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26 Answered Questions for the topic Prime Factorization

Prime Factorization Prealgebra Linear Algebra

04/24/19

Can one factor matrices?

I know that one can factor integers as a product of prime numbers. Is there an analog of it to matrices? Can we define prime matrices such that every matrix is a product of prime matrices? Is there... more
Prime Factorization Prealgebra

04/24/19

Negative factors of a number?

Can a factor of a number be negative? Is -5 a factor of 25 or -25? A number is said to be prime if it has two factors : 1 and the number itself. So if -5 can be a factor of 5, how to define the... more
Prime Factorization Prealgebra Computer Science

04/24/19

fastest method to determine if two numbers are coprime?

I am working on a mathematical problem that involves coprime integers. I wrote a computer program that allows me to search for the numbers I am looking for. However I am looking at a large set of... more
Prime Factorization Prealgebra Prime Numbers

03/19/19

Are all highly composite numbers even?

A highly composite number is a positive integer with more divisors than any smaller positive integer. Are all highly composite numbers even (excluding 1 of course)? I can't find anything about this... more
Prime Factorization Prealgebra Number Theory

03/19/19

Numbers that are the sum of the squares of their prime factors?

A number which is equal to the sum of the squares of its prime factors with multiplicity: - $16=2^2+2^2+2^2+2^2$ - $27=3^2+3^2+3^2$ Are these the only two such numbers to exist? There has to be... more
Prime Factorization Prealgebra Prime Numbers

03/19/19

Can it be proven/disproven that there are highly composite numbers that prime-factorize into larger primes such as $9999991$?

Of course, following the rules found by Ramanujan, such a highly composite number would need to factorize into all primes ascending up to 9999991 (with descending powers as the primes progress) so... more
Prime Factorization Prealgebra Prime Numbers

03/18/19

When is $4n^4+1$ prime?

Find all natural numbers $n$ such that $4n^4+1$ is prime. $4n^4+1$ is obviously prime when $n=1$. But can we prove that no other $n$ works?
Prime Factorization Prealgebra Quadratics

03/18/19

Find $C$ such that $x^2 - 47x - C = 0$ has integer roots, and further conditions?

Have been working on this for years. Need a system which proves that there exists a number $C$ which has certain properties. I will give a specific example, but am looking for a system which could... more
Prime Factorization Prealgebra Abstract Algebra

03/18/19

Irreducible but not prime element?

>I am looking for a ring element which is irreducible but not prime. So necessarily the ring can't be a PID. My idea was to consider $R=K[x,y]$ and $x+y\\in R$. This is irreducible because in... more
Prime Factorization Prealgebra

03/15/19

Greatest prime factor of $4^{17}-2^{28}$?

I have seen the solution to this problem. > What is the greatest prime factor of $ \\ 4^{17} - 2^{28} \\ $? Answer: 7 $$ 4^{17}-2^{28} \\ = \\ 2^{34}-2^{28} \\ = \\ 2^{28} \\ (2^6-1) \\ = \\... more
Prime Factorization Prealgebra Prime Numbers

03/15/19

How many primes do I need to check to confirm that an integer $L$, is prime?

I recently saw the 1998 horror movie "Cube", in which a character claims it is humanly impossible to determine, by hand without a computer, if large (in the movie 3-digit) integers are prime... more
Prime Factorization Prealgebra Number Theory

03/12/19

Find a prime factor of $7999973$ without a calculator?

How would you go about finding prime factors of a number like $7999973$? I have trivial knowledge about divisor-searching algorithms.
Prime Factorization

09/21/17

Prime factorization of 5005 if each digit increases from left to right what is the code

Brent knows that the 6-digit number he uses to open his computer is the prime factorization of 5005. If each dodger of the code increases from left to right, what is his code?
Prime Factorization Prime Numbers

09/21/17

Maritza remembers her PIN because it is between 1000 and 1500 and it is the product of two consecutive prime numbers. What is her PIN

Marie remembers her PIN because it is between 1000 and 1500 and it is the product of two consecutive prime numbers. What is her PIN?  
Prime Factorization

09/18/17

A three digit number has the same hundreds, tens, and ones digits. The sum of the prime factors of the number is 47. What is the three digit number?

This problem is regarding using the prime factorization of numbers.  Can get the right answer but need and explanation of how to begin this process and take it through till the end.
Prime Factorization

06/02/17

George gets his hair cut every 4 weeks and Veronica gets hers cut every 6 weeks. When will they next have haircuts the same week?

may need to use prime numbers in the answer.  
Prime Factorization

04/20/17

write all the composite numbers less than or equal to 50 in prime factoriation

Another prime problem! Help me please!
Prime Factorization

09/06/16

Prime factorization of a rectangular board

a recantgular board measures 126cm by 90 cm.  the game board is divided into small squares of equal size.  find the longest possible length of the side of one of the small squares.
Prime Factorization

08/24/16

A rectangle game board measures 126 cm by 90 cm. The game board is divided into small squares of equal size.

Find the longest possible length of the side of one of the small squares.  And find the least number of squares the game board can be equally divided into.
Prime Factorization

09/23/15

A friend is Building a dog pen with an area of 150 square feet. Each side must be at least 5 feet long

A friend is Building a dog pen with an area of 150 ft.² each side must be at least 5 feet long list all of the dimensions of the dog pen 
Prime Factorization

08/19/15

The 6 digit number is prime factorization of 5005. If each digit of those increases from left to right, what is his code?

Brent knows that the 6 digit number he uses to open his computer is the prime factorization of 5005. If each digit of those increases from left to right, what is his code?

03/26/15

what must subtract from 99 to make it a perfect square

what must subtract from 99 to make it a perfect square by prime factorization method  
Prime Factorization

02/16/15

I dont understand the question. Can you explain?

At 10am an airplane departs from hanger A, Hanger b, and hanger c. Airplanes depart from Hanger A every 15 minutes, from Hanger B every 18 minutes, and from hanger C every 24 minutes.  How many... more
Prime Factorization Factorization

11/06/14

Fined the LCM (18,24)

using the prime factorization method 
1

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