# How many two digit numbers divisible by neither 3 nor 5?

48.

The first two digit number is 10, the last two digit number is
99, so there are 99 - 10 + 1 = **90** two digit
numbers

→ 10 ÷ 3 = 31/3 → first two digit number divisible by 3 is
**4** x 3 = 12

→ 99 ÷ 3 = 33 → last two digit number divisible by 3 is
**33** x 3 = 99

→ 33 - 4 + 1 = **30** two digit numbers divisible
by 3

→ 10 ÷ 5 = 2 → first two digit number divisible by 5 is
**2** x 5 = 10

→ 99 ÷ 5 = 194/5 → last two digit number divisible by 5 is
**19** x 5 = 95

→ 19 - 2 + 1 = **18** two digit numbers divisible
by 5

→ 30 + 18 = **48** two digit numbers divisible by 3
or 5 OR BOTH.

The numbers divisible by both are multiples of their lowest common multiple: lcm(3, 5) = 15, and have been counted twice, so need to be subtracted from the total

→ 10 ÷ 15 = 010/15 → first two digit number divisible by 15 is
**1** x 15 = 15

→ 99 ÷ 15 = 69/15 → last two digit number divisible by 15 is
**6** x 15 = 90

→ 6 - 1 + 1 = **6** two digit numbers divisible by
15 (the lcm of 3 and 5)

→ 48 - 6 = **42** two digit numbers divisible by 3
or 5.

→ 90 - 42 = **48** two digit numbers divisible by
neither 3 nor 5.

### How many 5 digit numbers are divisible by 150?

There are 600 5-digit numbers divisible by 150.

### How many 3 digit numbers are divisible by 6 in all?

There are 151 3-digit numbers that are divisible by 6.

### How many 3-d How many 3-digit numbers will be there which are divisible by 19igit numbers with atleast one 5 in their digits?

None. 3 digit numbers are not divisible by 19 digit numbers.

### How many 2 digit numbers are divisible by 3?

Starting at 12 and ending at 99, there are 30 two-digit numbers divisible by three.

### How many positive three digit integers are divisible by neither 2 nor 3?

There are 300 three digit numbers that are divisible by neither 2 nor 3. There are 999 - 100 + 1 = 900 three digit numbers. 100 ÷ 2 = 50 → first three digit number divisible by 2 is 50 × 2 =100 999 ÷ 2 = 499 r 1 → last three digit number divisible by 2 is 499 × 2 = 998 → there are 499 - 50 + 1 = 450… Read More

### The number 64 is divisible by its unit digit 4 How many whole numbers less than 64 are divisible by their unit digit?

18 numbers are there

### How many Three Digit Numbers are Divisible by BIN-10001?

A three digit number cannot be divisible by a 5 digit number - in any base.

### How many 5 digit numbers under 20000 are divisible by 4 and 9?

There are 278 5-digit numbers less than 20,000 that are divisible by both four and nine.

### How many 3 digit numbers will be there which are divisible by 19?

The first 3 digit number divisible by 19 is 114 (= 19 x 6) The last 3 digit number divisible by 19 is 988 (= 19 x 52) That means that there are 52 - 6 + 1 = 47 three digit numbers that are divisible by 19.

### How many 6 digits numbers can be formed from the digit 01357 and 9 which are divisible by 10 and no digit is repeated?

There are 5! = 120 such numbers.

### How many 2 digit numbers are divisible by 5?

There are 18 numbers with 2 digits that are divisible by 5. First 2 digit number is 10 → 10 ÷ 5 = 2 → first 2 digit number divisible by 25 is 5 × 2 Last 2 digit number is 99 → 99 ÷ 5 = 19 4/5 → last 2 digit number divisible by 5 is 5 × 19 → There are 19 - 2 + 1 = 18 numbers with 2 digit… Read More

### How many 2 digit numbers are divisible by 7?

All 2 digit numbers are divisible by 7: it is simply that some of the quotients are not whole numbers. 10/7 = 1 3/7 99/7 = 14 1/7 So the number of 2-digit numbers which are evenly divisible by 7 are 14-1 = 13.

### How many six digit numbers that is numbers between 100000 and 999999 are divisible by 10?

There are 90,000 such numbers.

