Prime factorization of 48
Here you will see step by step solution of prime factorization of 48, how to find factors of 48, you will see all factors of 48, how many factors of 48 has? Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, we can see that 48 has 10 factor and sum of all factors is 124.
- All Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Prime Factors of 48: 2 × 2 × 2 × 2 × 3
- Prime Factorization of 48: 24 × 31
- Sum of Factors of 48: 124
- Is 48 prime number: No
How to find factors of 48 by Division Method?
To find the factors of 48 by division method, we need the find the all numbers between 1 to 48, which divide 48 with 0 remainder, then the number is factor of 48.
Pair factors of 48
- 48/1 = 48 [ 1 × 48 (1, 48) 1 and 48 is pair factor of 48]
- 48/2 = 24 [ 2 × 24 (2, 24) 2 and 24 is pair factor of 48]
- 48/3 = 16 [ 3 × 16 (3, 16) 3 and 16 is pair factor of 48]
- 48/4 = 12 [ 4 × 12 (4, 12) 4 and 12 is pair factor of 48]
- 48/6 = 8 [ 6 × 8 (6, 8) 6 and 8 is pair factor of 48]
- 48/8 = 6 [ 8 × 6 (8, 6) 8 and 6 is pair factor of 48]
- 48/12 = 4 [ 12 × 4 (12, 4) 12 and 4 is pair factor of 48]
- 48/16 = 3 [ 16 × 3 (16, 3) 16 and 3 is pair factor of 48]
- 48/24 = 2 [ 24 × 2 (24, 2) 24 and 2 is pair factor of 48]
- 48/48 = 1 [ 48 × 1 (48, 1) 48 and 1 is pair factor of 48]
As we checked numbers between 1 to 48 that are not leaving any remainder, hence we can say factors of 48 is 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Also note that, in exponential form prime factorization of 48 is written as 24 × 31 and it is a composite number.
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