# Prime Factors of 7448

Prime Factors of 7448 are 2, 2, 2, 7, 7, and 19

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

 1.   Prime Factorization of 7448 by Division Method 2.   Prime Factorization of 7448 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 7448 by Division Method

To find the primefactors of 7448 using the division method, follow these steps:

• Step 1. Start dividing 7448 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 7448, which is 2. Divide 7448 by 2 to obtain the quotient (3724).
7448 ÷ 2 = 3724
• Step 3. Repeat step 1 with the obtained quotient (3724).
3724 ÷ 2 = 1862
1862 ÷ 2 = 931
931 ÷ 7 = 133
133 ÷ 7 = 19
19 ÷ 19 = 1

So, the prime factorization of 7448 is, 7448 = 2 x 2 x 2 x 7 x 7 x 19.

#### Steps to find Prime Factors of 7448 by Factor Tree Method

We can follow the same procedure using the factor tree of 7448 as shown below:

So, the prime factorization of 7448 is, 7448 = 2 x 2 x 2 x 7 x 7 x 19.

#### 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 7448 are 2 x 2 x 2 x 7 x 7 x 19.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 7448 but not a prime factor of 7448.

• Which is the smallest prime factor of 7448?

Smallest prime factor of 7448 is 2.

• Is 7448 a perfect square?

No 7448 is not a perfect square.

• What is the prime factorization of 7448?

Prime factorization of 7448 is 2 x 2 x 2 x 7 x 7 x 19.

• What is prime factorization of 7448 in exponential form?

Prime factorization of 7448 in exponential form is 23 x 72 x 19.

• Is 7448 a prime number or a composite number?

7448 is a composite number.

• Which is the largest prime factors of 7448?

The largest prime factor of 7448 is 19.

• What is the product of all prime factors of 7448?

Prime factors of 7448 are 2 x 2 x 2 x 7 x 7 x 19. Therefore, their product is 7448.

• What numbers are the prime factors of 7448?

Prime factors of 7448 are 2 , 2 , 2 , 7 , 7 , 19.

• Is there any even prime factor of 7448?

Yes there is a even prime factor of 7448.