What is composite number?
A number that has more than two different factors is a
composite number. So, a composite number is also exactly divisible by numbers
other than 1 and itself.
A whole number having at least 3 factors is called the
Consider the numbers 4, 6 and 15.
(i) The factors of 4 are -
1 × 4 = 4
2 × 2 = 4
4 × 1 = 4
So, 1, 2 and 4 are the factors of 4.
(ii) The factors of 6 are -
1 × 6 = 6
2 × 3 = 6
6 × 1 = 6
So, 1, 2, 3 and 6 are the factors of 6.
(iii) The factors of 15 are -
1 × 15 = 15
3 × 5 = 15
5 × 3 = 15
15 × 1 = 15
So, 1, 3, 5 and 15 are the factors of 15.
Thus 4, 6 and 15 are composite numbers.
Let us find all the factors of 4, 6, 8 and 9
4 is divisible by 2, 1 and 4. So, the factors are 1, 2 and
6 is divisible by 2, 3, 1 and 6. So, the factors are 1, 2, 3
8 is divisible by 2, 4, 1 and 8. So, the factors are 1, 2, 4
9 is divisible by 3, 1 and 9. So, the factors are 1, 3 and
The number 1 is neither prime nor composite. 1 is called a unique number. The number 1 has exactly one factor the number itself.
The number 2 is a prime as well as an even number.
Composite numbers include both even and odd numbers.
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Divisible by 10 is discussed below. A number is divisible by 10 if it has zero (0) in its units place. Consider the following numbers which are divisible by 10, using the test of divisibility by 10:
Divisible by 5 is discussed below: A number is divisible by 5 if its units place is 0 or 5. Consider the following numbers which are divisible by 5, using the test of divisibility by
A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9. Consider the following numbers which are divisible by 9, using the test of divisibility by 9:
Divisible by 6 is discussed below: A number is divisible by 6 if it is divisible by 2 and 3 both. Consider the following numbers which are divisible by 6, using the test of divisibility by 6: 42
A number is divisible by 4 if the number is formed by its digits in ten’s place and unit’s place (i.e. the last two digits on its extreme right side) is divisible by 4. Consider the following numbers which are divisible by 4 or which are divisible by 4, using the test of
A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibility by 3. Consider the following numbers to find whether the numbers are divisible or not divisible by 3: (i) 54 Sum of all the digits of 54 = 5 + 4 = 9, which is divisible by 3.
The product of highest common factor (H.C.F.) and lowest common multiple (L.C.M.) of two numbers is equal to the product of two numbers i.e., H.C.F. × L.C.M. = First number × Second number or, LCM × HCF = Product of two given numbers
To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4, 5, 6, 7, 8, 9, 10 can be perform simply by examining the digits of the
We will discuss here about the method of h.c.f. (highest common factor). The highest common factor or HCF of two or more numbers is the greatest number which divides exactly the given numbers. Let us consider two numbers 16 and 24.
What are the prime and composite numbers? Prime numbers are those numbers which have only two factors 1 and the number itself. Composite numbers are those numbers which have more than two factors.
What are multiples? ‘The product obtained on multiplying two or more whole numbers is called a multiple of that number or the numbers being multiplied.’ We know that when two numbers are multiplied the result is called the product or the multiple of given numbers.
In 4th grade factors and multiples worksheet we will find the factors of a number by using multiplication method, find the even and odd numbers, find the prime numbers and composite numbers, find the prime factors, find the common factors, find the HCF(highest common factors
Examples on multiples on different types of questions on multiples are discussed here step-by-step. Every number is a multiple of itself. Every number is a multiple of 1. Every multiple of a number is either greater than or equal to the number. Product of two or more numbers
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4th Grade Math Activities
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