Question

Use the divisibility rules to determine which of the following numbers 504 is divisible by. (Check all that apply.)

2
3
5
7
11

Answer 1

Decompose 504 into prime factors

Answer 2

2 * 252 ---to begin

Answer 3

2 * 2 * 2 * 63

Answer 4

2 * 2 * 2 * 3 * 21

Answer 5

2 * 2 * 2 * 3 * 3 * 7

Answer 6

hm

Answer 7

2, 3, and 7 go into 504 evenly

Answer 8

or any combination of those prime factors

Answer 9

504 = 2 * 2 * 2 * 3 * 3 * 7

Answer 10

for example a combination, 2*2*3 = 12 will go into 504 even, or any combination of those prime factors

Answer 11

7*3 = 21
21 will evenly divide into 504

Answer 12

u get it?

Answer 13

divisibility rules ... that like the sum of the digits is this or that type of rules?

Answer 14

10 = -1 mod(11)

5(10)^2 +0(10)^1 +4(10)^0

5(-1)^2 +0(-1)^1 +4(-1)^0 mod(11)

5 +4 mod(11)

9 mod 11, since its not 0 mod 11 its not evenly divisible by 11

Answer 15

10 = 0 mod 5

5(10)^2 +0(10)^1 +4(10)^0

5(0)^2 +0(0)^1 +4 mod(5)

4 mod(5), so unless it ends in a 0 or 5, then its not divisible by 5