Prime Factors of 1547

Steps to find Prime Factors of 1547 by Division Method

To find the primefactors of 1547 using the division method, follow these steps:

• Step 1. Start dividing 1547 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 1547, which is 7. Divide 1547 by 7 to obtain the quotient (221).
  1547 ÷ 7 = 221
• Step 3. Repeat step 1 with the obtained quotient (221).
  221 ÷ 13 = 17
  17 ÷ 17 = 1

So, the prime factorization of 1547 is, 1547 = 7 x 13 x 17.

Steps to find Prime Factors of 1547 by Factor Tree Method

We can follow the same procedure using the factor tree of 1547 as shown below:

So, the prime factorization of 1547 is, 1547 = 7 x 13 x 17.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 1547 are 7 x 13 x 17.

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 1547 but not a prime factor of 1547.

Frequently Asked Questions

• Which is the smallest prime factor of 1547?

  Smallest prime factor of 1547 is 7.

• Is 1547 a perfect square?

  No 1547 is not a perfect square.

• What is the prime factorization of 1547?

  Prime factorization of 1547 is 7 x 13 x 17.

• What is prime factorization of 1547 in exponential form?

  Prime factorization of 1547 in exponential form is 7 x 13 x 17.

• Is 1547 a prime number?

  false, 1547 is not a prime number.

• Which is the largest prime factors of 1547?

  The largest prime factor of 1547 is 17.

• What is the product of all prime factors of 1547?

  Prime factors of 1547 are 7 x 13 x 17. Therefore, their product is 1547.

• What is the sum of all odd prime factors of 1547?

  Prime factors of 1547 are 7 , 13 , 17, out of which 7 , 13 , 17 are odd numbers. So, the sum of odd prime factors of 1547 is 7 + 13 + 17 = 37.

• What is the product of all odd prime factors of 1547?

  Prime factors of 1547 are 7 , 13 , 17, out of which 7 , 13 , 17 are odd numbers. So, the product of odd prime factors of 1547 is 7 x 13 x 17 = 1547.