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Factoring and Multiples
This category should include questions about greatest common factors and lowest common multiples.
63,380 Questions
What is the prime factorization of 284?
As a product of its prime factors: 2*2*71 = 284 or as 22*71 = 284
What is the factorization of 201?
The factorization of 201 is:
1 X 201
3 X 67
The prime factorization of 201 is:
3 X 67 (both numbers are prime)
C plus plus program Code for greatest common factor using prime factorization?
#include
#include
#include
void main()
{
int a,b,c;
clrscr();
cout<<"Enter the first no : ";
cin>>a;
cout<<"\nEnter the Second no : ";
cin>>b;
int k=0;
if(a==0)
{
cout<<"\nGCF : "<
}
if(b==0)
{
cout<<"\nGCF : "<
}
while((a & 1)==0 && (b&1)==0)
{
a>>=1;
b>>=1;
k+=1;
}
do
{
if((a & 1)==0)
{a>>=1;}
else if((b & 1)==0)
{b>>=1;}
else if(a>=b)
{a=(a-b)>>1;}
else
{
b=(b-a)>>1;
}
}while(a>0);
cout<<"\nGCF : "<
getch();
}
What are the factors and prime factors of 177953?
177,953 is a prime number. The only two factors of a prime number are 1 and itself.
The two factors of 177,953 are 1 and 177,953. There are only two factors of a prime number.
The only factor pair of 177,953 is 1 x 177,953. There is only one factor pair of a prime number.
The proper factors of 177,953 are only 1 or,
if the definition you are using excludes 1, there are none.
The only prime factor of 177,953 is 177,953. There is only one prime factor of a prime number - itself.
The distinct prime factor (listing each prime factor only once) of 177,953 is also 177,953.
The prime factorization of 177,953 is 177,953. In some cases, to emphasize that it is prime, you might write the prime factorization as 1 x 177,953.
NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.
Factor the trinomial below enter each factor in descending order 16x2 plus 40x plus 25?
4x+5
16x2 + 40x + 25
= (4x + 5) (4x + 5)
Why do you need Euclid's division algorithm in place of prime factorization?
You can use either, so technically you don't "need" one or the other.
HOWEVER, for large numbers, Euclid's division algorithm is much faster... INCREDIBLY faster. It gets you the result almost immediately, whereas looking for prime factors of large numbers can take you a long, long time.
Five identical prime factors : 32, 96. Four identical prime factors : 16, 48, 80, as well as 81. Three identical prime factors : 8, 24, 40, 56, 72, 88, as well as 27, 54. Two identical prime factors : All multiples of 4 not yet listed (4, 12, 20...), all multiples of 9 not yet listed (9, 18, 36...), as well as 25, 50, 75, 100, and 49 and 98. Your teacher forgot "six identical prime factors" : 64.
What does the Hillary Factor mean Does that mean a phenomenon you are a foreigner?
Any "factor" used in this fashion relates to popular culture. In the 1920's, a popular culture phrase was "it factor". This phrase is about relating a person to popularity polling and it's effect on marketing.
Such phrases come up from time to time and usually are a measure of a famous figure's impact on commerce tied to that person's name. For instance, the basketball player Micheal Jordan's profitability was also tied to his market appeal. So the Jordan factor was discussed some years back.
It all has to do with popular culture and market value in relation to a particular person.
If you mean the math factor than it would be and numbers that you are multipling to get a product
What factors would you examine and how would you compare them?
I would examine the prime factors and I would put them side by side.
What number is prime and composite?
A composite number has more than 2 factors.
A prime number has only has 2 factors which are itself and one.
Note that 1 is neither a composite number or a prime number because it has only one factor.
Accept a number and print all the factors?
In general it is not possible.
Modern data encryption depends on the fact that there are numbers that are products of two very large primes: primes so large that even very powerful computers are not be able to factorise the numbers in a sensible amount of time.
How is 245 the least common multiple of 5 7 and 11?
Sorry, but 245 is NOT the LCM of 5, 7 and 11! The Least Common Multiple (LCM) of (5,7,11) is 385.
What is the greatest common factor of 40 and 21?
The GCF of 21 and 40 is 1,
One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 21 are 1, 3, 7, and 21.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The only common factor is 1.
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together.
The prime factors of 21 are 3 and 7.
The prime factors of 40 are 2, 2, 2, and 5
Therefore, the GCF is 1.
