# Recent questions tagged factors

0 votes
0 answers
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 $7$
4 votes
3 answers
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
2 answers
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
1 answer
4
The highest power of $3$ contained in $1000!$ is $198$ $891$ $498$ $292$
1 vote
2 answers
5
The total number of factors of $3528$ greater than $1$ but less than $3528$ is $35$ $36$ $34$ None of these
1 vote
1 answer
6
The total number of factors of $3528$ greater than $1$ but less than $3528$ is $35$ $36$ $34$ None of these
2 votes
1 answer
7
Consider the set of integers $\{1,2,3,\ldots,5000\}.$ The number of integers that is divisible by neither $3$ nor $4$ is $:$ $1668$ $2084$ $2500$ $2916$
4 votes
1 answer
8
$N$ is the smallest number that has $5$ factors. How many factors does $N-1$ have? $4$ $6$ $5$ $3$
0 votes
1 answer
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$?$
11 votes
5 answers
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? $3047$ $6047$ $7987$ $63847$
0 votes
0 answers
11
The number of 3 digit numbers which are neither multiples of 11 nor 13 are a) 456 b) 562 c) 662 d) 756
2 votes
2 answers
12
in how many ways can 10! be written as the product of two natural number?
2 votes
1 answer
13
how many numbers less than 1000 will have exactly 3 factor?
2 votes
1 answer
14
how many two digit odd numbers are there with 8 factors?
0 votes
1 answer
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 $3$
0 votes
2 answers
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 $7$
5 votes
4 answers
17
How many $0$’s are there at the end of $50!$?
6 votes
1 answer
18
Among numbers $1$ to $1000$ how many are divisible by $3$ or $7$? $333$ $142$ $475$ $428$ None of the above.
9 votes
3 answers
19
The exponent of $3$ in the product $100!$ is $27$ $33$ $44$ $48$ None of the above.
9 votes
2 answers
20
How many integers from $1$ to $1000$ are divisible by $30$ but not by $16$? $29$ $31$ $32$ $33$ $25$
11 votes
5 answers
21
What is the average of all multiples of $10$ from $2$ to $198$? $90$ $100$ $110$ $120$
17 votes
2 answers
22
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 $7$ ? $\left(\dfrac{13}{90}\right)$ $\left(\dfrac{12}{90}\right)$ $\left(\dfrac{78}{90}\right)$ $\left(\dfrac{77}{90}\right)$
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