424?

  Smallest prime factor of 17424 is 2.

• Is 17424 a perfect square?

  Yes 17424 is a perfect square.

• What is the prime factorization of 17424?

  Prime factorization of 17424 is 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11.

• What is prime factorization of 17424 in exponential form?

  Prime factorization of 17424 in exponential form is 2⁴ x 3² x 11².

• Is 17424 a prime number or a composite number?

  17424 is a composite number.

• Which is the largest prime factors of 17424?

  The largest prime factor of 17424 is 11.

• What is the product of all prime factors of 17424?

  Prime factors of 17424 are 2 x 2 x 2 x 2 x 3 x 3 x 11 x 11. Therefore, their product is 17424.

• What numbers are the prime factors of 17424?

  Prime factors of 17424 are 2 , 2 , 2 , 2 , 3 , 3 , 11 , 11.

• Is there any even prime factor of 17424?

  Yes there is a even prime factor of 17424.