Prime Factors of 1258

Prime Factors of 1258 are 2, 17, and 37

How to find prime factors of a number

 1.   Prime Factorization of 1258 by Division Method 2.   Prime Factorization of 1258 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

Steps to find Prime Factors of 1258 by Division Method

To find the primefactors of 1258 using the division method, follow these steps:

• Step 1. Start dividing 1258 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 1258, which is 2. Divide 1258 by 2 to obtain the quotient (629).
1258 ÷ 2 = 629
• Step 3. Repeat step 1 with the obtained quotient (629).
629 ÷ 17 = 37
37 ÷ 37 = 1

So, the prime factorization of 1258 is, 1258 = 2 x 17 x 37.

Steps to find Prime Factors of 1258 by Factor Tree Method

We can follow the same procedure using the factor tree of 1258 as shown below:

So, the prime factorization of 1258 is, 1258 = 2 x 17 x 37.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 1258 are 2 x 17 x 37.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 1258 but not a prime factor of 1258.

• Is 1258 a prime number?

false, 1258 is not a prime number.

• How to find prime factorization of 1258 easily?

To find prime factorization of 1258 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1258?

The largest prime factor of 1258 is 37.

• What is the sum of all prime factors of 1258?

Prime factors of 1258 are 2 x 17 x 37. Therefore, their sum is 56.

• What is the product of all prime factors of 1258?

Prime factors of 1258 are 2 x 17 x 37. Therefore, their product is 1258.

• What numbers are the prime factors of 1258?

Prime factors of 1258 are 2 , 17 , 37.

• What is the sum of all odd prime factors of 1258?

Prime factors of 1258 are 2 , 17 , 37, out of which 17 , 37 are odd numbers. So, the sum of odd prime factors of 1258 is 17 + 37 = 54.

• Is there any even prime factor of 1258?

Yes there is a even prime factor of 1258.

• What is the product of all odd prime factors of 1258?

Prime factors of 1258 are 2 , 17 , 37, out of which 17 , 37 are odd numbers. So, the product of odd prime factors of 1258 is 17 x 37 = 629.