Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta.

The number 2340 is divisible by 2,3,5,9 and 10

Here's why

2340/2 = 1170 is a whole number, so it is divisible by 2

Note how the last digit is an even number, so overall the number is even and divisible by 2

Add the digits of the given number to get 2+3+4+0 = 9, showing that it is both divisible by 3 and also divisible by 9. If the digits add to a multiple of 3, then it is divisible by 3. If the digits add to a multiple of 9, then it is divisible by 9. Basically anything divisible by 9 is automatically divisible by 3 as well.

We can see we get whole number results shown below

2340/3 = 780

2340/9 = 260

The last digit is 0, so 2340 is a multiple of 10. It is also a multiple of 5 because 10 = 5*2

And we can see that

2340/5 = 468

2340/10 = 234

Showing 2340 is a multiple of 5 and 10.

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