Steps to find Prime Factors of 378 by Division Method

To find the primefactors of 378 using the division method, follow these steps:

  • Step 1. Start dividing 378 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 378, which is 2. Divide 378 by 2 to obtain the quotient (189).
    378 ÷ 2 = 189
  • Step 3. Repeat step 1 with the obtained quotient (189).
    189 ÷ 3 = 63
    63 ÷ 3 = 21
    21 ÷ 3 = 7
    7 ÷ 7 = 1

So, the prime factorization of 378 is, 378 = 2 x 3 x 3 x 3 x 7.

Steps to find Prime Factors of 378 by Factor Tree Method

We can follow the same procedure using the factor tree of 378 as shown below:

So, the prime factorization of 378 is, 378 = 2 x 3 x 3 x 3 x 7.

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 378 are 2 x 3 x 3 x 3 x 7.

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 378 but not a prime factor of 378.

Frequently Asked Questions

  • Is 378 a prime number?

    false, 378 is not a prime number.

  • How to find prime factorization of 378 easily?

    To find prime factorization of 378 easily you can refer to the steps given on this page step by step.

  • Which is the largest prime factors of 378?

    The largest prime factor of 378 is 7.

  • What is the sum of all prime factors of 378?

    Prime factors of 378 are 2 x 3 x 3 x 3 x 7. Therefore, their sum is 18.

  • What is the product of all prime factors of 378?

    Prime factors of 378 are 2 x 3 x 3 x 3 x 7. Therefore, their product is 378.

  • What numbers are the prime factors of 378?

    Prime factors of 378 are 2 , 3 , 3 , 3 , 7.

  • What is the sum of all odd prime factors of 378?

    Prime factors of 378 are 2 , 3 , 3 , 3 , 7, out of which 3 , 3 , 3 , 7 are odd numbers. So, the sum of odd prime factors of 378 is 3 + 3 + 3 + 7 = 16.

  • Is there any even prime factor of 378?

    Yes there is a even prime factor of 378.

  • What is the product of all odd prime factors of 378?

    Prime factors of 378 are 2 , 3 , 3 , 3 , 7, out of which 3 , 3 , 3 , 7 are odd numbers. So, the product of odd prime factors of 378 is 3 x 3 x 3 x 7 = 189.