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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