### How many 2 digit numbers are divisible by 5 and 6?

If n is divisible by both 5 and 6, then it should be divisible by 30 (5 * 6). Considering you are asking for only two-digit numbers, the answer(s) would be 30, 60, and 90. So, three numbers.

### How many three digit numbers are divisible by 9?

100. The highest 3 digit number divisible by 9 is 999 (111 times). The highest 2 digit number divisible by 9 is 99 (11 times). The difference is 100.

### How many three digit numbers are divisible by 4?

Trick question all numbers are divisible by four ,but only 175 result in whole numbered answers

### How many 6 digit numbers which consist of all the digits 123456 are divisible by all of 123456?

None. Extremely simple proof: To be divisible by 5 the units digit must be 5. But then it would not be divisible by 2.

### How many six digit numbers are there in which no digit is repeated even digits appeared in the even places and odd digits in the odd places and the number is divisible by 4?

There are 5760 such numbers.

### How many four digit numbers which are divisible by 7?

Best way to work this out: find the highest number below 10,000 that is divisible by 7 (9,996) and divide that by 7 (1,428). 1,428 is the amount of one-, two-, three- and four-digit numbers divisible by 7. Now find the number of one-, two- and three-digit numbers divisible by 7 (which is 994/7 = 142) and subtract this number from 1,428, giving us 1,286.

### How many 2-digit or 3-digit numbers can be formed using the digits 134568 and 9 which are diisible by 4?

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… Read More

### How many three digits natural numbers are divisible by 4?

The first 3 digit natural number is 100: 100 ÷ 4 = 25 → first 3 digit natural number divisible by 4 is 4 × 25 The last 3 digit natural number is 999: 999 ÷ 4 = 249 r 3 → last 3 digit natural number divisible by 4 is 4 × 249 → number of 3 digit natural numbers divisible by 4 is 249 - 25 + 1 = 225.

### How many 3 digit numbers divisible by 9 can be formed from the digits 0123456789?

There are 76 such numbers. Eight more if you allow numbers to start with 0.

### How many two-digit numbers are divisible by both 9 and 2?

There are five numbers: 18, 36, 54, 72, 90.

### What is a four digit mumber that is divisible by 6?

There are many four digit numbers which are evenly divisible by 6. The smallest of these is 1,002. If we add 6 to this number then this will give us the next. 1,002 + 6 = 1,008. We can keep adding 6 to find all the remaining numbers if we wish.

### How many 3 digit numbers are divisible by 4 and 6?

There are 75 multiples of 12 between 100 and 1000.

### How many prime numbers have 5 as there last digit?

one 5 all others are divisible by 5 at least

### How many positive prime numbers have a ones digit of 5?

Only one positive prime number has a 5 in the ones digit. That prime number is 5. All other numbers with a 5 in the ones digit are composite because they will be divisible by 5.

### How many 2 digit numbers are there that have one 5 and are divisible by 3?

There are 6. They are: 15,45,75,51,54,57. If you want to include negative numbers (i.e. -15 etc...) then you can double the answer.

### How many numbers from 1 to 100 are such each which is divisible by 8 and whose at least one digit is 8?

There are 4 such numbers (8, 48, 80, 88).

### What is the method to find how many numbers are divisible by 9 between 1to 10000?

If the digit sum of any number from 1 to 10,000 add up to 9 then that number is divisible by 9 as for example 7641 is divisible by 9 because the final digit sum is 9 and so 7641/9 = 849

### How many 3-digit odd palindromes are divisible by 5?

There are 10 3-digit odd palindromes that are divisible by five.

### How many 3-digit numbers can be formed from 0-9 and is divisible by 25?

22, if leading 0s are disallowed. 24 if they are permitted.

### How many positive integers with exactly three decimal digit positive integers between 100 and 999 inclusive divisible by 7?

Of the 729 numbers that satisfy the requirement of positive integers, 104 are divisible by 7.

### How many 13 digit numbers are possible by using the digits 12345 which are divisible by 4 if repetition of digits is not allowed?

If repetition of digits isn't allowed, then no 13-digit sequences can be formed from only 5 digits.