All Questions
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Prime Factorization of very big factorials [duplicate]
Is there a quick way to prime factorize 50!.
I wrote down all the numbers and then factorized, but that takes way too long.
6
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2
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205
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(1) Sum of two factorials in two ways; (2) Value of $a^{2010}+a^{2010}+1$ given $a^4+a^3+a^2+a+1=0$.
Question $1$:
Does there exist an integer $z$ that can be written in two different ways as $z=x!+y!$,where $x,y\in \mathbb N$ and $x\leq y$?
Answer: $0!=1!$ so $0!+2!=3=1!+2!$
Question $2$:
If $...
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3
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3
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The ultimate formula to factor them all.
Context
I am working on Integer factorization problem, I found a formula for factoring numbers, and I need your help to simplify it. First I will explain how I get there and then I present the ...
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2
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2
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Integer factorization: What is the meaning of $d^2 - kc = e^2$
I found an interesting behavior when placing the integer factorization problem in to geometry, I call it pyramid factoring.
Lets assume we have $c$ boxes and we want to order them in to rectangle. ...
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3
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1
answer
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Find the smallest value of $n$ so that the greater potency of $5$ which divides $n!$ is $5^{84}$. What are the other numbers that enjoy this property?
Find the smallest value of $n$ so that the greater potency of $5$ which divides $n!$ is $5^{84}$. What are the other numbers that enjoy this property?
I thought I would put together an equation of ...
- 3,789
2
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1
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Find the prime factor decomposition of $100!$ and determine how many zeros terminates the representation of that number. [duplicate]
Find the prime factor decomposition of $100!$ and determine how many zeros terminates the representation of that number.
Actually, I know a way to solve this, but even if it is very large and ...
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