What are factors?
In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.
Properties of Factors
- Each number is a factor of itself. Eg. 11040 and 120 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 11040 and also of 120.
- Every number is a factor of zero (0), since 11040 x 0 = 0 and 120 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, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, 11040 are exact divisors of 11040 and 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 are exact divisors of 120.
- Factors of 11040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, 11040. Each factor divides 11040 without leaving a remainder.
Simlarly, factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Each factor divides 120 without leaving a remainder. - Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, 11040 are all less than or equal to 11040 and 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 are all less than or equal to 120.
Steps to find Factors of 11040 and 120
- Step 1. Find all the numbers that would divide 11040 and 120 without leaving any remainder. Starting with the number 1 upto 5520 (half of 11040) and 1 upto 60 (half of 120). The number 1 and the number itself are always factors of the given number.
11040 ÷ 1 : Remainder = 0
120 ÷ 1 : Remainder = 0
11040 ÷ 2 : Remainder = 0
120 ÷ 2 : Remainder = 0
11040 ÷ 3 : Remainder = 0
120 ÷ 3 : Remainder = 0
11040 ÷ 4 : Remainder = 0
120 ÷ 4 : Remainder = 0
11040 ÷ 5 : Remainder = 0
120 ÷ 5 : Remainder = 0
11040 ÷ 6 : Remainder = 0
120 ÷ 6 : Remainder = 0
11040 ÷ 8 : Remainder = 0
120 ÷ 8 : Remainder = 0
11040 ÷ 10 : Remainder = 0
120 ÷ 10 : Remainder = 0
11040 ÷ 12 : Remainder = 0
120 ÷ 12 : Remainder = 0
11040 ÷ 15 : Remainder = 0
120 ÷ 15 : Remainder = 0
11040 ÷ 16 : Remainder = 0
120 ÷ 20 : Remainder = 0
11040 ÷ 20 : Remainder = 0
120 ÷ 24 : Remainder = 0
11040 ÷ 23 : Remainder = 0
120 ÷ 30 : Remainder = 0
11040 ÷ 24 : Remainder = 0
120 ÷ 40 : Remainder = 0
11040 ÷ 30 : Remainder = 0
120 ÷ 60 : Remainder = 0
11040 ÷ 32 : Remainder = 0
120 ÷ 120 : Remainder = 0
11040 ÷ 40 : Remainder = 0
11040 ÷ 46 : Remainder = 0
11040 ÷ 48 : Remainder = 0
11040 ÷ 60 : Remainder = 0
11040 ÷ 69 : Remainder = 0
11040 ÷ 80 : Remainder = 0
11040 ÷ 92 : Remainder = 0
11040 ÷ 96 : Remainder = 0
11040 ÷ 115 : Remainder = 0
11040 ÷ 120 : Remainder = 0
11040 ÷ 138 : Remainder = 0
11040 ÷ 160 : Remainder = 0
11040 ÷ 184 : Remainder = 0
11040 ÷ 230 : Remainder = 0
11040 ÷ 240 : Remainder = 0
11040 ÷ 276 : Remainder = 0
11040 ÷ 345 : Remainder = 0
11040 ÷ 368 : Remainder = 0
11040 ÷ 460 : Remainder = 0
11040 ÷ 480 : Remainder = 0
11040 ÷ 552 : Remainder = 0
11040 ÷ 690 : Remainder = 0
11040 ÷ 736 : Remainder = 0
11040 ÷ 920 : Remainder = 0
11040 ÷ 1104 : Remainder = 0
11040 ÷ 1380 : Remainder = 0
11040 ÷ 1840 : Remainder = 0
11040 ÷ 2208 : Remainder = 0
11040 ÷ 2760 : Remainder = 0
11040 ÷ 3680 : Remainder = 0
11040 ÷ 5520 : Remainder = 0
11040 ÷ 11040 : Remainder = 0
Hence, Factors of
11040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, and 11040
And, Factors of
120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120
Examples of GCF
What is the relation between LCM and GCF (Greatest Common Factor)?GCF and LCM of two numbers can be related as GCF(11040, 120) = ( 11040 * 120 ) / LCM(11040, 120) = 120.
What is the GCF of 11040 and 120?GCF of 11040 and 120 is 120.
Ram has 11040 cans of Pepsi and 120 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 11040 and 120. Hence GCF of 11040 and 120 is 120. So the number of tables that can be arranged is 120.
Rubel is creating individual servings of starters for her birthday party. He has 11040 pizzas and 120 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 11040 and 120. Thus GCF of 11040 and 120 is 120.
Ariel is making ready to eat meals to share with friends. She has 11040 bottles of water and 120 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 11040 and 120. So the GCF of 11040 and 120 is 120.
Mary has 11040 blue buttons and 120 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?Greatest possible way in which Mary can arrange them in groups would be GCF of 11040 and 120. Hence, the GCF of 11040 and 120 or the greatest arrangement is 120.
Kamal is making identical balloon arrangements for a party. He has 11040 maroon balloons, and 120 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 11040 and 120. So the GCF of 11040 and 120 is 120.
Kunal is making baskets full of nuts and dried fruits. He has 11040 bags of nuts and 120 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?the greatest number of baskets that Kunal can make would be equal to GCF of 11040 and 120. So the GCF of 11040 and 120 is 120.
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 11040 bus tickets and 120 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 11040 and 120. Hence, GCF of 11040 and 120 is 120.