Question

A PT teacher is making his class of 32 students stand in different rows with equal number of students in each row. In how many ways he can do that?

please explain in detail​

Answer 1

Answer-16 in 2 rows or 4 in 8 rows

Step-by-step explanation:

you just have to divide A number that can be easily divisible! \

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Answer 2

Answer:

In 6 ways he can do that.

Step-by-step explanation:

Given, a PT teacher is making his class of 32 students.

So,total number of students $= 32$

It is also given that 32 students stand in different rows with equal number of students in each row.

We want to find how many ways he can do that?

Here number of rows are equal.

So if we find all factors of 32 then we can give answer of this question.

By prime factorisation,

$32 = 1 \times 2 \times 2 \times 2 \times 2 \times 2$

So, all factors of 32 is 1,2,4,8,16,32

Therefore,

If there is 1 students in each row then number of rows will be 32.

If there are 2 students in each row then number of rows will be 16.

If there are 4 students in each row then number of rows will be 8.

and if there are 8 students in each row then number of rows will be 4.

and if number of students in each row are 16 then number of rows will be 2.

and if number of students in each row are 32 then number of row will be 1.

Hence in 6 ways he can do his job.

Know more about prime factorization,

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