# Prime factorization of 448

Here you will see step by step solution of prime factorization of 448, how to find factors of 448, you will see all factors of 448, how many factors of 448 has? Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448, we can see that 448 has 14 factor and sum of all factors is 1016.

• All Factors of 448: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
• Prime Factors of 448: 2 × 2 × 2 × 2 × 2 × 2 × 7
• Prime Factorization of 448: 26 × 71
• Sum of Factors of 448: 1016
• Is 448 prime number: No

### How to find factors of 448 by Division Method?

To find the factors of 448 by division method, we need the find the all numbers between 1 to 448, which divide 448 with 0 remainder, then the number is factor of 448.

### Pair factors of 448

• 448/1 = 448 [ 1 × 448 (1, 448) 1 and 448 is pair factor of 448]
• 448/2 = 224 [ 2 × 224 (2, 224) 2 and 224 is pair factor of 448]
• 448/4 = 112 [ 4 × 112 (4, 112) 4 and 112 is pair factor of 448]
• 448/7 = 64 [ 7 × 64 (7, 64) 7 and 64 is pair factor of 448]
• 448/8 = 56 [ 8 × 56 (8, 56) 8 and 56 is pair factor of 448]
• 448/14 = 32 [ 14 × 32 (14, 32) 14 and 32 is pair factor of 448]
• 448/16 = 28 [ 16 × 28 (16, 28) 16 and 28 is pair factor of 448]
• 448/28 = 16 [ 28 × 16 (28, 16) 28 and 16 is pair factor of 448]
• 448/32 = 14 [ 32 × 14 (32, 14) 32 and 14 is pair factor of 448]
• 448/56 = 8 [ 56 × 8 (56, 8) 56 and 8 is pair factor of 448]
• 448/64 = 7 [ 64 × 7 (64, 7) 64 and 7 is pair factor of 448]
• 448/112 = 4 [ 112 × 4 (112, 4) 112 and 4 is pair factor of 448]
• 448/224 = 2 [ 224 × 2 (224, 2) 224 and 2 is pair factor of 448]
• 448/448 = 1 [ 448 × 1 (448, 1) 448 and 1 is pair factor of 448]

As we checked numbers between 1 to 448 that are not leaving any remainder, hence we can say factors of 448 is 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448.

Also note that, in exponential form prime factorization of 448 is written as 26 × 71 and it is a composite number.

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