Prime Factors of 7007

Steps to find Prime Factors of 7007 by Division Method

To find the primefactors of 7007 using the division method, follow these steps:

• Step 1. Start dividing 7007 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 7007, which is 7. Divide 7007 by 7 to obtain the quotient (1001).
  7007 ÷ 7 = 1001
• Step 3. Repeat step 1 with the obtained quotient (1001).
  1001 ÷ 7 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 7007 is, 7007 = 7 x 7 x 11 x 13.

Steps to find Prime Factors of 7007 by Factor Tree Method

We can follow the same procedure using the factor tree of 7007 as shown below:

So, the prime factorization of 7007 is, 7007 = 7 x 7 x 11 x 13.

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 7007 are 7 x 7 x 11 x 13.

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 7007 but not a prime factor of 7007.

Frequently Asked Questions

• Which is the smallest prime factor of 7007?

  Smallest prime factor of 7007 is 7.

• What are the factors of 7007?

  Factors of 7007 are 1 , 7 , 11 , 13 , 49 , 77 , 91 , 143 , 539 , 637 , 1001 , 7007.

• What is prime factorization of 7007 in exponential form?

  Prime factorization of 7007 in exponential form is 7² x 11 x 13.

• Is 7007 a prime number or a composite number?

  7007 is a composite number.

• Is 7007 a prime number?

  false, 7007 is not a prime number.

• What is the sum of all prime factors of 7007?

  Prime factors of 7007 are 7 x 7 x 11 x 13. Therefore, their sum is 38.

• What is the product of all prime factors of 7007?

  Prime factors of 7007 are 7 x 7 x 11 x 13. Therefore, their product is 7007.

• What numbers are the prime factors of 7007?

  Prime factors of 7007 are 7 , 7 , 11 , 13.

• What is the sum of all odd prime factors of 7007?

  Prime factors of 7007 are 7 , 7 , 11 , 13, out of which 7 , 7 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 7007 is 7 + 7 + 11 + 13 = 38.