Prime Factors of 858

Steps to find Prime Factors of 858 by Division Method

To find the primefactors of 858 using the division method, follow these steps:

• Step 1. Start dividing 858 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 858, which is 2. Divide 858 by 2 to obtain the quotient (429).
  858 ÷ 2 = 429
• Step 3. Repeat step 1 with the obtained quotient (429).
  429 ÷ 3 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 858 is, 858 = 2 x 3 x 11 x 13.

Steps to find Prime Factors of 858 by Factor Tree Method

We can follow the same procedure using the factor tree of 858 as shown below:

So, the prime factorization of 858 is, 858 = 2 x 3 x 11 x 13.

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 858 are 2 x 3 x 11 x 13.

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 858 but not a prime factor of 858.

Frequently Asked Questions

• Is 858 a prime number?

  false, 858 is not a prime number.

• How to find prime factorization of 858 easily?

  To find prime factorization of 858 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 858?

  The largest prime factor of 858 is 13.

• What is the sum of all prime factors of 858?

  Prime factors of 858 are 2 x 3 x 11 x 13. Therefore, their sum is 29.

• What is the product of all prime factors of 858?

  Prime factors of 858 are 2 x 3 x 11 x 13. Therefore, their product is 858.

• What numbers are the prime factors of 858?

  Prime factors of 858 are 2 , 3 , 11 , 13.

• What is the sum of all odd prime factors of 858?

  Prime factors of 858 are 2 , 3 , 11 , 13, out of which 3 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 858 is 3 + 11 + 13 = 27.

• Is there any even prime factor of 858?

  Yes there is a even prime factor of 858.

• What is the product of all odd prime factors of 858?

  Prime factors of 858 are 2 , 3 , 11 , 13, out of which 3 , 11 , 13 are odd numbers. So, the product of odd prime factors of 858 is 3 x 11 x 13 = 429.