L.C.M. of 4, 9 and 10 is 180. Here, prime factor 5 has no pair. Therefore 180 must be multiplied by 5 to make it a perfect square. Hence, the smallest square number which is divisible by 4, 9 and 10 is 900.
How many five digit numbers are there that are divisible by 4?
If the number consists of only five digits [0123456789], then there are 10^5 or 100,000 possible numbers (from 00000 to 99999), and 25000 of them are divisible by four.
What is a 4-digit number divisible by 6 and 9?
14*72 = 1008. So 1008 is the smallest 4-digit divisible by 6, 8 and 9. It’s 1008 .
How many 5-digit numbers can be formed from the digits 123456 which are divisible by 4?
Similarly, there will also be 125 five digited numbers when last two positions are occupied by 22,32,44 and 52 too. Hence, total number of 5 digited numbers divisible by 4 will be 5*125=625.
How many 5-digit numbers can be formed with digits 1,2 3 4 5 6 that are divisible by 4 and digits are not repeated?
Therefore, there are a total of 192 numbers which can be formed using the digits 1,2,3,4,5,6 without repetition such that the number is divisible by 4. Hence, option (B) is the correct option.
How many numbers are divisible by 4 and 9?
So there are 11 + 25 = 36, so 36 numbers divisible by one or the other, but this also includes every number which is divisible by both 9 and 4 twice.
What is the smallest number divisible by 4 6 9?
The smallest number that can be divided by 4,6 and 9 is 36.
How many 5-digit numbers can be formed from 12345 which are divisible by 4?
What is the least number divisible by 2 3 4 5 and 7?
301 is divisible by 7. Therefore 301 is the least number which leaves remainder as 1 when divided by 2, 3, 4, 5, 6 and leaves no remainder when divided by 7.
What 4 digit numbers are divisible by 7?
The first 4-digit number divisible by 7 is 1001. This is sometimes also referred to as the smallest four digit number divisible by 7 or the lowest 4-digit number divisible by 7. What is the last four digit number divisible by 7? The last 4-digit number divisible by 7 is 9996.
How many 5-digit numbers can be formed which are divisible by 3?
Question: A five digit number divisible by 3 is to be formed using the digits 0,1,2,3,4 and 5, without repetition. The total number of ways this can be done, is. A. 216.
How many 5-digit numbers can be formed from 12345 which are divisible by 3?
= 360 ways. Therefore, total (6*360) = 2160 five-digit numbers can be formed from 0, 1, 2, 3, 4, 6 and 7 without repetition.
How many 5 digit numbers can be formed using the digits 2 to 9 if repetition of digits is not allowed?
There are 6,720 five digit numbers that can be formed from the digits provided given that no digit may be repeated. As repetition is not allowed, For first digit selection, we have 8 choices.
How many 5 digits numbers can be formed?
So, the number of 5-digit numbers that have zero as the first digit are 10 × 10 × 10 × 10 = 10,000. If we subtract these 10,000 ways from the overall 1,00,000 ways, we are left with 90,000. Therefore, there are 90,000 unique 5-digit numbers possible.
What 4-digit numbers are divisible by 7?
What is a 4-digit number divisible by 9?
The first 4-digit number divisible by 9 is 1008. This is sometimes also referred to as the smallest four digit number divisible by 9 or the lowest 4-digit number divisible by 9. What is the last four digit number divisible by 9? The last 4-digit number divisible by 9 is 9999.
What is the smallest square number divisible by 6 9 and 15?
900
So, the smallest square number that can be divided by 6, 9 and 15 is 900.
What is the largest 4 digit number divisible by 6 8 and 9?
divide it by 72 we get 13 as quotient and 64 as remainder so add 8 to 1000 then 1008 is the smallest 4 digit number divisible by 6,8 and 9. Hope it helps you.
