Prime Factors of 1748

Steps to find Prime Factors of 1748 by Division Method

To find the primefactors of 1748 using the division method, follow these steps:

• Step 1. Start dividing 1748 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 1748, which is 2. Divide 1748 by 2 to obtain the quotient (874).
  1748 ÷ 2 = 874
• Step 3. Repeat step 1 with the obtained quotient (874).
  874 ÷ 2 = 437
  437 ÷ 19 = 23
  23 ÷ 23 = 1

So, the prime factorization of 1748 is, 1748 = 2 x 2 x 19 x 23.

Steps to find Prime Factors of 1748 by Factor Tree Method

We can follow the same procedure using the factor tree of 1748 as shown below:

So, the prime factorization of 1748 is, 1748 = 2 x 2 x 19 x 23.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 1748 are 2 x 2 x 19 x 23.

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 1748 but not a prime factor of 1748.

Frequently Asked Questions

• Which is the smallest prime factor of 1748?

  Smallest prime factor of 1748 is 2.

• What is the prime factorization of 1748?

  Prime factorization of 1748 is 2 x 2 x 19 x 23.

• What are the factors of 1748?

  Factors of 1748 are 1 , 2 , 4 , 19 , 23 , 38 , 46 , 76 , 92 , 437 , 874 , 1748.

• Is 1748 a prime number or a composite number?

  1748 is a composite number.

• Is 1748 a prime number?

  false, 1748 is not a prime number.

• Which is the largest prime factors of 1748?

  The largest prime factor of 1748 is 23.

• What is the sum of all prime factors of 1748?

  Prime factors of 1748 are 2 x 2 x 19 x 23. Therefore, their sum is 46.

• What numbers are the prime factors of 1748?

  Prime factors of 1748 are 2 , 2 , 19 , 23.

• What is the sum of all odd prime factors of 1748?

  Prime factors of 1748 are 2 , 2 , 19 , 23, out of which 19 , 23 are odd numbers. So, the sum of odd prime factors of 1748 is 19 + 23 = 42.