Prime Factors of 5572

Steps to find Prime Factors of 5572 by Division Method

To find the primefactors of 5572 using the division method, follow these steps:

• Step 1. Start dividing 5572 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 5572, which is 2. Divide 5572 by 2 to obtain the quotient (2786).
  5572 ÷ 2 = 2786
• Step 3. Repeat step 1 with the obtained quotient (2786).
  2786 ÷ 2 = 1393
  1393 ÷ 7 = 199
  199 ÷ 199 = 1

So, the prime factorization of 5572 is, 5572 = 2 x 2 x 7 x 199.

Steps to find Prime Factors of 5572 by Factor Tree Method

We can follow the same procedure using the factor tree of 5572 as shown below:

So, the prime factorization of 5572 is, 5572 = 2 x 2 x 7 x 199.

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 5572 are 2 x 2 x 7 x 199.

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 5572 but not a prime factor of 5572.

Frequently Asked Questions

• Which is the smallest prime factor of 5572?

  Smallest prime factor of 5572 is 2.

• What is the prime factorization of 5572?

  Prime factorization of 5572 is 2 x 2 x 7 x 199.

• What are the factors of 5572?

  Factors of 5572 are 1 , 2 , 4 , 7 , 14 , 28 , 199 , 398 , 796 , 1393 , 2786 , 5572.

• Is 5572 a prime number or a composite number?

  5572 is a composite number.

• Is 5572 a prime number?

  false, 5572 is not a prime number.

• Which is the largest prime factors of 5572?

  The largest prime factor of 5572 is 199.

• What is the sum of all prime factors of 5572?

  Prime factors of 5572 are 2 x 2 x 7 x 199. Therefore, their sum is 210.

• What numbers are the prime factors of 5572?

  Prime factors of 5572 are 2 , 2 , 7 , 199.

• What is the sum of all odd prime factors of 5572?

  Prime factors of 5572 are 2 , 2 , 7 , 199, out of which 7 , 199 are odd numbers. So, the sum of odd prime factors of 5572 is 7 + 199 = 206.