Prime Factors of 98175

Steps to find Prime Factors of 98175 by Division Method

To find the primefactors of 98175 using the division method, follow these steps:

• Step 1. Start dividing 98175 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 98175, which is 3. Divide 98175 by 3 to obtain the quotient (32725).
  98175 ÷ 3 = 32725
• Step 3. Repeat step 1 with the obtained quotient (32725).
  32725 ÷ 5 = 6545
  6545 ÷ 5 = 1309
  1309 ÷ 7 = 187
  187 ÷ 11 = 17
  17 ÷ 17 = 1

So, the prime factorization of 98175 is, 98175 = 3 x 5 x 5 x 7 x 11 x 17.

Steps to find Prime Factors of 98175 by Factor Tree Method

We can follow the same procedure using the factor tree of 98175 as shown below:

So, the prime factorization of 98175 is, 98175 = 3 x 5 x 5 x 7 x 11 x 17.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 98175 are 3 x 5 x 5 x 7 x 11 x 17.

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 98175 but not a prime factor of 98175.

Frequently Asked Questions

• Which is the smallest prime factor of 98175?

  Smallest prime factor of 98175 is 3.

• What are the factors of 98175?

  Factors of 98175 are 1 , 3 , 5 , 7 , 11 , 15 , 17 , 21 , 25 , 33 , 35 , 51 , 55 , 75 , 77 , 85 , 105 , 119 , 165 , 175 , 187 , 231 , 255 , 275 , 357 , 385 , 425 , 525 , 561 , 595 , 825 , 935 , 1155 , 1275 , 1309 , 1785 , 1925 , 2805 , 2975 , 3927 , 4675 , 5775 , 6545 , 8925 , 14025 , 19635 , 32725 , 98175.

• What is prime factorization of 98175 in exponential form?

  Prime factorization of 98175 in exponential form is 3 x 5² x 7 x 11 x 17.

• Is 98175 a prime number or a composite number?

  98175 is a composite number.

• Is 98175 a prime number?

  false, 98175 is not a prime number.

• What is the sum of all prime factors of 98175?

  Prime factors of 98175 are 3 x 5 x 5 x 7 x 11 x 17. Therefore, their sum is 48.

• What is the product of all prime factors of 98175?

  Prime factors of 98175 are 3 x 5 x 5 x 7 x 11 x 17. Therefore, their product is 98175.

• What numbers are the prime factors of 98175?

  Prime factors of 98175 are 3 , 5 , 5 , 7 , 11 , 17.

• What is the sum of all odd prime factors of 98175?

  Prime factors of 98175 are 3 , 5 , 5 , 7 , 11 , 17, out of which 3 , 5 , 5 , 7 , 11 , 17 are odd numbers. So, the sum of odd prime factors of 98175 is 3 + 5 + 5 + 7 + 11 + 17 = 48.