Prime Factors of 4158

Steps to find Prime Factors of 4158 by Division Method

To find the primefactors of 4158 using the division method, follow these steps:

• Step 1. Start dividing 4158 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 4158, which is 2. Divide 4158 by 2 to obtain the quotient (2079).
  4158 ÷ 2 = 2079
• Step 3. Repeat step 1 with the obtained quotient (2079).
  2079 ÷ 3 = 693
  693 ÷ 3 = 231
  231 ÷ 3 = 77
  77 ÷ 7 = 11
  11 ÷ 11 = 1

So, the prime factorization of 4158 is, 4158 = 2 x 3 x 3 x 3 x 7 x 11.

Steps to find Prime Factors of 4158 by Factor Tree Method

We can follow the same procedure using the factor tree of 4158 as shown below:

So, the prime factorization of 4158 is, 4158 = 2 x 3 x 3 x 3 x 7 x 11.

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 4158 are 2 x 3 x 3 x 3 x 7 x 11.

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 4158 but not a prime factor of 4158.

Frequently Asked Questions

• Which is the smallest prime factor of 4158?

  Smallest prime factor of 4158 is 2.

• Is 4158 a perfect square?

  No 4158 is not a perfect square.

• What is the prime factorization of 4158?

  Prime factorization of 4158 is 2 x 3 x 3 x 3 x 7 x 11.

• What are the factors of 4158?

  Factors of 4158 are 1 , 2 , 3 , 6 , 7 , 9 , 11 , 14 , 18 , 21 , 22 , 27 , 33 , 42 , 54 , 63 , 66 , 77 , 99 , 126 , 154 , 189 , 198 , 231 , 297 , 378 , 462 , 594 , 693 , 1386 , 2079 , 4158.

• What is the product of all prime factors of 4158?

  Prime factors of 4158 are 2 x 3 x 3 x 3 x 7 x 11. Therefore, their product is 4158.

• What numbers are the prime factors of 4158?

  Prime factors of 4158 are 2 , 3 , 3 , 3 , 7 , 11.

• What is the sum of all odd prime factors of 4158?

  Prime factors of 4158 are 2 , 3 , 3 , 3 , 7 , 11, out of which 3 , 3 , 3 , 7 , 11 are odd numbers. So, the sum of odd prime factors of 4158 is 3 + 3 + 3 + 7 + 11 = 27.

• Is there any even prime factor of 4158?

  Yes there is a even prime factor of 4158.

• What is the product of all odd prime factors of 4158?

  Prime factors of 4158 are 2 , 3 , 3 , 3 , 7 , 11, out of which 3 , 3 , 3 , 7 , 11 are odd numbers. So, the product of odd prime factors of 4158 is 3 x 3 x 3 x 7 x 11 = 2079.