Prime Factors of 7182

Steps to find Prime Factors of 7182 by Division Method

To find the primefactors of 7182 using the division method, follow these steps:

• Step 1. Start dividing 7182 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 7182, which is 2. Divide 7182 by 2 to obtain the quotient (3591).
  7182 ÷ 2 = 3591
• Step 3. Repeat step 1 with the obtained quotient (3591).
  3591 ÷ 3 = 1197
  1197 ÷ 3 = 399
  399 ÷ 3 = 133
  133 ÷ 7 = 19
  19 ÷ 19 = 1

So, the prime factorization of 7182 is, 7182 = 2 x 3 x 3 x 3 x 7 x 19.

Steps to find Prime Factors of 7182 by Factor Tree Method

We can follow the same procedure using the factor tree of 7182 as shown below:

So, the prime factorization of 7182 is, 7182 = 2 x 3 x 3 x 3 x 7 x 19.

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 7182 are 2 x 3 x 3 x 3 x 7 x 19.

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 7182 but not a prime factor of 7182.

Frequently Asked Questions

• Which is the smallest prime factor of 7182?

  Smallest prime factor of 7182 is 2.

• Is 7182 a perfect square?

  No 7182 is not a perfect square.

• What is the prime factorization of 7182?

  Prime factorization of 7182 is 2 x 3 x 3 x 3 x 7 x 19.

• What are the factors of 7182?

  Factors of 7182 are 1 , 2 , 3 , 6 , 7 , 9 , 14 , 18 , 19 , 21 , 27 , 38 , 42 , 54 , 57 , 63 , 114 , 126 , 133 , 171 , 189 , 266 , 342 , 378 , 399 , 513 , 798 , 1026 , 1197 , 2394 , 3591 , 7182.

• What is the product of all prime factors of 7182?

  Prime factors of 7182 are 2 x 3 x 3 x 3 x 7 x 19. Therefore, their product is 7182.

• What numbers are the prime factors of 7182?

  Prime factors of 7182 are 2 , 3 , 3 , 3 , 7 , 19.

• What is the sum of all odd prime factors of 7182?

  Prime factors of 7182 are 2 , 3 , 3 , 3 , 7 , 19, out of which 3 , 3 , 3 , 7 , 19 are odd numbers. So, the sum of odd prime factors of 7182 is 3 + 3 + 3 + 7 + 19 = 35.

• Is there any even prime factor of 7182?

  Yes there is a even prime factor of 7182.

• What is the product of all odd prime factors of 7182?

  Prime factors of 7182 are 2 , 3 , 3 , 3 , 7 , 19, out of which 3 , 3 , 3 , 7 , 19 are odd numbers. So, the product of odd prime factors of 7182 is 3 x 3 x 3 x 7 x 19 = 3591.