WRITE DOWN THE FACTORS OF THE GIVEN NUMBERS

Factor :

A factor is a number that divides into another number exactly and without leaving a remainder.

Here 2 and 3 are factors. 6 is divisible by both 2 & 3.

Example 1 :

List all the factors of 9.

Solution :

So, the factors of 9 are 1, 3, 9.

Example 2 :

List all the factors of 12

Solution :

So, the factors of 12 are 1, 2, 3, 4, 6, 12.

Example 3 :

List all the factors of each of the following numbers :




1) 10



So, the factors of 10 are 1, 2, 5, 10




2) 18



So, the factors of 18 are 1, 2, 3, 6, 9, 18.




3) 30



So, the factors of 30 are

1, 2, 3, 5, 6, 10, 15, 30



4) 35



So, the factors of 35 are 1, 5, 7, 35.



5) 44



So, the factors of 44 are 1, 2, 4, 11, 22, 44.



6) 56



So, the factors of 56 are

1, 2, 4, 7, 8, 14, 28, 56



7) 50



So, the factors of 50 are

1, 2, 5, 10, 25, 50.



8) 84



So, the factors of 84 are

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Example 4 :

Complete the factorization given below :

(a)  24 = 6 ×------

(b)  25  =  5 × ------

(c)  28  =  4 × ------

(d)  100  =  5 × ------

(e)  88  =  11 × ------

(f)  88  =  2 × ------

(g)  36  =  2 × ------

(h)  36  =  3 × ------

(i)  36  =  9 × ------

Solution :

(a)  24  =  6 × 5

(b)  25  =  5 × 5

(c)  28  =  4 × 7

(d)  100  =  5 × 20

(e)  88  =  11 × 8

(f)  88  =  2 × 44

(g)  36  =  2 × 18

(h)  36  =  3 × 12

(i)  36  =  9 × 4

Example 5 :

Write the largest factor of each of the following numbers

(a)  12

Solution :

By writing the divisors of 12, we get.

1, 2, 3, 4, 6, 12

Excluding itself 6 is greater. So, 6 is the largest factor of 12.

(b)  18

Solution :

By writing the divisors of 18, we get.

1, 2, 3, 6, 9, 18

Excluding itself 9 is greater. So, 9 is the largest factor of 18.

(c)  27

Solution :

By writing the divisors of 27, we get.

1, 3, 9, 27

Excluding itself 9 is greater. So, 9 is the largest factor of 27.

(d)  48

Solution :

By writing the divisors of 48, we get.

1, 2, 3, 4, 6, 8, 12, 16, 48

Excluding itself 16 is greater. So, 16 is the largest factor of 48.

(d)  44

Solution :

By writing the divisors of 44, we get.

1, 2, 4, 11, 22, 44

Excluding itself 22 is greater. So, 22 is the largest factor of 44.

(e)  75

Solution :

By writing the divisors of 75, we get.

1, 3, 5, 15, 25, 75

Excluding itself 25 is greater. So, 25 is the largest factor of 75.

(f)  90

Solution :

By writing the divisors of 90, we get.

1, 3, 5, 9, 10, 15, 30, 45, 90

Excluding itself 45 is greater. So, 45 is the largest factor of 90.

(g)  39

Solution :

By writing the divisors of 39, we get.

1, 3, 13, 39

Excluding itself 13 is greater. So, 13 is the largest factor of 39.

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