which of the following numbers are divisible by 2,4,6, and 8 174 ,316 ,472 ,552

Guest Dec 25, 2014

#1**+10 **

174 ,316 ,472 ,552

They are all divisible by 2 since they are even.

To see which are divisible by 4, disregard the "hundreds" digit (since any multiples of 100 are always divisble by 4), and look at the last two digits. Note that 16, 72 and 52 are divisble by 4, but not 74.

552 is divisible by 6 since the sum of its digits is divisble by 3 and it is even. Note that 316 and 472 digit sums are not divisible by 3.

To be divisble by 8, the number must be divisible by 4 an even number of times. Thus, the hundreds/4 and the remainder/4 must be an even number. So 500/4 = 125 and 52/4 = 13 and 135 + 13 = 138.

So, only 552 is divisble by 2, 4, 6 and 8

CPhill
Dec 25, 2014

#1**+10 **

Best Answer

174 ,316 ,472 ,552

They are all divisible by 2 since they are even.

To see which are divisible by 4, disregard the "hundreds" digit (since any multiples of 100 are always divisble by 4), and look at the last two digits. Note that 16, 72 and 52 are divisble by 4, but not 74.

552 is divisible by 6 since the sum of its digits is divisble by 3 and it is even. Note that 316 and 472 digit sums are not divisible by 3.

To be divisble by 8, the number must be divisible by 4 an even number of times. Thus, the hundreds/4 and the remainder/4 must be an even number. So 500/4 = 125 and 52/4 = 13 and 135 + 13 = 138.

So, only 552 is divisble by 2, 4, 6 and 8

CPhill
Dec 25, 2014