# Prime factorization of 248

Here you will see step by step solution of prime factorization of 248, how to find factors of 248, you will see all factors of 248, how many factors of 248 has? Factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248, we can see that 248 has 8 factor and sum of all factors is 480.

• All Factors of 248: 1, 2, 4, 8, 31, 62, 124, 248
• Prime Factors of 248: 2 × 2 × 2 × 31
• Prime Factorization of 248: 23 × 311
• Sum of Factors of 248: 480
• Is 248 prime number: No

### How to find factors of 248 by Division Method?

To find the factors of 248 by division method, we need the find the all numbers between 1 to 248, which divide 248 with 0 remainder, then the number is factor of 248.

### Pair factors of 248

• 248/1 = 248 [ 1 × 248 (1, 248) 1 and 248 is pair factor of 248]
• 248/2 = 124 [ 2 × 124 (2, 124) 2 and 124 is pair factor of 248]
• 248/4 = 62 [ 4 × 62 (4, 62) 4 and 62 is pair factor of 248]
• 248/8 = 31 [ 8 × 31 (8, 31) 8 and 31 is pair factor of 248]
• 248/31 = 8 [ 31 × 8 (31, 8) 31 and 8 is pair factor of 248]
• 248/62 = 4 [ 62 × 4 (62, 4) 62 and 4 is pair factor of 248]
• 248/124 = 2 [ 124 × 2 (124, 2) 124 and 2 is pair factor of 248]
• 248/248 = 1 [ 248 × 1 (248, 1) 248 and 1 is pair factor of 248]

As we checked numbers between 1 to 248 that are not leaving any remainder, hence we can say factors of 248 is 1, 2, 4, 8, 31, 62, 124, 248.

Also note that, in exponential form prime factorization of 248 is written as 23 × 311 and it is a composite number.

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