How can we define factors?
In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.
Properties of Factors
- Every number is a factor of zero (0), since 11111 x 0 = 0 and 111111 x 0 = 0.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Every factor of a number is an exact divisor of that number, example 1, 41, 271, 11111 are exact divisors of 11111 and 1, 3, 7, 11, 13, 21, 33, 37, 39, 77, 91, 111, 143, 231, 259, 273, 407, 429, 481, 777, 1001, 1221, 1443, 2849, 3003, 3367, 5291, 8547, 10101, 15873, 37037, 111111 are exact divisors of 111111.
- Factors of 11111 are 1, 41, 271, 11111. Each factor divides 11111 without leaving a remainder.
Simlarly, factors of 111111 are 1, 3, 7, 11, 13, 21, 33, 37, 39, 77, 91, 111, 143, 231, 259, 273, 407, 429, 481, 777, 1001, 1221, 1443, 2849, 3003, 3367, 5291, 8547, 10101, 15873, 37037, 111111. Each factor divides 111111 without leaving a remainder.
Steps to find Factors of 11111 and 111111
- Step 1. Find all the numbers that would divide 11111 and 111111 without leaving any remainder. Starting with the number 1 upto 5555 (half of 11111) and 1 upto 55555 (half of 111111). The number 1 and the number itself are always factors of the given number.
11111 ÷ 1 : Remainder = 0
111111 ÷ 1 : Remainder = 0
11111 ÷ 41 : Remainder = 0
111111 ÷ 3 : Remainder = 0
11111 ÷ 271 : Remainder = 0
111111 ÷ 7 : Remainder = 0
11111 ÷ 11111 : Remainder = 0
111111 ÷ 11 : Remainder = 0
111111 ÷ 13 : Remainder = 0
111111 ÷ 21 : Remainder = 0
111111 ÷ 33 : Remainder = 0
111111 ÷ 37 : Remainder = 0
111111 ÷ 39 : Remainder = 0
111111 ÷ 77 : Remainder = 0
111111 ÷ 91 : Remainder = 0
111111 ÷ 111 : Remainder = 0
111111 ÷ 143 : Remainder = 0
111111 ÷ 231 : Remainder = 0
111111 ÷ 259 : Remainder = 0
111111 ÷ 273 : Remainder = 0
111111 ÷ 407 : Remainder = 0
111111 ÷ 429 : Remainder = 0
111111 ÷ 481 : Remainder = 0
111111 ÷ 777 : Remainder = 0
111111 ÷ 1001 : Remainder = 0
111111 ÷ 1221 : Remainder = 0
111111 ÷ 1443 : Remainder = 0
111111 ÷ 2849 : Remainder = 0
111111 ÷ 3003 : Remainder = 0
111111 ÷ 3367 : Remainder = 0
111111 ÷ 5291 : Remainder = 0
111111 ÷ 8547 : Remainder = 0
111111 ÷ 10101 : Remainder = 0
111111 ÷ 15873 : Remainder = 0
111111 ÷ 37037 : Remainder = 0
111111 ÷ 111111 : Remainder = 0
Hence, Factors of
11111 are 1, 41, 271, and 11111
And, Factors of
111111 are 1, 3, 7, 11, 13, 21, 33, 37, 39, 77, 91, 111, 143, 231, 259, 273, 407, 429, 481, 777, 1001, 1221, 1443, 2849, 3003, 3367, 5291, 8547, 10101, 15873, 37037, and 111111
Examples of GCF
Sammy baked 11111 chocolate cookies and 111111 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 11111 and 111111.
GCF of 11111 and 111111 is 1.
A class has 11111 boys and 111111 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?To find the greatest number of students that could be in each row, we need to find the GCF of 11111 and 111111. Hence, GCF of 11111 and 111111 is 1.
What is the relation between LCM and GCF (Greatest Common Factor)?GCF and LCM of two numbers can be related as GCF(11111, 111111) = ( 11111 * 111111 ) / LCM(11111, 111111) = 1.
What is the GCF of 11111 and 111111?GCF of 11111 and 111111 is 1.
Ram has 11111 cans of Pepsi and 111111 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn't want to have any can left over. What is the greatest number of tables that Ram can arrange?To find the greatest number of tables that Ram can stock we need to find the GCF of 11111 and 111111. Hence GCF of 11111 and 111111 is 1. So the number of tables that can be arranged is 1.
Rubel is creating individual servings of starters for her birthday party. He has 11111 pizzas and 111111 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?The greatest number of servings Rubel can create would be equal to the GCF of 11111 and 111111. Thus GCF of 11111 and 111111 is 1.
Ariel is making ready to eat meals to share with friends. She has 11111 bottles of water and 111111 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?The greatest number of boxes Ariel can make would be equal to GCF of 11111 and 111111. So the GCF of 11111 and 111111 is 1.
Kamal is making identical balloon arrangements for a party. He has 11111 maroon balloons, and 111111 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 11111 and 111111. So the GCF of 11111 and 111111 is 1.
To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 11111 bus tickets and 111111 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?To make the greatest number of envelopes Abir needs to find out the GCF of 11111 and 111111. Hence, GCF of 11111 and 111111 is 1.