Question

Type the missing digit down below
11,466,_39 is divisible by 3

Answer 1

There are 4 possible answers and they are: 0, 3, 6 or 9

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Step-by-step explanation:

Recall the divisibility by 3 rule is that if the digits add to a multiple of 3, then the original number itself is also a multiple of 3.

Let x be the unknown digit. The number 11,466,x39 has its digits add to:

1+1+4+6+6+x+3+9 = x+30

Notice that 30 is a multiple of 3 since 30 = 3*10. This must mean x has to be a multiple of 3 as well. If x is a single digit and a multiple of 3, then we have the following options: {0,3,6,9}

If any of 0, 3, 6, or 9 replaces x, then the number 11,466,x39 is a multiple of 3.

In other words,

• 11,466,039 is a multiple of 3
• 11,466,339 is a multiple of 3
• 11,466,639 is a multiple of 3
• 11,466,939 is a multiple of 3

because all the digits add to some multiple of 3.

Answer 2

0,3,6,9

Step-by-step explanation:

The divisibility rule for 3 is to add up all the digits and see if it's divisible by three. 1+1+4+6+6+3+9= is divisible by three. So the digit also has to be divisible by 3