# Recent questions tagged factors 1
How many multiples of $6$ are there between the following pairs of numbers? $0$ and $100$ and $-6$ and $34$ $1$ and $6$ $17$ and $6$ $17$ and $7$ $16$ and $7$
2
The number of divisors of $6000$, where $1$ and $6000$ are also considered as divisors of $6000$ is $40$ $50$ $60$ $30$
1 vote
3
The number of ways in which the number $1440$ can be expressed as a product of two factors is equal to $18$ $720$ $360$ $36$
1 vote
4
The highest power of $3$ contained in $1000!$ is $198$ $891$ $498$ $292$
1 vote
5
The total number of factors of $3528$ greater than $1$ but less than $3528$ is $35$ $36$ $34$ None of these
1 vote
6
The total number of factors of $3528$ greater than $1$ but less than $3528$ is $35$ $36$ $34$ None of these
7
Consider the set of integers $\{1,2,3,\ldots,5000\}.$ The number of integers that is divisible by neither $3$ nor $4$ is $:$ $1668$ $2084$ $2500$ $2916$
8
$N$ is the smallest number that has $5$ factors. How many factors does $N-1$ have? $4$ $6$ $5$ $3$
9
In $900$ how many $(A)$ Number of factors(divisors) are possible$?$ $(B)$ Number of Even factors are possible$?$ $(C)$ Number of Odd-factors are possible$?$ $(D)$ If the number is divisible by $25$ then a number of factors are possible$?$ $(E)$ Sum of factors$?$ $(F)$ Product of factors$?$
10
What would be the smallest natural number which when divided either by $20$ or by $42$ or by $76$ leaves a remainder of $7$ in each case? $3047$ $6047$ $7987$ $63847$
11
The number of 3 digit numbers which are neither multiples of 11 nor 13 are a) 456 b) 562 c) 662 d) 756
12
in how many ways can 10! be written as the product of two natural number?
13
how many numbers less than 1000 will have exactly 3 factor?
14
how many two digit odd numbers are there with 8 factors?
15
$x^{2}+x+1$ is a factor of $\left ( x+1 \right )^{n}-x^{n}-1$ whenever $n$ is odd $n$ is odd and multiple of $3$ $n$ is an even multiple of $3$ $n$ is odd and not a multiple of $3$
16
How many multiples of $6$ are there between the following pairs of numbers? $0$ and $100$ and $-6$ and $34$ $16$ and $6$ $17$ and $6$ $17$ and $7$ $16$ and $7$
17
How many $0$’s are there at the end of $50!$?
18
Among numbers $1$ to $1000$ how many are divisible by $3$ or $7$? $333$ $142$ $475$ $428$ None of the above.
19
The exponent of $3$ in the product $100!$ is $27$ $33$ $44$ $48$ None of the above.
How many integers from $1$ to $1000$ are divisible by $30$ but not by $16$? $29$ $31$ $32$ $33$ $25$
What is the average of all multiples of $10$ from $2$ to $198$? $90$ $100$ $110$ $120$
Out of all the $2$-digit integers between $1$ and $100,$ a $2$-digit number has to be selected at random. What is the probability that the selected number is not divisible by $7$ ? $\left(\dfrac{13}{90}\right)$ $\left(\dfrac{12}{90}\right)$ $\left(\dfrac{78}{90}\right)$ $\left(\dfrac{77}{90}\right)$