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Answered 2011-11-25 20:44:42

60 divided by 6 = 10

60 divided by 15 = 4

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Is this biconditional statement true A number is divisible by 6 if and only if it is divisible by 3?

noIt is true that if a number is divisible by 6, it alsodivisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6.http://wiki.answers.com/A_number_is_divisible_by_6_if_and_only_if_it_is_divisible_by_3&action=edit


A number is divisible by 6 if and only if it is divisible by 3?

If this is a T-F question, the answer is false. It is true that if a number is divisible by 6, it also divisible by 3. This is true because 6 is divisible by 3. However, the converse -- If a number is divisible by 3, it is divisible by 6, is false. A counterexample is 15. 15 is divisible by 3, but not by 6. It becomes clearer if you split the question into its two parts. A number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. A number is divisible by 6 only if it is divisible by 3? True.


Can 3 always be divisible by 9 but divisible by 6?

Multiples of 9 and 6 are also divisible by three, the reverse is not true. 15 is divisible by 3, but not 6 or 9. 27 is divisible by 3 and 9, but not 6. 12 is divisible by 3 and 6, but not 9. 54 is divisible by 3, 6 and 9.


What 2 digit numbers are divisible by 3 but not by 6?

Since 3 is a factor of 6, any number divisible by 6 is also divisible by 3. But since 2 is also a factor of 6, then any number divisible by 6 must also be divisible by 2. This means that any number divisible by 6 is an even number. So if a number is odd and it is divisible by 3, then it is not divisible by 6. For example, 12 is divisible by 3, but since it is even, it is also divisible by 6. But 15 is divisible by 3, and it is odd, so it is not divisible by 6.


All numbers divisible by 4 and 15 are also divisible by what?

They are divisible by 2, 3, 4, 5, 6, 10, 12, 15, 30 and 60 at least.


Which of these 2 3 4 5 6 7 8 9 10 is divisible by 15?

None of them. 15 is divisible by 3 and 5


Is 3 divisible by 870?

No. But 870 is divisible by 3 (because 8+7+0 = 15 -> 1 + 5 = 6 and 6 is divisible by 3). 870/3 = 290.


What is 30 divisible by?

30 is divisible by 1, 2, 3, 5, 6, 10, 15, and 30.


All numbers divisible by both 4 and 15 are also divisible by what numbers?

a number is 6. All numbers divisible by both 4 and 15 are the multiples of 4 and 15. Since 4 and 15 have no prime factor in common (4 = 22, 15 = 3 · 5), then the least common multiple of 4 and 15 is equal to their product, namely 4 · 15 = 60. Every other multiple of 4 and 15 is divisible by 60. Thus, if 60 is divisible by a number then all the multiples of 4 and 15 are divisible by that number. Therefore, it is enough to check by which number in the given options is 60 divisible. Only 6 divides 60 and none of the other do. The answer must be (A).


Is 15 divisible by 3?

Yes Example 1+5=6 and 6 is a multiple of 3


Is 6 divisible by 162?

6 is not divisible by 162. 162 is divisible by 6.


Which of these cannot be divided evenly into 15 A5 B3 C2 D1 E not of the above?

Divisibility tests:A: 5Last digit of the number is 0 or 5. Last digit of 15 is 5, so 15 is divisible by 15B: 3Sum the digits of the number; if this sum is divisible by 3, so is the original number. 1 + 5 = 6, which is divisible by 3, so 15 is divisible by 3C: 2Number is even (last digit is divisible by 2) 15 is odd, so 15 is not divisible by 2D: 1All numbers are divisible by 1. 15 is a number, so it is divisible by 1.Thus 15 is not divisible by C (2).


Is 15 divisible by 2?

No. 15 is divisible by 1, 3, 5, 15.


What numbers is 15 divisible by?

15 is divisible by 1, 3, 5, 15.


Is 1430061 divisible by 3 explain?

Yes, it is. The digital root of 1430061, that is, the sum of all its digits is 1+4+3+0+0+6+1 = 15 The digital root of 15 is 1+5 = 6 which is divisible by 3. So 1430061 is divisible by 3.


Is 15 divisible by 10?

No. 15 is not evenly divisible by ten.


What factor is divisible by 3?

3, 6, 9, 12, 15 and so on.


Is the number 5136 divisible by 2 3 4 5 9 or 10?

5136 is divisible by 2, 3 and 4. It is not divisible by 5, 9 and 10. The tests: 5136 ends in 6 which is divisible by 2, so 5136 is divisible by 2 (5136 = 2 x 2568) (This can also be stated that as 5136 is even (since it ends in 6), 5136 is divisible by 2.) 5 + 1 + 3 + 6 = 15 which is divisible by 3, so 5136 is divisible by 3 (5136 = 3 x 1712) 5136 ends with 36 which is divisible by 4, so 5136 is divisible by 4 (5136 = 4 x 1284) 5136 ends in 6 which is neither 5 nor 0 so it is not divisible by 5 5 + 1 + 3 + 6 = 15 which is not divisible by 9 so 5136 is not divisible by 9 5136 ends in 6 which is not 0 so 5136 is not divisible by 10


What is the rule of divisible by 6?

If it is divisible by 2 and 3, it is divisible by 6.


What is the divisible by 6?

If a number is divisible by 2 and 3, it is divisible by 6.


What is the divisible of 6?

if a number is divisible by 2 and 3 then its divisible by 6


What odd number is divisible by 6?

No odd number can be evenly divisible by 6. Since 6 is divisible by 2, any number that is divisible by 6 will automatically be divisible by 2.


Is 483 divisible by 6?

No. 483 is not divisible by 6.A number is divisible by 6 if it is divisible by both 2 and 3.It is divisible by 2 if it is even and it is divisible by 3 if the sum of the digits is a multiple of 3.483 is not divisible by 6 since it is not divisible by 2 although it is divisible by 3.


Is 138 divisible by 6?

138 is divisible by 6. Any number is divisible by 6 if it is an even number that also is divisible by 3.


Are the fractions 2 over 5 and 6 over 15 equivalent?

Yes, both 6|15 are divisible by 3 to give 2|5.


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