Oh, dude, a number that's divisible by both 4 and 9 would be 36. Like, 36 is the smallest number that fits the bill. So, if you ever need a number that can be split evenly between 4 and 9, just remember good ol' 36.
B
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.
To check for divisibility by 9 sum the digits of the number and if this sum is divisible by 9 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 9 so 32643 is divisible by 9. As 9 = 3 × 3, any number divisible by 9 is also divisible by 3, thus as 32643 is divisible by 9 it is also divisible by 3. However, for completeness: to check for divisibility by 3 sum the digits of the number and if this sum is divisible by 3 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 3 so 32643 is divisible by 3.
To determine if a number is divisible by 6, we need to check if it is divisible by both 2 and 3. The number 34614 is divisible by 2 because it is even (the last digit is even). To check if it is divisible by 3, we sum the digits: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 3, so 34614 is divisible by 3. Therefore, 34614 is divisible by 6. To check if it is divisible by 9, we sum the digits again: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 9, so 34614 is divisible by 9 as well.
To be divisible by both 4 and 9 a number must be a multiple of the Least Common Factor of 4 and 9. The LCM is 36. The first 3 digit number in each hundred that is a multiple of 36 are as follows :- 108, 216, 324, 432, 504, 612, 720, 828 and 900.
A number is divisible by 36 if it is divisible by both 4 and 9. For a number to be divisible by 4, its last two digits must form a number that is divisible by 4. For divisibility by 9, the sum of its digits must be divisible by 9. If a number meets both of these criteria, it is divisible by 36.
Oh, what a happy little question! To find a number that is divisible by both 9 and 4, we need to look for a number that is divisible by their least common multiple, which is 36. Out of the options given, the number 9126 is divisible by both 9 and 4, making it the correct choice. Just like painting a beautiful landscape, sometimes it takes a little patience and observation to find the right answer.
A five-digit number that is divisible by both 9 and 4 must meet the criteria for divisibility by these numbers. A number is divisible by 9 if the sum of its digits is divisible by 9, and it is divisible by 4 if the last two digits form a number that is divisible by 4. The smallest five-digit number is 10,000, and the largest is 99,999; thus, any five-digit number that meets these criteria can be calculated by finding the least common multiple of 9 and 4, which is 36, and checking multiples of 36 within that range. For example, 10,008 is a five-digit number divisible by both 9 and 4.
18324 is divisible by both 4 and 9. 18324 / 4 = 4581 18324 / 9 = 2036 You can simply check if a number is divisible by 4 if the last two digits are divisible by 4. The last two digits are 24. 24 is divisible by 4. (24/4=6) An easy way to check if a number is divisible by 9 is if sum of the digits are divisible by 9. 18324 1+8+3+2+4 =18 18 1+8 =9 9 is divisible by 9, so 18324 is divisible by 9.
1, 2 and 3
It's very easy to test a number to see if it is divisible by 4 or by 9. If it passes both tests, then it is divisible by 4x9=36.To test for divisibility by 9, add the digits of the number. If the sum is divisible by 9, then the number is divisible by 9.To test for divisibility by 4, look at the last two digits. If they are a multiple of 4, then the number is divisible by 4.
9990 is one such number.
B
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.
If it is divisible by a whole number that isn't 1 and gets another whole number, it is not prime. 8 is divisible by both 2 and 4. 9 is divisible by 3.
To check for divisibility by 9 sum the digits of the number and if this sum is divisible by 9 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 9 so 32643 is divisible by 9. As 9 = 3 × 3, any number divisible by 9 is also divisible by 3, thus as 32643 is divisible by 9 it is also divisible by 3. However, for completeness: to check for divisibility by 3 sum the digits of the number and if this sum is divisible by 3 then so is the original number. For 32643: 3 + 2 + 6 + 4 + 3 = 18 which is divisible by 3 so 32643 is divisible by 3.
To determine if a number is divisible by 6, we need to check if it is divisible by both 2 and 3. The number 34614 is divisible by 2 because it is even (the last digit is even). To check if it is divisible by 3, we sum the digits: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 3, so 34614 is divisible by 3. Therefore, 34614 is divisible by 6. To check if it is divisible by 9, we sum the digits again: 3 + 4 + 6 + 1 + 4 = 18, which is divisible by 9, so 34614 is divisible by 9 as well.