Prime Factors of 1052

Steps to find Prime Factors of 1052 by Division Method

To find the primefactors of 1052 using the division method, follow these steps:

• Step 1. Start dividing 1052 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 1052, which is 2. Divide 1052 by 2 to obtain the quotient (526).
  1052 ÷ 2 = 526
• Step 3. Repeat step 1 with the obtained quotient (526).
  526 ÷ 2 = 263
  263 ÷ 263 = 1

So, the prime factorization of 1052 is, 1052 = 2 x 2 x 263.

Steps to find Prime Factors of 1052 by Factor Tree Method

We can follow the same procedure using the factor tree of 1052 as shown below:

So, the prime factorization of 1052 is, 1052 = 2 x 2 x 263.

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 1052 are 2 x 2 x 263.

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 1052 but not a prime factor of 1052.

Frequently Asked Questions

• Which is the smallest prime factor of 1052?

  Smallest prime factor of 1052 is 2.

• What is the prime factorization of 1052?

  Prime factorization of 1052 is 2 x 2 x 263.

• What are the factors of 1052?

  Factors of 1052 are 1 , 2 , 4 , 263 , 526 , 1052.

• Is 1052 a prime number or a composite number?

  1052 is a composite number.

• Is 1052 a prime number?

  false, 1052 is not a prime number.

• Which is the largest prime factors of 1052?

  The largest prime factor of 1052 is 263.

• What is the sum of all prime factors of 1052?

  Prime factors of 1052 are 2 x 2 x 263. Therefore, their sum is 267.

• What numbers are the prime factors of 1052?

  Prime factors of 1052 are 2 , 2 , 263.

• What is the sum of all odd prime factors of 1052?

  Prime factors of 1052 are 2 , 2 , 263, out of which 263 are odd numbers. So, the sum of odd prime factors of 1052 is 263 = 263.