# Prime Factors of 448

Prime Factors of 448 are 2, 2, 2, 2, 2, 2, and 7

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

 1.   Prime Factorization of 448 by Division Method 2.   Prime Factorization of 448 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 448 by Division Method

To find the primefactors of 448 using the division method, follow these steps:

• Step 1. Start dividing 448 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 448, which is 2. Divide 448 by 2 to obtain the quotient (224).
448 ÷ 2 = 224
• Step 3. Repeat step 1 with the obtained quotient (224).
224 ÷ 2 = 112
112 ÷ 2 = 56
56 ÷ 2 = 28
28 ÷ 2 = 14
14 ÷ 2 = 7
7 ÷ 7 = 1

So, the prime factorization of 448 is, 448 = 2 x 2 x 2 x 2 x 2 x 2 x 7.

#### Steps to find Prime Factors of 448 by Factor Tree Method

We can follow the same procedure using the factor tree of 448 as shown below:

So, the prime factorization of 448 is, 448 = 2 x 2 x 2 x 2 x 2 x 2 x 7.

#### 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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7.

#### 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 448 but not a prime factor of 448.

• Which is the smallest prime factor of 448?

Smallest prime factor of 448 is 2.

• Is 448 a perfect square?

No 448 is not a perfect square.

• What is the prime factorization of 448?

Prime factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7.

• What is prime factorization of 448 in exponential form?

Prime factorization of 448 in exponential form is 26 x 7.

• Is 448 a prime number or a composite number?

448 is a composite number.

• Which is the largest prime factors of 448?

The largest prime factor of 448 is 7.

• What is the product of all prime factors of 448?

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7. Therefore, their product is 448.

• What numbers are the prime factors of 448?

Prime factors of 448 are 2 , 2 , 2 , 2 , 2 , 2 , 7.

• Is there any even prime factor of 448?

Yes there is a even prime factor of 448.