Prime Factors of 925

Prime Factors of 925 are 5, 5, and 37

How to find prime factors of a number

 1.   Prime Factorization of 925 by Division Method 2.   Prime Factorization of 925 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

Steps to find Prime Factors of 925 by Division Method

To find the primefactors of 925 using the division method, follow these steps:

• Step 1. Start dividing 925 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 925, which is 5. Divide 925 by 5 to obtain the quotient (185).
925 ÷ 5 = 185
• Step 3. Repeat step 1 with the obtained quotient (185).
185 ÷ 5 = 37
37 ÷ 37 = 1

So, the prime factorization of 925 is, 925 = 5 x 5 x 37.

Steps to find Prime Factors of 925 by Factor Tree Method

We can follow the same procedure using the factor tree of 925 as shown below:

So, the prime factorization of 925 is, 925 = 5 x 5 x 37.

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 925 are 5 x 5 x 37.

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 925 but not a prime factor of 925.

Frequently Asked Questions

• Which is the smallest prime factor of 925?

Smallest prime factor of 925 is 5.

• Is 925 a perfect square?

No 925 is not a perfect square.

• What is the prime factorization of 925?

Prime factorization of 925 is 5 x 5 x 37.

• What are the factors of 925?

Factors of 925 are 1 , 5 , 25 , 37 , 185 , 925.

• What is prime factorization of 925 in exponential form?

Prime factorization of 925 in exponential form is 52 x 37.

• Is 925 a prime number or a composite number?

925 is a composite number.

• Is 925 a prime number?

false, 925 is not a prime number.

• How to find prime factorization of 925 easily?

To find prime factorization of 925 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 925?

The largest prime factor of 925 is 37.

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