Question

If a number is divisible by 5 and 12 then by which other number will it be divisble​

Answer 1

Step-by-step explanation:

answer is 6

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Answer 2

Answer:

60

Step-by-step explanation:

We know that

If a number is divisible by two co-prime numbers,

it is divisible by their product

Let's check if 5 & 12 are co-prime

Factors of 5

1*5=5

5*1=5

Factors of 5 are 1,5

Factors of 12

1*12=12

2*6=12

3*4=12

4*3=12

We stop here as 4 & 3 have occurred earlier

Factors of 12 are 1,2,3,4,6 and 12.

Since,Common factor of 5 & 12

∴ 5 & 12 are co-prime

Now,

If a number is divisible by two co-prime numbers,

it is divisible by their product

Product=5*12=60

So,if a number is divisible by 5 & 12,

then number will also be divisible by its product 60

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