the number of ways in which a number 1155 can be resolved into co prime factor is?
Answers
Answer:
Co-primes are those numbers which do not have any common factors.
Note: Co-primes will not always be prime nos.
Step-by-step explanation:
The factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.
The number of ways in which a number 1155 can be resolved into co prime factor is 4.
Given,
Number = 1155.
To Find,
The number of ways in which 1155 can be resolved into co-prime factors.
Solution,
Let's first understand the concept of co-prime Numbers.
Co-prime numbers are those numbers that have one as a common factor between the two numbers.
So,
Let's find the factors of 1155.
1155 = 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155.
These are factors of 1155.
Only 3,5,7, and 11 are prime numbers and co-prime related to each other.
Hence,
The number of ways in which a number 1155 can be resolved into co prime factor is 4.
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