Prime Factors of 7553

Steps to find Prime Factors of 7553 by Division Method

To find the primefactors of 7553 using the division method, follow these steps:

• Step 1. Start dividing 7553 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 7553, which is 7. Divide 7553 by 7 to obtain the quotient (1079).
  7553 ÷ 7 = 1079
• Step 3. Repeat step 1 with the obtained quotient (1079).
  1079 ÷ 13 = 83
  83 ÷ 83 = 1

So, the prime factorization of 7553 is, 7553 = 7 x 13 x 83.

Steps to find Prime Factors of 7553 by Factor Tree Method

We can follow the same procedure using the factor tree of 7553 as shown below:

So, the prime factorization of 7553 is, 7553 = 7 x 13 x 83.

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 7553 are 7 x 13 x 83.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors 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 7553 but not a prime factor of 7553.

Frequently Asked Questions

• Which is the smallest prime factor of 7553?

  Smallest prime factor of 7553 is 7.

• What is the prime factorization of 7553?

  Prime factorization of 7553 is 7 x 13 x 83.

• What is prime factorization of 7553 in exponential form?

  Prime factorization of 7553 in exponential form is 7 x 13 x 83.

• Is 7553 a prime number or a composite number?

  7553 is a composite number.

• Is 7553 a prime number?

  false, 7553 is not a prime number.

• How to find prime factorization of 7553 easily?

  To find prime factorization of 7553 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 7553?

  The largest prime factor of 7553 is 83.

• What is the product of all prime factors of 7553?

  Prime factors of 7553 are 7 x 13 x 83. Therefore, their product is 7553.

• What is the sum of all odd prime factors of 7553?

  Prime factors of 7553 are 7 , 13 , 83, out of which 7 , 13 , 83 are odd numbers. So, the sum of odd prime factors of 7553 is 7 + 13 + 83 = 103.