Prime Factors of 427

Steps to find Prime Factors of 427 by Division Method

To find the primefactors of 427 using the division method, follow these steps:

• Step 1. Start dividing 427 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 427, which is 7. Divide 427 by 7 to obtain the quotient (61).
  427 ÷ 7 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
  61 ÷ 61 = 1

So, the prime factorization of 427 is, 427 = 7 x 61.

Steps to find Prime Factors of 427 by Factor Tree Method

We can follow the same procedure using the factor tree of 427 as shown below:

So, the prime factorization of 427 is, 427 = 7 x 61.

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 427 are 7 x 61.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 427 but not a prime factor of 427.

Frequently Asked Questions

• Which is the smallest prime factor of 427?

  Smallest prime factor of 427 is 7.

• Is 427 a perfect square?

  No 427 is not a perfect square.

• What is the prime factorization of 427?

  Prime factorization of 427 is 7 x 61.

• What is prime factorization of 427 in exponential form?

  Prime factorization of 427 in exponential form is 7 x 61.

• Is 427 a prime number?

  false, 427 is not a prime number.

• Which is the largest prime factors of 427?

  The largest prime factor of 427 is 61.

• What is the product of all prime factors of 427?

  Prime factors of 427 are 7 x 61. Therefore, their product is 427.

• What is the sum of all odd prime factors of 427?

  Prime factors of 427 are 7 , 61, out of which 7 , 61 are odd numbers. So, the sum of odd prime factors of 427 is 7 + 61 = 68.

• What is the product of all odd prime factors of 427?

  Prime factors of 427 are 7 , 61, out of which 7 , 61 are odd numbers. So, the product of odd prime factors of 427 is 7 x 61 = 427.