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If every digit of a number is divisible by 3 then the number itself is divisible by 3?
Yes.
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.
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 is a 4-digit number that is divisible by only 6 and 9?
There is no number that is divisible by only 6 and 9 because any number is divisible by 1 and itself. Furthermore, any number that is divisible by 6 MUST be divisible by 2 as well as 3 - so only 6 is impossible.
What is the rule for a number that is divisible by 4?
If the last two digits are divisible by 4 then the number is divisible by 4. Thus, if the tens digit is even and the units digit is 0 or 4 or 8 OR if the tens digit is odd and the units digit is 2 or 6 then the number is divisible by 4.
If every digit of a number is divisible by 3 then the number itself is divisible by 3?
Yes.
What is a four digit number that is divisible by itself?
They all are.
What is the divisible of 5?
to be divisible by 5 the last digit of the number has to be 0 or 5
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.
What are the greatest four digit numbers that are divisible by nine?
The greatest four-digit number is 9999. To find the largest four-digit number divisible by nine, we can check if 9999 is divisible by nine by summing its digits: 9 + 9 + 9 + 9 = 36, which is divisible by nine. Therefore, the greatest four-digit number that is divisible by nine is 9999 itself.
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 if a number is divisible by 5 if the ones digit is?
If the units digit is a five or a zero, then the number may be evenly divided by five. (Zero itself exempted.)
What is a 3 digit number that is divisible by 1?
a 3 digit number that is divisible by on is a three digit number that is a multiple of one.
What is the smallest 4-digit number that is dividable by 2 3 5 and 9?
1080
If the sum of the digits of a number is divisible by 2 then the original number is also divisible by 2.?
The statement is not correct. The sum of the digits of a number being divisible by 2 indicates that the sum is even, but it does not guarantee that the original number itself is even. A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). For example, the number 13 has a digit sum of 4 (1 + 3), which is even, but 13 itself is not divisible by 2.
Explain why 45 is not a prime number?
Any number that ends with the digit 5 is divisible by 5.Any number that ends with the digit 5 is divisible by 5.Any number that ends with the digit 5 is divisible by 5.Any number that ends with the digit 5 is divisible by 5.
What is the number n where if the sum of the digits of the number is divisible by n the number itself is divisible by n?
3 and 9. 93 has a digit sum of 12, initially, which is divisible by 3, but not by 9. So 93 is divisible by 3, but not by 9. 99 has a digit sum of 18, initially, which is divisible by 3 and 9. So 99 is divisible by both 3 and 9.
