# Prime Factors of 1687

Prime Factors of 1687 are 7 and 241

#### How to find prime factors of a number

 1.   Prime Factorization of 1687 by Division Method 2.   Prime Factorization of 1687 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 1687 by Division Method

To find the primefactors of 1687 using the division method, follow these steps:

• Step 1. Start dividing 1687 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 1687, which is 7. Divide 1687 by 7 to obtain the quotient (241).
1687 ÷ 7 = 241
• Step 3. Repeat step 1 with the obtained quotient (241).
241 ÷ 241 = 1

So, the prime factorization of 1687 is, 1687 = 7 x 241.

#### Steps to find Prime Factors of 1687 by Factor Tree Method

We can follow the same procedure using the factor tree of 1687 as shown below:

So, the prime factorization of 1687 is, 1687 = 7 x 241.

#### How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 1687 are 7 x 241.

#### 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 1687 but not a prime factor of 1687.

• Which is the smallest prime factor of 1687?

Smallest prime factor of 1687 is 7.

• What are the factors of 1687?

Factors of 1687 are 1 , 7 , 241 , 1687.

• What is prime factorization of 1687 in exponential form?

Prime factorization of 1687 in exponential form is 7 x 241.

• Is 1687 a prime number or a composite number?

1687 is a composite number.

• Is 1687 a prime number?

false, 1687 is not a prime number.

• What is the sum of all prime factors of 1687?

Prime factors of 1687 are 7 x 241. Therefore, their sum is 248.

• What is the product of all prime factors of 1687?

Prime factors of 1687 are 7 x 241. Therefore, their product is 1687.

• What numbers are the prime factors of 1687?

Prime factors of 1687 are 7 , 241.

• What is the sum of all odd prime factors of 1687?

Prime factors of 1687 are 7 , 241, out of which 7 , 241 are odd numbers. So, the sum of odd prime factors of 1687 is 7 + 241 = 248.