Prime Factors of 874

Steps to find Prime Factors of 874 by Division Method

To find the primefactors of 874 using the division method, follow these steps:

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

So, the prime factorization of 874 is, 874 = 2 x 19 x 23.

Steps to find Prime Factors of 874 by Factor Tree Method

We can follow the same procedure using the factor tree of 874 as shown below:

So, the prime factorization of 874 is, 874 = 2 x 19 x 23.

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 874 are 2 x 19 x 23.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 874 but not a prime factor of 874.

Frequently Asked Questions

• Is 874 a prime number?

  false, 874 is not a prime number.

• How to find prime factorization of 874 easily?

  To find prime factorization of 874 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 874?

  The largest prime factor of 874 is 23.

• What is the sum of all prime factors of 874?

  Prime factors of 874 are 2 x 19 x 23. Therefore, their sum is 44.

• What is the product of all prime factors of 874?

  Prime factors of 874 are 2 x 19 x 23. Therefore, their product is 874.

• What numbers are the prime factors of 874?

  Prime factors of 874 are 2 , 19 , 23.

• What is the sum of all odd prime factors of 874?

  Prime factors of 874 are 2 , 19 , 23, out of which 19 , 23 are odd numbers. So, the sum of odd prime factors of 874 is 19 + 23 = 42.

• Is there any even prime factor of 874?

  Yes there is a even prime factor of 874.

• What is the product of all odd prime factors of 874?

  Prime factors of 874 are 2 , 19 , 23, out of which 19 , 23 are odd numbers. So, the product of odd prime factors of 874 is 19 x 23 = 437.