Prime Factors of 7999

Steps to find Prime Factors of 7999 by Division Method

To find the primefactors of 7999 using the division method, follow these steps:

• Step 1. Start dividing 7999 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 7999, which is 19. Divide 7999 by 19 to obtain the quotient (421).
  7999 ÷ 19 = 421
• Step 3. Repeat step 1 with the obtained quotient (421).
  421 ÷ 421 = 1

So, the prime factorization of 7999 is, 7999 = 19 x 421.

Steps to find Prime Factors of 7999 by Factor Tree Method

We can follow the same procedure using the factor tree of 7999 as shown below:

So, the prime factorization of 7999 is, 7999 = 19 x 421.

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 7999 are 19 x 421.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 7999 but not a prime factor of 7999.

Frequently Asked Questions

• Which is the smallest prime factor of 7999?

  Smallest prime factor of 7999 is 19.

• What are the factors of 7999?

  Factors of 7999 are 1 , 19 , 421 , 7999.

• What is prime factorization of 7999 in exponential form?

  Prime factorization of 7999 in exponential form is 19 x 421.

• Is 7999 a prime number or a composite number?

  7999 is a composite number.

• Is 7999 a prime number?

  false, 7999 is not a prime number.

• What is the sum of all prime factors of 7999?

  Prime factors of 7999 are 19 x 421. Therefore, their sum is 440.

• What is the product of all prime factors of 7999?

  Prime factors of 7999 are 19 x 421. Therefore, their product is 7999.

• What numbers are the prime factors of 7999?

  Prime factors of 7999 are 19 , 421.

• What is the sum of all odd prime factors of 7999?

  Prime factors of 7999 are 19 , 421, out of which 19 , 421 are odd numbers. So, the sum of odd prime factors of 7999 is 19 + 421 = 440.