Prime Factors of 13475

Steps to find Prime Factors of 13475 by Division Method

To find the primefactors of 13475 using the division method, follow these steps:

• Step 1. Start dividing 13475 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 13475, which is 5. Divide 13475 by 5 to obtain the quotient (2695).
  13475 ÷ 5 = 2695
• Step 3. Repeat step 1 with the obtained quotient (2695).
  2695 ÷ 5 = 539
  539 ÷ 7 = 77
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 13475 is, 13475 = 5 x 5 x 7 x 7 x 11.

Steps to find Prime Factors of 13475 by Factor Tree Method

We can follow the same procedure using the factor tree of 13475 as shown below:

So, the prime factorization of 13475 is, 13475 = 5 x 5 x 7 x 7 x 11.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 13475 are 5 x 5 x 7 x 7 x 11.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 13475 but not a prime factor of 13475.

Frequently Asked Questions

• Which is the smallest prime factor of 13475?

  Smallest prime factor of 13475 is 5.

• Is 13475 a perfect square?

  No 13475 is not a perfect square.

• What is the prime factorization of 13475?

  Prime factorization of 13475 is 5 x 5 x 7 x 7 x 11.

• What is prime factorization of 13475 in exponential form?

  Prime factorization of 13475 in exponential form is 5² x 7² x 11.

• Is 13475 a prime number?

  false, 13475 is not a prime number.

• Which is the largest prime factors of 13475?

  The largest prime factor of 13475 is 11.

• What is the product of all prime factors of 13475?

  Prime factors of 13475 are 5 x 5 x 7 x 7 x 11. Therefore, their product is 13475.

• What is the sum of all odd prime factors of 13475?

  Prime factors of 13475 are 5 , 5 , 7 , 7 , 11, out of which 5 , 5 , 7 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 13475 is 5 + 5 + 7 + 7 + 11 = 35.

• What is the product of all odd prime factors of 13475?

  Prime factors of 13475 are 5 , 5 , 7 , 7 , 11, out of which 5 , 5 , 7 , 7 , 11 are odd numbers. So, the product of odd prime factors of 13475 is 5 x 5 x 7 x 7 x 11 = 13475.