There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.
Any number whose last digit is 0 would be divisible by both these numbers. 1000, 1010, 1020...
7777
All 4 digit numbers that are divisible by 9 are also divisible by 3. The first is 1008 and the last is 9999.
2999 of them.
There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.
Any number whose last digit is 0 would be divisible by both these numbers. 1000, 1010, 1020...
Yes.Two tests for divisibility by 4:If the last two digits are divisible by 4 the whole number is divisible by 4. (In both cases, the last two digits are 52 and 52 is divisible by 4 (52 = 4 x 13), so the original numbers are both divisible by 4.)Add the units digit to twice the tens digit; if this sum is divisible by 4, so is the original number. (In both cases: 2 + 2x5 = 12 which is divisible by 4 (12 = 4 x 3), so the original numbers are both divisible by 4.)
7777
18 numbers are there
All 4 digit numbers that are divisible by 9 are also divisible by 3. The first is 1008 and the last is 9999.
40,000, 80,000
2999 of them.
A number which which ends with a 2 digit number that is divisible by 4. For example, 1028 ends with 28 which is divisible by 4.
Eight of them.
48. Assuming no digit can be used more than once, the two digit numbers divisible by 4 are: 16, 36, 48, 56, 64, 68, 84, 96 8 of them. For any number to be divisible by 4, only the last two digits need be divisible by 4; so for three digit numbers, each of the two digit numbers above can be preceded by any of the remaining 5 digits and still be divisible by 4. → 5 x 8 = 40 three digit numbers are divisible by 4 → 40 + 8 = 48 two or three digit numbers made up of the digits {1, 3, 4, 5, 6, 8, 9} are divisible by 4. If repeats are allowed, there are an extra 2 two digit numbers (44 and 88) and each of the two digit numbers can be preceded by any of the 7 digits, making a total of 7 x 10 + 10 = 80 two and three digits numbers divisible by 4 make up of digits from the given set.
All whole numbers are divisible by 1. Numbers are divisible by 2 if they end in 2, 4, 6, 8 or 0. Numbers are divisible by 3 if the sum of their digits is divisible by 3. Numbers are divisible by 4 if the last two digits of the number are divisible by 4. Numbers are divisible by 5 if the last digit of the number is either 5 or 0. Numbers are divisible by 6 if they are divisible by 2 and 3. Numbers are divisible by 9 if the sum of their digits is equal to 9 or a multiple of 9. Numbers are divisible by 10 if the last digit of the number is 0.