We have studied a lot about numbers till now. We have come across different types of numbers in various grades of different education board, which includes Natural Numbers (used for counting), whole numbers (used for measurements), Even and Odd Numbers. Now we will proceed and learn more about Math problems associated with it.
Let us first talk about Factors of a given number. Any number which exactly divides any number is called the factor of any number. Let us take 16.
16 is exactly divisible by 1, 2, 4, 8, and 16 . So 1,2,4,8, and 16 itself are the factors of 16.
Also we know that 1 is the factor of all the numbers as any number multiplied by 1 gives the number itself.
Multiple of a number: A number is multiple of all its factors, which means if we multiply any factors we get the number. In the above mentioned example we find that 16 comes in the table of 1, 2, 4 ,8 and 16 , so 16 is the multiple of all its factors. To find the multiples of any number we simply write its table as
multiples of 5 are 5, 10, 15, 20, 25, ------- and so on.
Primes : Any number is called a prime number if it has only 1 and itself as two of its factors. It means that a number is prime, if it is divisible by 1 and itself.
Composite Numbers: The number which has factors other than 1 and itself are called Composite Numbers. The smallest composite number is 4 as the factors of 4 are 1, 2 and 4 itself.
Co- primes: If we have two numbers, not necessary primes, such that they do not have any common factor except 1 are called co- prime numbers. Ex 4 , 5. Here common factors of 4 & 5 is only 1. So they are co- prime numbers.
Twin Prime Numbers: A pair of numbers which have two consecutive odd numbers are called twin primes. Ex: 3, 5 and 11, 13 are consecutive odd as well as consecutive prime numbers.Know more about factors here,
We come across such number sequences in our day to day mathematical work.
We should remember the following facts related to numbers:
a. 1 (one) is a number which is neither prime, nor composite.
b. 2 is the only even number which is prime. All other prime numbers are odd numbers.
c. 2 is the smallest Prime number.
Prime factorization: To find all the factors of any number which are all primes they are called prime factorization. Suppose we need to find the factors of 36.
36 can be written as 36 = 2 * 18, but 18 is not a prime,
further we write 18 as 2 * 9, but 9 is again not prime,
again we write 9 as 3 * 3, which are primes,
so we can write 36 = 2 * 2 * 3 * 3, where we get all the numbers as prime factors.
We observe that factors can be written in different order, but the product remains the same. This is called unique property of factorization. Factorization also helps in finding the L.C.M. and H.C.F. of any given numbers. Also various numerical sequences are formed using the factors.
So children, this is a brief article about prime numbers, factors, multiples, and number sequences and If you want to know about Variables in VIII Grade and also about Congruence in Grade VII then there are many websites available on the internet where you can get detailed knowledge about all the topics.
Let us first talk about Factors of a given number. Any number which exactly divides any number is called the factor of any number. Let us take 16.
16 is exactly divisible by 1, 2, 4, 8, and 16 . So 1,2,4,8, and 16 itself are the factors of 16.
Also we know that 1 is the factor of all the numbers as any number multiplied by 1 gives the number itself.
Multiple of a number: A number is multiple of all its factors, which means if we multiply any factors we get the number. In the above mentioned example we find that 16 comes in the table of 1, 2, 4 ,8 and 16 , so 16 is the multiple of all its factors. To find the multiples of any number we simply write its table as
multiples of 5 are 5, 10, 15, 20, 25, ------- and so on.
Primes : Any number is called a prime number if it has only 1 and itself as two of its factors. It means that a number is prime, if it is divisible by 1 and itself.
Composite Numbers: The number which has factors other than 1 and itself are called Composite Numbers. The smallest composite number is 4 as the factors of 4 are 1, 2 and 4 itself.
Co- primes: If we have two numbers, not necessary primes, such that they do not have any common factor except 1 are called co- prime numbers. Ex 4 , 5. Here common factors of 4 & 5 is only 1. So they are co- prime numbers.
Twin Prime Numbers: A pair of numbers which have two consecutive odd numbers are called twin primes. Ex: 3, 5 and 11, 13 are consecutive odd as well as consecutive prime numbers.Know more about factors here,
We come across such number sequences in our day to day mathematical work.
We should remember the following facts related to numbers:
a. 1 (one) is a number which is neither prime, nor composite.
b. 2 is the only even number which is prime. All other prime numbers are odd numbers.
c. 2 is the smallest Prime number.
Prime factorization: To find all the factors of any number which are all primes they are called prime factorization. Suppose we need to find the factors of 36.
36 can be written as 36 = 2 * 18, but 18 is not a prime,
further we write 18 as 2 * 9, but 9 is again not prime,
again we write 9 as 3 * 3, which are primes,
so we can write 36 = 2 * 2 * 3 * 3, where we get all the numbers as prime factors.
We observe that factors can be written in different order, but the product remains the same. This is called unique property of factorization. Factorization also helps in finding the L.C.M. and H.C.F. of any given numbers. Also various numerical sequences are formed using the factors.
So children, this is a brief article about prime numbers, factors, multiples, and number sequences and If you want to know about Variables in VIII Grade and also about Congruence in Grade VII then there are many websites available on the internet where you can get detailed knowledge about all the topics.
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