Prime Factors of 1372

Steps to find Prime Factors of 1372 by Division Method

To find the primefactors of 1372 using the division method, follow these steps:

• Step 1. Start dividing 1372 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 1372, which is 2. Divide 1372 by 2 to obtain the quotient (686).
  1372 ÷ 2 = 686
• Step 3. Repeat step 1 with the obtained quotient (686).
  686 ÷ 2 = 343
  343 ÷ 7 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 1372 is, 1372 = 2 x 2 x 7 x 7 x 7.

Steps to find Prime Factors of 1372 by Factor Tree Method

We can follow the same procedure using the factor tree of 1372 as shown below:

So, the prime factorization of 1372 is, 1372 = 2 x 2 x 7 x 7 x 7.

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 1372 are 2 x 2 x 7 x 7 x 7.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 1372 but not a prime factor of 1372.

Frequently Asked Questions

• Which is the smallest prime factor of 1372?

  Smallest prime factor of 1372 is 2.

• What is the prime factorization of 1372?

  Prime factorization of 1372 is 2 x 2 x 7 x 7 x 7.

• What are the factors of 1372?

  Factors of 1372 are 1 , 2 , 4 , 7 , 14 , 28 , 49 , 98 , 196 , 343 , 686 , 1372.

• Is 1372 a prime number or a composite number?

  1372 is a composite number.

• Is 1372 a prime number?

  false, 1372 is not a prime number.

• Which is the largest prime factors of 1372?

  The largest prime factor of 1372 is 7.

• What is the sum of all prime factors of 1372?

  Prime factors of 1372 are 2 x 2 x 7 x 7 x 7. Therefore, their sum is 25.

• What numbers are the prime factors of 1372?

  Prime factors of 1372 are 2 , 2 , 7 , 7 , 7.

• What is the sum of all odd prime factors of 1372?

  Prime factors of 1372 are 2 , 2 , 7 , 7 , 7, out of which 7 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 1372 is 7 + 7 + 7 = 21.