Factors and multiples by using multiplication truth are defined here. With the assist of this operation we shall discover some other terms.
You are watching: Is 15 a multiple of each of its factors
Consider the following factors and multiples by using multiplication facts:
(i) 3 × 5 = 15,
i.e., 3 multiplied by 5 offers the product 15.
Here, 3 is called the multiplicand, 5 is the multiplier and 15 is the product.
In 5 × 3 = 15, 5 is the multiplicand and 3 is the multiplier.
Thus, in any multiplication fact, multiplicand and also multiplier might be interchanged. Both are recognized as factors. We can say 3 and also 5 space the components of 15. The product 15 may likewise be provided the name of ‘multiple’. Thus, 15 is the multiple of the components 3 and 5.
(ii) 1 × 15 = 15.
Here, 1 and also 15 room the components of many 15.
Thus, the multiple 15 has four factors, 1, 3, 5 and also 15.
(iii) 1 × 3 × 5 = 15.
It also expresses the 1, 3 and also 5 space the determinants of 15.
(iv) 4 × 3 = 12,
i.e., 4 multiplied by 3 provides the product 12. We can say 4 and also 3 are the factors of multiple 12.
Accordingly, 2 × 2 × 3 = 12, whereby 2, 2 and also 3 space the determinants of multiple 12.
also 1 × 2 × 2 × 3 = 12.
So 1, 2, 2 and also 3 room the factors of 12.
1 × 2 × 6 = 12, or, 1 × 4 × 3 = 12 reflects that 1, 2, 4, 6 space the determinants of 12.
1 × 12 = 12
So, 1 and 12 space the determinants of 12.
Hence, 1, 2, 3, 4, 6 and also 12 space the determinants of the many 12.
There are no other components except 1, 2, 3, 4, 6 and 12 of many 12.
Any multiple has a definite variety of factors.
12 has actually 6 factors, i.e., 1, 2, 3, 4, 6 and 12.
15 has 4 factors, i.e., 1, 3, 5 and 15.
More explanation:
David has actually 8 marbles. Let united state see in how countless ways David deserve to arrange this marbles.
8 marbles in one row |  | 8 × 1 = 8 |
4 marbles in 2 rows |  | 4 × 2 = 8 |
2 marbles in four rows |  | 2 × 4 = 8 |
The department facts because that each of the multiplication truth are:
8 ÷ 1 = 8
8 ÷ 8 = 1
8 ÷ 2 = 4
8 ÷ 4 = 2
So, 8 is specifically divisible through 1, 2, 4 and 8.Therefore, 1, 2,4 and 8 are components of 8. A number is a variable of another number if that is anexact divisor that the number. We have the right to find components of a number through multiplicationor by department method.
How to uncover the components with the assist of multiplication facts?
Using multiplication facts,
(i) aspect aspect Multiple
7 × 9 = 63
(ii) aspect variable Multiple
8 × 4 = 32
(iii) factor variable Multiple
6 × 5 = 30
We learnt the the product that the 2 numbers is the lot of of each of the numbers.
In other words: every of the numbers is the aspect of the multiple. (i) 7 and 9 are components of 63
(ii) 8 and also 4 are factors of 32
(iii) 6 and 5 are determinants of 30Note:
Any number which have the right to be separated into a bigger number without leaving a remainder is a variable of the bigger number.
● Let us uncover the components of 24 by multiplication method.
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
1, 2, 3, 4, 6, 8, 12 and also 24 room the determinants of 24
● Find all the factors of 64 through multiplication method.
64 = 1 × 64
64 = 2 × 32
64 = 4 × 16
64 = 8 × 8
Hence, all the components of 64 room 1, 2, 4, 8, 16, 32, 64.
See more: Which Point In A Triangle Is Equidistant From The Vertices Of The Triangle? ?
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