Prime Factors of 159999

Steps to find Prime Factors of 159999 by Division Method

To find the primefactors of 159999 using the division method, follow these steps:

• Step 1. Start dividing 159999 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 159999, which is 3. Divide 159999 by 3 to obtain the quotient (53333).
  159999 ÷ 3 = 53333
• Step 3. Repeat step 1 with the obtained quotient (53333).
  53333 ÷ 7 = 7619
  7619 ÷ 19 = 401
  401 ÷ 401 = 1

So, the prime factorization of 159999 is, 159999 = 3 x 7 x 19 x 401.

Steps to find Prime Factors of 159999 by Factor Tree Method

We can follow the same procedure using the factor tree of 159999 as shown below:

So, the prime factorization of 159999 is, 159999 = 3 x 7 x 19 x 401.

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 159999 are 3 x 7 x 19 x 401.

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 159999 but not a prime factor of 159999.

Frequently Asked Questions

• Which is the smallest prime factor of 159999?

  Smallest prime factor of 159999 is 3.

• What are the factors of 159999?

  Factors of 159999 are 1 , 3 , 7 , 19 , 21 , 57 , 133 , 399 , 401 , 1203 , 2807 , 7619 , 8421 , 22857 , 53333 , 159999.

• What is prime factorization of 159999 in exponential form?

  Prime factorization of 159999 in exponential form is 3 x 7 x 19 x 401.

• Is 159999 a prime number or a composite number?

  159999 is a composite number.

• Is 159999 a prime number?

  false, 159999 is not a prime number.

• What is the sum of all prime factors of 159999?

  Prime factors of 159999 are 3 x 7 x 19 x 401. Therefore, their sum is 430.

• What is the product of all prime factors of 159999?

  Prime factors of 159999 are 3 x 7 x 19 x 401. Therefore, their product is 159999.

• What numbers are the prime factors of 159999?

  Prime factors of 159999 are 3 , 7 , 19 , 401.

• What is the sum of all odd prime factors of 159999?

  Prime factors of 159999 are 3 , 7 , 19 , 401, out of which 3 , 7 , 19 , 401 are odd numbers. So, the sum of odd prime factors of 159999 is 3 + 7 + 19 + 401 = 430.