Prime Factors of 868

Steps to find Prime Factors of 868 by Division Method

To find the primefactors of 868 using the division method, follow these steps:

• Step 1. Start dividing 868 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 868, which is 2. Divide 868 by 2 to obtain the quotient (434).
  868 ÷ 2 = 434
• Step 3. Repeat step 1 with the obtained quotient (434).
  434 ÷ 2 = 217
  217 ÷ 7 = 31
  31 ÷ 31 = 1

So, the prime factorization of 868 is, 868 = 2 x 2 x 7 x 31.

Steps to find Prime Factors of 868 by Factor Tree Method

We can follow the same procedure using the factor tree of 868 as shown below:

So, the prime factorization of 868 is, 868 = 2 x 2 x 7 x 31.

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 868 are 2 x 2 x 7 x 31.

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 868 but not a prime factor of 868.

Frequently Asked Questions

• Which is the smallest prime factor of 868?

  Smallest prime factor of 868 is 2.

• What is the prime factorization of 868?

  Prime factorization of 868 is 2 x 2 x 7 x 31.

• What are the factors of 868?

  Factors of 868 are 1 , 2 , 4 , 7 , 14 , 28 , 31 , 62 , 124 , 217 , 434 , 868.

• Is 868 a prime number or a composite number?

  868 is a composite number.

• Is 868 a prime number?

  false, 868 is not a prime number.

• Which is the largest prime factors of 868?

  The largest prime factor of 868 is 31.

• What is the sum of all prime factors of 868?

  Prime factors of 868 are 2 x 2 x 7 x 31. Therefore, their sum is 42.

• What numbers are the prime factors of 868?

  Prime factors of 868 are 2 , 2 , 7 , 31.

• What is the sum of all odd prime factors of 868?

  Prime factors of 868 are 2 , 2 , 7 , 31, out of which 7 , 31 are odd numbers. So, the sum of odd prime factors of 868 is 7 + 31 = 38.