Prime Factors of 7084

Steps to find Prime Factors of 7084 by Division Method

To find the primefactors of 7084 using the division method, follow these steps:

• Step 1. Start dividing 7084 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 7084, which is 2. Divide 7084 by 2 to obtain the quotient (3542).
  7084 ÷ 2 = 3542
• Step 3. Repeat step 1 with the obtained quotient (3542).
  3542 ÷ 2 = 1771
  1771 ÷ 7 = 253
  253 ÷ 11 = 23
  23 ÷ 23 = 1

So, the prime factorization of 7084 is, 7084 = 2 x 2 x 7 x 11 x 23.

Steps to find Prime Factors of 7084 by Factor Tree Method

We can follow the same procedure using the factor tree of 7084 as shown below:

So, the prime factorization of 7084 is, 7084 = 2 x 2 x 7 x 11 x 23.

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 7084 are 2 x 2 x 7 x 11 x 23.

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 7084 but not a prime factor of 7084.

Frequently Asked Questions

• Which is the smallest prime factor of 7084?

  Smallest prime factor of 7084 is 2.

• What is the prime factorization of 7084?

  Prime factorization of 7084 is 2 x 2 x 7 x 11 x 23.

• What are the factors of 7084?

  Factors of 7084 are 1 , 2 , 4 , 7 , 11 , 14 , 22 , 23 , 28 , 44 , 46 , 77 , 92 , 154 , 161 , 253 , 308 , 322 , 506 , 644 , 1012 , 1771 , 3542 , 7084.

• Is 7084 a prime number or a composite number?

  7084 is a composite number.

• Is 7084 a prime number?

  false, 7084 is not a prime number.

• Which is the largest prime factors of 7084?

  The largest prime factor of 7084 is 23.

• What is the sum of all prime factors of 7084?

  Prime factors of 7084 are 2 x 2 x 7 x 11 x 23. Therefore, their sum is 45.

• What numbers are the prime factors of 7084?

  Prime factors of 7084 are 2 , 2 , 7 , 11 , 23.

• What is the sum of all odd prime factors of 7084?

  Prime factors of 7084 are 2 , 2 , 7 , 11 , 23, out of which 7 , 11 , 23 are odd numbers. So, the sum of odd prime factors of 7084 is 7 + 11 + 23 = 41.