Question

PLS HELP Use the divisibility rules to determine which of the following numbers 315 is divisible by.(Check all that apply.) 2 3 5 7 11

Answer 1

we can check divisibility of 315

Divisibility by 2:

We can see that last digit of 315 is 5

and it is not multiple of 2

so, it is not divisble by 2

Divisibility by 3:

We will all digits

3+1+5=9

and we know that 9 is divisible by 3

so, 315 is divisible by 3

Divisibility by 5:

We can see that last digit of 315 is 5

and it is  multiple of 5

so, it is  divisble by 5

Divisibility by 7:

take frst two digit without last digit

is 31

subtract last digit times 2

2*5=10

difference is 31-10=21

since, 21 is divisible 7

so, 315 is divisible by 7

Divisibility by 11:

digits at odd numbers are 1

odd=1

digits at even numbers are 5,3

even=5+3=8

difference=even-odd

difference=8-1=7

since, 7 is not multiple of 11

so, 315 is not divisible by 11