Prime Factors of 1739

Steps to find Prime Factors of 1739 by Division Method

To find the primefactors of 1739 using the division method, follow these steps:

• Step 1. Start dividing 1739 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 1739, which is 37. Divide 1739 by 37 to obtain the quotient (47).
  1739 ÷ 37 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
  47 ÷ 47 = 1

So, the prime factorization of 1739 is, 1739 = 37 x 47.

Steps to find Prime Factors of 1739 by Factor Tree Method

We can follow the same procedure using the factor tree of 1739 as shown below:

So, the prime factorization of 1739 is, 1739 = 37 x 47.

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 1739 are 37 x 47.

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 1739 but not a prime factor of 1739.

Frequently Asked Questions

• Which is the smallest prime factor of 1739?

  Smallest prime factor of 1739 is 37.

• Is 1739 a perfect square?

  No 1739 is not a perfect square.

• What is the prime factorization of 1739?

  Prime factorization of 1739 is 37 x 47.

• What is prime factorization of 1739 in exponential form?

  Prime factorization of 1739 in exponential form is 37 x 47.

• Is 1739 a prime number?

  false, 1739 is not a prime number.

• Which is the largest prime factors of 1739?

  The largest prime factor of 1739 is 47.

• What is the product of all prime factors of 1739?

  Prime factors of 1739 are 37 x 47. Therefore, their product is 1739.

• What is the sum of all odd prime factors of 1739?

  Prime factors of 1739 are 37 , 47, out of which 37 , 47 are odd numbers. So, the sum of odd prime factors of 1739 is 37 + 47 = 84.

• What is the product of all odd prime factors of 1739?

  Prime factors of 1739 are 37 , 47, out of which 37 , 47 are odd numbers. So, the product of odd prime factors of 1739 is 37 x 47 = 1739.