# Prime Factors of 7003

Prime Factors of 7003 are 47 and 149

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

 1.   Prime Factorization of 7003 by Division Method 2.   Prime Factorization of 7003 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 7003 by Division Method

To find the primefactors of 7003 using the division method, follow these steps:

• Step 1. Start dividing 7003 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 7003, which is 47. Divide 7003 by 47 to obtain the quotient (149).
7003 ÷ 47 = 149
• Step 3. Repeat step 1 with the obtained quotient (149).
149 ÷ 149 = 1

So, the prime factorization of 7003 is, 7003 = 47 x 149.

#### Steps to find Prime Factors of 7003 by Factor Tree Method

We can follow the same procedure using the factor tree of 7003 as shown below:

So, the prime factorization of 7003 is, 7003 = 47 x 149.

#### 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 7003 are 47 x 149.

#### 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 7003 but not a prime factor of 7003.

• Which is the smallest prime factor of 7003?

Smallest prime factor of 7003 is 47.

• Is 7003 a perfect square?

No 7003 is not a perfect square.

• What is the prime factorization of 7003?

Prime factorization of 7003 is 47 x 149.

• What is prime factorization of 7003 in exponential form?

Prime factorization of 7003 in exponential form is 47 x 149.

• Is 7003 a prime number?

false, 7003 is not a prime number.

• Which is the largest prime factors of 7003?

The largest prime factor of 7003 is 149.

• What is the product of all prime factors of 7003?

Prime factors of 7003 are 47 x 149. Therefore, their product is 7003.

• What is the sum of all odd prime factors of 7003?

Prime factors of 7003 are 47 , 149, out of which 47 , 149 are odd numbers. So, the sum of odd prime factors of 7003 is 47 + 149 = 196.

• What is the product of all odd prime factors of 7003?

Prime factors of 7003 are 47 , 149, out of which 47 , 149 are odd numbers. So, the product of odd prime factors of 7003 is 47 x 149 = 7003.