5 Marks Questions

Question

Here are two different factor trees for 60. Write the missing numbers.

Vidyadip · Accepted Answer

Here, we have to divide the given set of numbers by the other set of given numbers to see whether each one of them is divisible or not.
To check this, we follow the divisibility rules as given below:
$i.\ $For divisible by $2$: Any number that has $0$,$2$,$4$,$6$, or $8$ in its one's place is divisible by $2$.
$ii.\ $For divisible by $3$: If the sum of all the digits of the number is multiple of $3$, then it is divisible by $3$.
$iii.\ $For divisible by $4$: Any number whose last two digits $($i.e. one's and ten's place digits$)$ are divisible by $4$ then, the number is divisible by $4$.
$iv.\ $For divisible by $5$: Any number that has $0$ or $5$ in its one's place is divisible by $5$.
$v.\ $For divisible by $6$: If a number a divisible by both $2$ and $3$, then it is divisible by $6$.
$vi.\ $For divisible by $8$: Any number whose last three digits are divisible by $8$ then, the number is divisible by $8$.
$vii.\ $For divisible by $9$: If the sum of all the digits of the number is multiple of $9$, then it is divisible by $9$.
$viii.\ $For divisible by $10$: Any number that has $0$ in its one's place is divisible by $10$.
So, after following these rules, we can see the results as are given below:

Number	Divisible by
Number	$2$	$3$	$4$	$5$	$6$	$8$	$9$	$1$0	$11$
$9 9 0$	Yes	Yes	No	Yes	Yes	No	Yes	Yes	Yes
$15 8 6$	Yes	No	No	No	No	No	No	No	No
$2 7 5$	No	No	No	Yes	No	No	No	No	Yes
$6 6 8 9$	Yes	No	No	No	No	No	No	No	No
$6 3 9 2 10$	Yes	Yes	No	Yes	Yes	No	No	Yes	Yes
$4 2 9 714$	Yes	Yes	No	No	Yes	No	Yes	No	No
$2 8 5 6$	Yes	Yes	Yes	No	Yes	Yes	No	No	No
$3 0 6 0$	Yes	Yes	Yes	Yes	Yes	No	Yes	Yes	No
$4 0 6 8 3 9$	No	Yes	No	No	No	No	No	No	No

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