Properties of Multiples
The properties of multiples are discussed step-by-step according to its property.
Property (1):
Every number is a multiple of 1.
As: 7 x 1 = 7,
9 x 1 = 9,
15 x 1 = 15,
40 x 1 = 40
Property (2):
Every number is the multiple of itself.
As: 1 x 7 = 7,
1 x 21 = 21,
1 x 105 = 105,
1 x 212 = 212
For example, 8 Γ 1 = 8. Hence, 8 is multiple of itself. 19 Γ
1 = 19. So, 19 is multiple of itself.
Property (3):
Zero (0) is a multiple of every number.
As: 0 x 9 = 0,
0 x 11 = 0,
0 x 57 = 0,
0 x 275 = 0
Property (4):
Every multiple except zero is either equal to or greater than any of its factors.
As, multiple of 7 = 7, 14, 28, 35, 77, β¦β¦β¦β¦., etc.
For example, multiples of 4 are 4, 8, 12, 16. We find that
every multiple of 4 is either greater or equal to 4.
Property (5):
The product of two or more factors is the multiple of each factor.
As: 3 x 7 = 21,
So, 21 is the multiple of both 3 and 7.
30 = 2 x 3 x 5,
So, 30 is the multiple of 2, 3 and 5.
For example, the product of 3 Γ 4 Γ 5 is 60 and 60 is also a
multiple of 3, 4 and 5.
Property (6):
There is no end to multiples of a number.
As: 5, 10, 15, 20, 25, β¦β¦β¦β¦β¦.., 100, 105, 110, β¦β¦β¦β¦β¦β¦β¦., are the multiples of 5.
These are the properties of multiples.
Explain the Properties of Multiples step-by-step with examples.
Observe the following:
12 Γ 1 = 12;
18 Γ 1 = 18;
25 Γ 1 = 25;
12 Γ 1 = 12 implies 12 is of 12 and 12 is a multiple of 1.
18 Γ 1 = 18 implies 18 is a multiple of 18 and 18 is a multiple of 1.
25 Γ 1 = 25 implies 25 is a multiple of 25 and 25 is a multiple of 1.
What do we conclude?
We conclude,
β Every number is a multiple of itself.
β Every number is a multiple of 1.
Again, observe the following:
Multiples of 5 are 5, 10, 15, 20, ...
Multiple of 12 are 12, 24, 36, 48, ...
Multiple of 18 are 18, 36, 54, 72, ...
What do we observe?
We see that every multiple of 5 is either greater than or equal to 5.
Similarly, every multiple of 12 is either greater than or equal to 12.
Every multiple of 18 is either greater than or equal to 18.
Hence, we can say that
β Every multiple of a number is either greater than or equal to the number.
You might like these
In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,
We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with β+β and β-β signs. We find the sum of the numbers with β+β sign and similarly the sum
In examples on the formation of greatest and the smallest number we know that the procedure of arranging the numbers in ascending and descending order.
the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number increases its place value. So the greatest digit should be placed at the
For estimating sums and differences in the number we use the rounded numbers for estimations to its nearest tens, hundred, and thousand. In many practical calculations, only an approximation is required rather than an exact answer. To do this, numbers are rounded off to a
Worksheet on expanded form of a number for fourth grade math questions to practice the expanded form according to the place values of its digit. 1. Write the expanded form of the following numbers
We know skip counting numbers with smaller numbers. Now, we will learn skip counting with larger numbers. Write the number as per following instruction: 1. Write six numbers more after 2,00,000
In a magic square, every row, column and each of the diagonals add up to the same total. Here is a magic square. The numbers 1 to 9 are placed in the small squares in such a way that no number is repe
Division by 10 and 100 and 1000 are explained here step by step. when we divide a number by 10, the digit at ones place of the given number becomes the remainder and the digits at the remaining places of the number given the quotient.
We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its digits. This is shown here: In 2385, the place values of the digits are
In division by two-digit numbers we will practice dividing two, three, four and five digits by two-digit numbers. Consider the following examples on division by two-digit numbers: Let us use our knowledge of estimation to find the actual quotient. 1. Divide 94 by 12
The answer of a subtraction sum is called DIFFERENCE. How to subtract 2-digit numbers? Steps are shown to subtract 2-digit numbers.
We will learn subtraction 4-digit, 5-digit and 6-digit numbers with regrouping. Subtraction of 4-digit numbers can be done in the same way as we do subtraction of smaller numbers. We first arrange the numbers one below the other in place value columns and then we start
In division of four-digit by a one-digit numbers are discussed here step by step. How to divide 4-digit numbers by single-digit numbers?
Word problems on division for fourth grade students are solved here step by step. Consider the following examples on word problems involving division: 1. $5,876 are distributed equally among 26 men. How much money will each person get?
Related Concept
β Factors
and Multiples by using Multiplication Facts
β Factors
and Multiples by using Division Facts
β Multiples
β Properties of
Multiples
β Examples on
Multiples
β Factors
β Factor Tree Method
β Properties of
Factors
β Examples on
Factors
β Even and Odd
Numbers
β Even
and Odd Numbers Between 1 and 100
β Examples
on Even and Odd Numbers
4th Grade Math Activities
From Properties of Multiples to HOME PAGE
Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.
Share this page:
Whatβs this?
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.