please solve this two questions which are in the worksheet please
Dear Student,
Solution) 4) A natural number (i.e. 1, 2, 3, 4, 5, 6, etc.) is called a prime number (or a prime) if it has exactly two positive factors, 1 and the number itself.
Natural numbers that have more than two positive factors are called composite. 1 has only one positive factor i.e. no.1 only. Hence 1 is neither prime nor composite. It forms its own special category as a "unit".
The number 1 is a unit - "unity" - it is neither prime nor composite.
It is a matter of definition. It looks as if 1 should be a prime because 1 is only divisible by 1 and itself, but a prime is defined to be a number with exactly two factors - 1 and itself - but 1 has only one factor.
In addition, stated positively then, the number 1 is the first, non-zero, natural number.
Number one has a unique role as the identity element of multiplication.
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Regards!
Solution) 4) A natural number (i.e. 1, 2, 3, 4, 5, 6, etc.) is called a prime number (or a prime) if it has exactly two positive factors, 1 and the number itself.
Natural numbers that have more than two positive factors are called composite. 1 has only one positive factor i.e. no.1 only. Hence 1 is neither prime nor composite. It forms its own special category as a "unit".
The number 1 is a unit - "unity" - it is neither prime nor composite.
It is a matter of definition. It looks as if 1 should be a prime because 1 is only divisible by 1 and itself, but a prime is defined to be a number with exactly two factors - 1 and itself - but 1 has only one factor.
In addition, stated positively then, the number 1 is the first, non-zero, natural number.
Number one has a unique role as the identity element of multiplication.
For remaining queries, kindly post in a separate thread to get a rapid assistance from our experts.
Regards!