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5 answers

It's better to learn the method than for someone to just give you the answer.

First here's the answer for one of the numbers:
225
2 --> no
3 --> yes
4 --> no
5 --> yes
6 --> no
9 --> yes
10 --> no

The reasons are as follows:
2 - is the last digit a multiple of two (0, 2, 4, 6, 8)? no
3 - do the digits add up to a multiple of three (2+2+5 = 9)? yes
4 - are the last *two* digits a multiple of four? no
5 - is the last digit a multiple of 5 (0 or 5)? yes
6 - check the rules for 2 and 3, is it a multiple of both? no
9 - do the digits add up to a multiple of nine (2+2+5=9)? yes
10 - is the last digit a 0? no

If you remember these quick checks, you can do it yourself...

Try it for 216:
2 - is the last digit a multiple of two (0, 2, 4, 6, 8)?
3 - do the digits add up to a multiple of three (2+1+6 = 9)?
4 - are the last *two* digits (16) a multiple of four?
5 - is the last digit a multiple of 5 (0 or 5)?
6 - check the rules for 2 and 3, is it a multiple of both?
9 - do the digits add up to a multiple of nine (2+1+6=9)?
10 - is the last digit a 0?

Try it for 284:
2 - is the last digit a multiple of two (0, 2, 4, 6, 8)?
3 - do the digits add up to a multiple of three (2+8+4 = 14)?
4 - are the last *two* digits (84) a multiple of four?
5 - is the last digit a multiple of 5 (0 or 5)?
6 - check the rules for 2 and 3, is it a multiple of both?
9 - do the digits add up to a multiple of nine (2+8+4=14)?
10 - is the last digit a 0?

Try it for 1620:
2 - is the last digit a multiple of two (0, 2, 4, 6, 8)?
3 - do the digits add up to a multiple of three (1+6+2+0 = 9)?
4 - are the last *two* digits (20) a multiple of four?
5 - is the last digit a multiple of 5 (0 or 5)?
6 - check the rules for 2 and 3, is it a multiple of both?
9 - do the digits add up to a multiple of nine (1+6+2+0=9)?
10 - is the last digit a 0?

Remember, none of us will be there during the test, and you won't have a calculator, so learn these quick checks and you'll be able to do it all by yourself! Won't that feel great!

Continue trying it out and post your answers in the comments... I'll check back later to see if you were right...

2006-09-29 10:22:53 · answer #1 · answered by Puzzling 7 · 0 0

It's divisible by 2 and by 4. Why?
It ends in 0, so it's even and it ends in 20, so it's
divisible by 4.
Rule: An integer is divisible by 4 iff its last 2 digits
make a multiple of 4.
It's divisible by 10 and by 5. Why?
It ends in 0, so it's a multiple of 10 and 5.
It is not divisible by 3 or 9. Why?
The sum of its digits is 41, which is not a multiple of 3.

2006-09-29 20:48:12 · answer #2 · answered by steiner1745 7 · 0 0

225/3 = 75 225/5 = 45 225/9 = 25
218/2 = 108 216/3=72 216/4 =54
216/6=36 216/9=24
284/2=142 284/4=71
1620/2=810 1620/3=540 1620/4=405
1620/5=324 1620/6=270 1620/9=180
1620/10=162
Therefore the Factors of 1620 are 2,3,4,5,6,9,10, There! you happy now?

2006-09-29 17:37:05 · answer #3 · answered by Anonymous · 0 0

225: 3*75; 5*45; 9*25 not by: 2, 4, 10

216: 2*108; 3*72; 4*54; 6*36; 9*24 not by 5; 10

284: 2*142; 4*71; not by 3, 5, 6, 9

1620: 2*810; 3*540; 4*405; 5*324; 6*270; 9*180; 10*162

2006-10-03 00:02:59 · answer #4 · answered by yupchagee 7 · 0 0

just take a calculator, and divide each number by the other. if its a whole number (no numbers after the decimal,) then it is divisible.
for example:
225 / 2 = 112.25 so it is not divisiblle by 2
225/3 = 75 so it is divisible by 3

2006-09-29 17:25:39 · answer #5 · answered by Yoni 2 · 0 0

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