All Questions
5
questions
2
votes
1
answer
59
views
How to find the number of compound divisors of the smallest product from two unknown numbers?
The problem is as follows:
The number of panadol pills at a pharmacy is a positive whole number
that it has two prime divisors and 45 positive divisors. The number of
tylenol pills at the same ...
- 4,185
1
vote
4
answers
98
views
When $f(x)=\frac{-b^2m-ba+ax}{-mx-bm-a}$ is an integer
$a,b,m,x$ are positive integers.
For which $x>0$ is $f(x)$ an integer?
$$f(x)=\frac{-b^2m-ba+ax}{-mx-bm-a}$$
I been trying to play with it, I changed it to:
$$\frac{b^2m-a\left(b+x\right)}{a+m\...
- 1,450
1
vote
1
answer
73
views
When $f(x) = \frac{ax + b}{a -x + 1}$ is an integer
Given that $a$ and $b$ are positive integers. and $$f(x) = \frac{ax + b}{a -x + 1}$$ is an integer, what integer values can x have?
If I could only somehow move $x$ from numerator to the denominator ...
- 1,450
-1
votes
1
answer
32
views
Highest common factor of integers which are the same. [closed]
If $a=-b \in \mathbb{Z}, $
Then $hcf(a, b)=|a|=|b|$, right?
- 1,319
4
votes
3
answers
113
views
Find the greatest common divisor of $2003^4 + 1$ and $2003^3 + 1$
Find the greatest common divisor of $2003^4 + 1$ and $2003^3 + 1$ without the use of a calculator. It is clear that $2003^4+1$ has a $082$ at the end of its number so $2003^4+1$ only has one factor of ...
- 321