Prime Factors of 884

Steps to find Prime Factors of 884 by Division Method

To find the primefactors of 884 using the division method, follow these steps:

• Step 1. Start dividing 884 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 884, which is 2. Divide 884 by 2 to obtain the quotient (442).
  884 ÷ 2 = 442
• Step 3. Repeat step 1 with the obtained quotient (442).
  442 ÷ 2 = 221
  221 ÷ 13 = 17
  17 ÷ 17 = 1

So, the prime factorization of 884 is, 884 = 2 x 2 x 13 x 17.

Steps to find Prime Factors of 884 by Factor Tree Method

We can follow the same procedure using the factor tree of 884 as shown below:

So, the prime factorization of 884 is, 884 = 2 x 2 x 13 x 17.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 884 are 2 x 2 x 13 x 17.

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 884 but not a prime factor of 884.

Frequently Asked Questions

• Which is the smallest prime factor of 884?

  Smallest prime factor of 884 is 2.

• What is the prime factorization of 884?

  Prime factorization of 884 is 2 x 2 x 13 x 17.

• What are the factors of 884?

  Factors of 884 are 1 , 2 , 4 , 13 , 17 , 26 , 34 , 52 , 68 , 221 , 442 , 884.

• Is 884 a prime number or a composite number?

  884 is a composite number.

• Is 884 a prime number?

  false, 884 is not a prime number.

• Which is the largest prime factors of 884?

  The largest prime factor of 884 is 17.

• What is the sum of all prime factors of 884?

  Prime factors of 884 are 2 x 2 x 13 x 17. Therefore, their sum is 34.

• What numbers are the prime factors of 884?

  Prime factors of 884 are 2 , 2 , 13 , 17.

• What is the sum of all odd prime factors of 884?

  Prime factors of 884 are 2 , 2 , 13 , 17, out of which 13 , 17 are odd numbers. So, the sum of odd prime factors of 884 is 13 + 17 = 30.