Prime Factors of 1007

Steps to find Prime Factors of 1007 by Division Method

To find the primefactors of 1007 using the division method, follow these steps:

• Step 1. Start dividing 1007 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 1007, which is 19. Divide 1007 by 19 to obtain the quotient (53).
  1007 ÷ 19 = 53
• Step 3. Repeat step 1 with the obtained quotient (53).
  53 ÷ 53 = 1

So, the prime factorization of 1007 is, 1007 = 19 x 53.

Steps to find Prime Factors of 1007 by Factor Tree Method

We can follow the same procedure using the factor tree of 1007 as shown below:

So, the prime factorization of 1007 is, 1007 = 19 x 53.

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 1007 are 19 x 53.

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 1007 but not a prime factor of 1007.

Frequently Asked Questions

• Which is the smallest prime factor of 1007?

  Smallest prime factor of 1007 is 19.

• What are the factors of 1007?

  Factors of 1007 are 1 , 19 , 53 , 1007.

• What is prime factorization of 1007 in exponential form?

  Prime factorization of 1007 in exponential form is 19 x 53.

• Is 1007 a prime number or a composite number?

  1007 is a composite number.

• Is 1007 a prime number?

  false, 1007 is not a prime number.

• What is the sum of all prime factors of 1007?

  Prime factors of 1007 are 19 x 53. Therefore, their sum is 72.

• What is the product of all prime factors of 1007?

  Prime factors of 1007 are 19 x 53. Therefore, their product is 1007.

• What numbers are the prime factors of 1007?

  Prime factors of 1007 are 19 , 53.

• What is the sum of all odd prime factors of 1007?

  Prime factors of 1007 are 19 , 53, out of which 19 , 53 are odd numbers. So, the sum of odd prime factors of 1007 is 19 + 53 = 72.