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 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**.

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