Prime Factors of 59

Steps to find Prime Factors of 59 by Division Method

To find the primefactors of 59 using the division method, follow these steps:

• Step 1. Start dividing 59 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 59, which is 59. Divide 59 by 59 to obtain the quotient (1).
  59 ÷ 59 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 59 is, 59 = 59.

Steps to find Prime Factors of 59 by Factor Tree Method

We can follow the same procedure using the factor tree of 59 as shown below:

So, the prime factorization of 59 is, 59 = 59.

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 59 are 59.

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 59 but not a prime factor of 59.

Frequently Asked Questions

• Which is the smallest prime factor of 59?

  Smallest prime factor of 59 is 59.

• Is 59 a perfect square?

  No 59 is not a perfect square.

• What is the prime factorization of 59?

  Prime factorization of 59 is 59.

• What is prime factorization of 59 in exponential form?

  Prime factorization of 59 in exponential form is 59.

• Is 59 a prime number?

  true, 59 is a prime number.

• Which is the largest prime factors of 59?

  The largest prime factor of 59 is 59.

• What is the product of all prime factors of 59?

  Prime factors of 59 are 59. Therefore, their product is 59.

• What is the sum of all odd prime factors of 59?

  Prime factors of 59 are 59, out of which 59 are odd numbers. So, the sum of odd prime factors of 59 is 59 = 59.

• What is the product of all odd prime factors of 59?

  Prime factors of 59 are 59, out of which 59 are odd numbers. So, the product of odd prime factors of 59 is 59 = 59.