All Questions
5
questions
2
votes
2
answers
234
views
The product of the ages of someone's children
Maria's children are all in school - and their ages are all whole numbers. If the school only takes children from $5$ up to $18$ years and the product of the children's ages is $60,060$ - how many ...
- 25
10
votes
4
answers
13k
views
How to get all the factors of a number using its prime factorization?
For example, I have the number $420$. This can be broken down into its prime factorization of $$2^2 \times3^1\times5^1\times7^1 = 420 $$
Using $$\prod_{i=1}^r (a_r + 1)$$ where $a$ is the magnitude ...
- 453
1
vote
1
answer
2k
views
Smallest number with at least $n$ divisors.
I have seen lots of posts on "exactly $n$ divisors" and understood the process as well, but I can't seem to find or come up with an algorithm, apart from brute force, for "at least $n$ divisors".
...
- 51
31
votes
0
answers
1k
views
Have I discovered an analytic function allowing quick factorization?
So I have this apparently smooth, parametrized function:
The function has a single parameter $ m $ and approaches infinity at every $x$ that divides $m$.
It is then defined for real $x$ apart from ...
- 1,091
1
vote
1
answer
106
views
$n$ is a divider of $c$ if and only if $n = 2(c \mod (n-1)) - (c \mod(n-2)) + 2$
While working on Integer factorization problem I came to this conclusion:
If and only if $n$ is a divider of $c$
$$c\mod n = 0$$
Than
$$n = 2(c \mod (n-1)) - (c \mod(n-2)) + 2$$
c,n are positive ...
- 1,450