Factors of 448 are the list of integers that we can split evenly into 448. There are overall 14 factors of 448 among which 448 is the biggest factor and its prime factors are 2, 7. The sum of all factors of 448 is 1016.

• All Factors of 448: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224 and 448
• Prime Factors of 448: 2, 7
• Prime Factorization of 448: 2⁶ × 7¹
• Sum of Factors of 448: 1016

1.	What Are the Factors of 448?
2.	Factors of 448 by Prime Factorization
3.	Factors of 448 in Pairs
4.	FAQs on Factors of 448

Factors of 448 are pairs of those numbers whose products result in 448. These factors are either prime numbers or composite numbers.

How to Find the Factors of 448?

To find the factors of 448, we will have to find the list of numbers that would divide 448 without leaving any remainder.

• 448/112 = 4; therefore, 112 is a factor of 448 and 4 is also a factor of 448.
• 448/56 = 8; therefore, 56 is a factor of 448 and 8 is also a factor of 448.

Similarly we can find other factors. Hence, the factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.

☛ Also Check:

• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The number 448 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 448. The first step is to divide the number 448 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 448 ÷ 2 = 224
• 224 ÷ 2 = 112
• 112 ÷ 2 = 56
• 56 ÷ 2 = 28
• 28 ÷ 2 = 14
• 14 ÷ 2 = 7

Further dividing 7 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 7 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 448 can be written as 2⁶ × 7¹ where 2, 7 are prime.

Pair factors of 448 are the pairs of numbers that when multiplied give the product 448. The factors of 448 in pairs are:

• 1 × 448 = (1, 448)
• 2 × 224 = (2, 224)
• 4 × 112 = (4, 112)
• 7 × 64 = (7, 64)
• 8 × 56 = (8, 56)
• 14 × 32 = (14, 32)
• 16 × 28 = (16, 28)

Negative pair factors of 448 are:

• -1 × -448 = (-1, -448)
• -2 × -224 = (-2, -224)
• -4 × -112 = (-4, -112)
• -7 × -64 = (-7, -64)
• -8 × -56 = (-8, -56)
• -14 × -32 = (-14, -32)
• -16 × -28 = (-16, -28)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.