Prime Factors of 1807

Steps to find Prime Factors of 1807 by Division Method

To find the primefactors of 1807 using the division method, follow these steps:

• Step 1. Start dividing 1807 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 1807, which is 13. Divide 1807 by 13 to obtain the quotient (139).
  1807 ÷ 13 = 139
• Step 3. Repeat step 1 with the obtained quotient (139).
  139 ÷ 139 = 1

So, the prime factorization of 1807 is, 1807 = 13 x 139.

Steps to find Prime Factors of 1807 by Factor Tree Method

We can follow the same procedure using the factor tree of 1807 as shown below:

So, the prime factorization of 1807 is, 1807 = 13 x 139.

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 1807 are 13 x 139.

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 1807 but not a prime factor of 1807.

Frequently Asked Questions

• Which is the smallest prime factor of 1807?

  Smallest prime factor of 1807 is 13.

• What are the factors of 1807?

  Factors of 1807 are 1 , 13 , 139 , 1807.

• What is prime factorization of 1807 in exponential form?

  Prime factorization of 1807 in exponential form is 13 x 139.

• Is 1807 a prime number or a composite number?

  1807 is a composite number.

• Is 1807 a prime number?

  false, 1807 is not a prime number.

• What is the sum of all prime factors of 1807?

  Prime factors of 1807 are 13 x 139. Therefore, their sum is 152.

• What is the product of all prime factors of 1807?

  Prime factors of 1807 are 13 x 139. Therefore, their product is 1807.

• What numbers are the prime factors of 1807?

  Prime factors of 1807 are 13 , 139.

• What is the sum of all odd prime factors of 1807?

  Prime factors of 1807 are 13 , 139, out of which 13 , 139 are odd numbers. So, the sum of odd prime factors of 1807 is 13 + 139 = 152.