Prime Factors of 532

Steps to find Prime Factors of 532 by Division Method

To find the primefactors of 532 using the division method, follow these steps:

• Step 1. Start dividing 532 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 532, which is 2. Divide 532 by 2 to obtain the quotient (266).
  532 ÷ 2 = 266
• Step 3. Repeat step 1 with the obtained quotient (266).
  266 ÷ 2 = 133
  133 ÷ 7 = 19
  19 ÷ 19 = 1

So, the prime factorization of 532 is, 532 = 2 x 2 x 7 x 19.

Steps to find Prime Factors of 532 by Factor Tree Method

We can follow the same procedure using the factor tree of 532 as shown below:

So, the prime factorization of 532 is, 532 = 2 x 2 x 7 x 19.

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 532 are 2 x 2 x 7 x 19.

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 532 but not a prime factor of 532.

Frequently Asked Questions

• Which is the smallest prime factor of 532?

  Smallest prime factor of 532 is 2.

• What is the prime factorization of 532?

  Prime factorization of 532 is 2 x 2 x 7 x 19.

• What are the factors of 532?

  Factors of 532 are 1 , 2 , 4 , 7 , 14 , 19 , 28 , 38 , 76 , 133 , 266 , 532.

• Is 532 a prime number or a composite number?

  532 is a composite number.

• Is 532 a prime number?

  false, 532 is not a prime number.

• Which is the largest prime factors of 532?

  The largest prime factor of 532 is 19.

• What is the sum of all prime factors of 532?

  Prime factors of 532 are 2 x 2 x 7 x 19. Therefore, their sum is 30.

• What numbers are the prime factors of 532?

  Prime factors of 532 are 2 , 2 , 7 , 19.

• What is the sum of all odd prime factors of 532?

  Prime factors of 532 are 2 , 2 , 7 , 19, out of which 7 , 19 are odd numbers. So, the sum of odd prime factors of 532 is 7 + 19 = 26.