Prime Factors of 84942

Steps to find Prime Factors of 84942 by Division Method

To find the primefactors of 84942 using the division method, follow these steps:

• Step 1. Start dividing 84942 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 84942, which is 2. Divide 84942 by 2 to obtain the quotient (42471).
  84942 ÷ 2 = 42471
• Step 3. Repeat step 1 with the obtained quotient (42471).
  42471 ÷ 3 = 14157
  14157 ÷ 3 = 4719
  4719 ÷ 3 = 1573
  1573 ÷ 11 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 84942 is, 84942 = 2 x 3 x 3 x 3 x 11 x 11 x 13.

Steps to find Prime Factors of 84942 by Factor Tree Method

We can follow the same procedure using the factor tree of 84942 as shown below:

So, the prime factorization of 84942 is, 84942 = 2 x 3 x 3 x 3 x 11 x 11 x 13.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 84942 are 2 x 3 x 3 x 3 x 11 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 84942 but not a prime factor of 84942.

Frequently Asked Questions

• Which is the smallest prime factor of 84942?

  Smallest prime factor of 84942 is 2.

• Is 84942 a perfect square?

  No 84942 is not a perfect square.

• What is the prime factorization of 84942?

  Prime factorization of 84942 is 2 x 3 x 3 x 3 x 11 x 11 x 13.

• What are the factors of 84942?

  Factors of 84942 are 1 , 2 , 3 , 6 , 9 , 11 , 13 , 18 , 22 , 26 , 27 , 33 , 39 , 54 , 66 , 78 , 99 , 117 , 121 , 143 , 198 , 234 , 242 , 286 , 297 , 351 , 363 , 429 , 594 , 702 , 726 , 858 , 1089 , 1287 , 1573 , 2178 , 2574 , 3146 , 3267 , 3861 , 4719 , 6534 , 7722 , 9438 , 14157 , 28314 , 42471 , 84942.

• What is the product of all prime factors of 84942?

  Prime factors of 84942 are 2 x 3 x 3 x 3 x 11 x 11 x 13. Therefore, their product is 84942.

• What numbers are the prime factors of 84942?

  Prime factors of 84942 are 2 , 3 , 3 , 3 , 11 , 11 , 13.

• What is the sum of all odd prime factors of 84942?

  Prime factors of 84942 are 2 , 3 , 3 , 3 , 11 , 11 , 13, out of which 3 , 3 , 3 , 11 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 84942 is 3 + 3 + 3 + 11 + 11 + 13 = 44.

• Is there any even prime factor of 84942?

  Yes there is a even prime factor of 84942.

• What is the product of all odd prime factors of 84942?

  Prime factors of 84942 are 2 , 3 , 3 , 3 , 11 , 11 , 13, out of which 3 , 3 , 3 , 11 , 11 , 13 are odd numbers. So, the product of odd prime factors of 84942 is 3 x 3 x 3 x 11 x 11 x 13 = 42471.