Prime Factors of 1259

Steps to find Prime Factors of 1259 by Division Method

To find the primefactors of 1259 using the division method, follow these steps:

• Step 1. Start dividing 1259 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 1259, which is 1259. Divide 1259 by 1259 to obtain the quotient (1).
  1259 ÷ 1259 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1259 is, 1259 = 1259.

Steps to find Prime Factors of 1259 by Factor Tree Method

We can follow the same procedure using the factor tree of 1259 as shown below:

So, the prime factorization of 1259 is, 1259 = 1259.

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 1259 are 1259.

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 1259 but not a prime factor of 1259.

Frequently Asked Questions

• Which is the smallest prime factor of 1259?

  Smallest prime factor of 1259 is 1259.

• Is 1259 a perfect square?

  No 1259 is not a perfect square.

• What is the prime factorization of 1259?

  Prime factorization of 1259 is 1259.

• What is prime factorization of 1259 in exponential form?

  Prime factorization of 1259 in exponential form is 1259.

• Is 1259 a prime number?

  true, 1259 is a prime number.

• Which is the largest prime factors of 1259?

  The largest prime factor of 1259 is 1259.

• What is the product of all prime factors of 1259?

  Prime factors of 1259 are 1259. Therefore, their product is 1259.

• What is the sum of all odd prime factors of 1259?

  Prime factors of 1259 are 1259, out of which 1259 are odd numbers. So, the sum of odd prime factors of 1259 is 1259 = 1259.

• What is the product of all odd prime factors of 1259?

  Prime factors of 1259 are 1259, out of which 1259 are odd numbers. So, the product of odd prime factors of 1259 is 1259 = 1259.