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What is the converse inverse and contrapositive If every digit of a number is divisible by 3 then the number is divisible by 3?

Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.


What largest 3 - digit number divisible by both 6 and 9?

999 is divisible by 9, but not by six; the next lower number divisible by 9 is 990, which is also divisible by 6, so that's the answer. Some shortcuts for divisibility: 0 is divisible by any number. If the last digit of a number is divisible by 2, the number itself is divisible by 2. If the sum of the digits of a number is divisible by 3, the number itself is divisible by 3. If the last TWO digits of a number are divisible by 4, the number itself is divisible by 4. If the last digit of a number is divisible by 5, the number itself is divisible by 5. If a number is divisible by both 2 and 3, it is divisible by 6. If the last THREE digits of a number are divisible by 8, the number itself is divisible by 8. If the sum of the digits of a number is divisible by 9, the number itself is divisible by 9. 990: 9+9+0=18, which is divisible by 9, so 990 is divisible by 9. 18 is also divisible by 3, so 990 is divisible by 3, and since 990 ends in 0 it's also divisible by 2, meaning that it's divisible by 6 as well.


35 is a number divisible by 3 what number is?

35 is not divisible by 3.


What is the converse of the sentence A number divisible by 9 is also divisible by 3?

If a number is not divisible by 3 then it is not divisible by 9.


Indentify the conclusion what conditional a number is divisible by 3 if the sum of the digits of the number is divisible by 3?

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

Related Questions

What number is divisible by the most numbers?

There can be no such number. Suppose n is a number that is divisible by k numbers. Suppose p is any integer greater than 1. Then n*p is a number that is divisible by at least k+2 numbers.In this way it is always possible to find another number that is divisible by more numbers.


What is the converse inverse and contrapositive If every digit of a number is divisible by 3 then the number is divisible by 3?

Converse:If a number is divisible by 3, then every number of a digit is divisible by three. Inverse: If every digit of a number is not divisible by 3 then the number is not divisible by 3? Contrapositive:If a number is not divisible by 3, then every number of a digit is not divisible by three.


What largest 3 - digit number divisible by both 6 and 9?

999 is divisible by 9, but not by six; the next lower number divisible by 9 is 990, which is also divisible by 6, so that's the answer. Some shortcuts for divisibility: 0 is divisible by any number. If the last digit of a number is divisible by 2, the number itself is divisible by 2. If the sum of the digits of a number is divisible by 3, the number itself is divisible by 3. If the last TWO digits of a number are divisible by 4, the number itself is divisible by 4. If the last digit of a number is divisible by 5, the number itself is divisible by 5. If a number is divisible by both 2 and 3, it is divisible by 6. If the last THREE digits of a number are divisible by 8, the number itself is divisible by 8. If the sum of the digits of a number is divisible by 9, the number itself is divisible by 9. 990: 9+9+0=18, which is divisible by 9, so 990 is divisible by 9. 18 is also divisible by 3, so 990 is divisible by 3, and since 990 ends in 0 it's also divisible by 2, meaning that it's divisible by 6 as well.


Is the number 999977 a prime number?

No. It is divisible by 11.No. It is divisible by 11.No. It is divisible by 11.No. It is divisible by 11.


A number is divisible by 4 if the tens and one digits.?

A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.


If the number is divisible by 2 and 3 the whole number is divisible by?

It is divisible by 6


35 is a number divisible by 3 what number is?

35 is not divisible by 3.


What is the converse of the sentence A number divisible by 9 is also divisible by 3?

If a number is not divisible by 3 then it is not divisible by 9.


Indentify the conclusion what conditional a number is divisible by 3 if the sum of the digits of the number is divisible by 3?

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.


A number is divisible by 8 if?

If the number formed by the last three digits is divisible by 8. Alternatively, if the number is divisible by 2, the quotient is divisible by 2 and that quotient is divisible by 2.


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.


By which number is 403 is divisible?

403 is divisible by no number