Prime factorization of 1005
Here you will see step by step solution of prime factorization of 1005, how to find factors of 1005, you will see all factors of 1005, how many factors of 1005 has? Factors of 1005 are 1, 3, 5, 15, 67, 201, 335, 1005, we can see that 1005 has 8 factor and sum of all factors is 1632.
- All Factors of 1005: 1, 3, 5, 15, 67, 201, 335, 1005
- Prime Factors of 1005: 3 × 5 × 67
- Prime Factorization of 1005: 31 × 51 × 671
- Sum of Factors of 1005: 1632
- Is 1005 prime number: No
How to find factors of 1005 by Division Method?
To find the factors of 1005 by division method, we need the find the all numbers between 1 to 1005, which divide 1005 with 0 remainder, then the number is factor of 1005.
Pair factors of 1005
- 1005/1 = 1005 [ 1 × 1005 (1, 1005) 1 and 1005 is pair factor of 1005]
- 1005/3 = 335 [ 3 × 335 (3, 335) 3 and 335 is pair factor of 1005]
- 1005/5 = 201 [ 5 × 201 (5, 201) 5 and 201 is pair factor of 1005]
- 1005/15 = 67 [ 15 × 67 (15, 67) 15 and 67 is pair factor of 1005]
- 1005/67 = 15 [ 67 × 15 (67, 15) 67 and 15 is pair factor of 1005]
- 1005/201 = 5 [ 201 × 5 (201, 5) 201 and 5 is pair factor of 1005]
- 1005/335 = 3 [ 335 × 3 (335, 3) 335 and 3 is pair factor of 1005]
- 1005/1005 = 1 [ 1005 × 1 (1005, 1) 1005 and 1 is pair factor of 1005]
As we checked numbers between 1 to 1005 that are not leaving any remainder, hence we can say factors of 1005 is 1, 3, 5, 15, 67, 201, 335, 1005.
Also note that, in exponential form prime factorization of 1005 is written as 31 × 51 × 671 and it is a composite number.
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