A natural number greater than 1, having only two factors namely 1 and the number itself, is called a prime number.

Two numbers are said to be *amicable* *numbers* if the sum of the factors of one number (except the number itself) gives the other number.

The numbers 220 and 284 are amicable, since the sum of the factors of 220 (except 220) i.e., 1 + 2 + 4 + 5 + 10 + 11 + 20 + 22 + 44 + 55 + 110 = 284 and the sum of the factors of (except 284) i.e., 1 + 2 + 4 + 71 + 142 = 220.

Check whether 1184 and 1210 are amicable numbers.

**Summary**

* A natural number greater
than 1, having only two factors namely 1 and the number itself, is called a *prime number*.

* A natural number having
more than two factors is called a *composite number*.

* A pair of prime numbers
whose difference is 2 is called as *twin primes*.

* Every composite number
can be expressed as a product of prime numbers in a *unique
way*.

* The *Highest Common Factor* of any two non- zero whole
numbers is the largest common factor of both the numbers.

* The *Least Common Multiple* of any two non- zero whole
numbers is the smallest common multiple of both the numbers.

* Two numbers having
1 as their only common factor are said to be *co-primes*
or *relatively prime*.

* The product of two given numbers is equal to the
product of their HCF and LCM.

Tags : Questions with Answers, Solution | Numbers | Term 2 Chapter 1 | 6th Maths , 6th Maths : Term 2 Unit 1 : Numbers

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6th Maths : Term 2 Unit 1 : Numbers : Summary | Questions with Answers, Solution | Numbers | Term 2 Chapter 1 | 6th Maths

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