Prime Factors of 703

Steps to find Prime Factors of 703 by Division Method

To find the primefactors of 703 using the division method, follow these steps:

• Step 1. Start dividing 703 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 703, which is 19. Divide 703 by 19 to obtain the quotient (37).
  703 ÷ 19 = 37
• Step 3. Repeat step 1 with the obtained quotient (37).
  37 ÷ 37 = 1

So, the prime factorization of 703 is, 703 = 19 x 37.

Steps to find Prime Factors of 703 by Factor Tree Method

We can follow the same procedure using the factor tree of 703 as shown below:

So, the prime factorization of 703 is, 703 = 19 x 37.

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 703 are 19 x 37.

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 703 but not a prime factor of 703.

Frequently Asked Questions

• Which is the smallest prime factor of 703?

  Smallest prime factor of 703 is 19.

• What are the factors of 703?

  Factors of 703 are 1 , 19 , 37 , 703.

• What is prime factorization of 703 in exponential form?

  Prime factorization of 703 in exponential form is 19 x 37.

• Is 703 a prime number or a composite number?

  703 is a composite number.

• Is 703 a prime number?

  false, 703 is not a prime number.

• What is the sum of all prime factors of 703?

  Prime factors of 703 are 19 x 37. Therefore, their sum is 56.

• What is the product of all prime factors of 703?

  Prime factors of 703 are 19 x 37. Therefore, their product is 703.

• What numbers are the prime factors of 703?

  Prime factors of 703 are 19 , 37.

• What is the sum of all odd prime factors of 703?

  Prime factors of 703 are 19 , 37, out of which 19 , 37 are odd numbers. So, the sum of odd prime factors of 703 is 19 + 37 = 56.