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. 2240 and 3360 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 2240 and also of 3360.
- Every number is a factor of zero (0), since 2240 x 0 = 0 and 3360 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, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240 are exact divisors of 2240 and 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360 are exact divisors of 3360.
- Factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240. Each factor divides 2240 without leaving a remainder.
Simlarly, factors of 3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360. Each factor divides 3360 without leaving a remainder. - Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240 are all less than or equal to 2240 and 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, 3360 are all less than or equal to 3360.
Steps to find Factors of 2240 and 3360
- Step 1. Find all the numbers that would divide 2240 and 3360 without leaving any remainder. Starting with the number 1 upto 1120 (half of 2240) and 1 upto 1680 (half of 3360). The number 1 and the number itself are always factors of the given number.
2240 ÷ 1 : Remainder = 0
3360 ÷ 1 : Remainder = 0
2240 ÷ 2 : Remainder = 0
3360 ÷ 2 : Remainder = 0
2240 ÷ 4 : Remainder = 0
3360 ÷ 3 : Remainder = 0
2240 ÷ 5 : Remainder = 0
3360 ÷ 4 : Remainder = 0
2240 ÷ 7 : Remainder = 0
3360 ÷ 5 : Remainder = 0
2240 ÷ 8 : Remainder = 0
3360 ÷ 6 : Remainder = 0
2240 ÷ 10 : Remainder = 0
3360 ÷ 7 : Remainder = 0
2240 ÷ 14 : Remainder = 0
3360 ÷ 8 : Remainder = 0
2240 ÷ 16 : Remainder = 0
3360 ÷ 10 : Remainder = 0
2240 ÷ 20 : Remainder = 0
3360 ÷ 12 : Remainder = 0
2240 ÷ 28 : Remainder = 0
3360 ÷ 14 : Remainder = 0
2240 ÷ 32 : Remainder = 0
3360 ÷ 15 : Remainder = 0
2240 ÷ 35 : Remainder = 0
3360 ÷ 16 : Remainder = 0
2240 ÷ 40 : Remainder = 0
3360 ÷ 20 : Remainder = 0
2240 ÷ 56 : Remainder = 0
3360 ÷ 21 : Remainder = 0
2240 ÷ 64 : Remainder = 0
3360 ÷ 24 : Remainder = 0
2240 ÷ 70 : Remainder = 0
3360 ÷ 28 : Remainder = 0
2240 ÷ 80 : Remainder = 0
3360 ÷ 30 : Remainder = 0
2240 ÷ 112 : Remainder = 0
3360 ÷ 32 : Remainder = 0
2240 ÷ 140 : Remainder = 0
3360 ÷ 35 : Remainder = 0
2240 ÷ 160 : Remainder = 0
3360 ÷ 40 : Remainder = 0
2240 ÷ 224 : Remainder = 0
3360 ÷ 42 : Remainder = 0
2240 ÷ 280 : Remainder = 0
3360 ÷ 48 : Remainder = 0
2240 ÷ 320 : Remainder = 0
3360 ÷ 56 : Remainder = 0
2240 ÷ 448 : Remainder = 0
3360 ÷ 60 : Remainder = 0
2240 ÷ 560 : Remainder = 0
3360 ÷ 70 : Remainder = 0
2240 ÷ 1120 : Remainder = 0
3360 ÷ 80 : Remainder = 0
2240 ÷ 2240 : Remainder = 0
3360 ÷ 84 : Remainder = 0
3360 ÷ 96 : Remainder = 0
3360 ÷ 105 : Remainder = 0
3360 ÷ 112 : Remainder = 0
3360 ÷ 120 : Remainder = 0
3360 ÷ 140 : Remainder = 0
3360 ÷ 160 : Remainder = 0
3360 ÷ 168 : Remainder = 0
3360 ÷ 210 : Remainder = 0
3360 ÷ 224 : Remainder = 0
3360 ÷ 240 : Remainder = 0
3360 ÷ 280 : Remainder = 0
3360 ÷ 336 : Remainder = 0
3360 ÷ 420 : Remainder = 0
3360 ÷ 480 : Remainder = 0
3360 ÷ 560 : Remainder = 0
3360 ÷ 672 : Remainder = 0
3360 ÷ 840 : Remainder = 0
3360 ÷ 1120 : Remainder = 0
3360 ÷ 1680 : Remainder = 0
3360 ÷ 3360 : Remainder = 0
Hence, Factors of
2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, and 2240
And, Factors of
3360 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680, and 3360
Examples of GCF
Sammy baked 2240 chocolate cookies and 3360 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 2240 and 3360.
GCF of 2240 and 3360 is 1120.
A class has 2240 boys and 3360 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 2240 and 3360. Hence, GCF of 2240 and 3360 is 1120.
What is the difference between GCF and LCM?Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.
What is the relation between LCM and GCF (Greatest Common Factor)?GCF and LCM of two numbers can be related as GCF(2240, 3360) = ( 2240 * 3360 ) / LCM(2240, 3360) = 1120.
What is the GCF of 2240 and 3360?GCF of 2240 and 3360 is 1120.
Ariel is making ready to eat meals to share with friends. She has 2240 bottles of water and 3360 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 2240 and 3360. So the GCF of 2240 and 3360 is 1120.
Mary has 2240 blue buttons and 3360 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 2240 and 3360. Hence, the GCF of 2240 and 3360 or the greatest arrangement is 1120.
Kamal is making identical balloon arrangements for a party. He has 2240 maroon balloons, and 3360 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 2240 and 3360. So the GCF of 2240 and 3360 is 1120.
Kunal is making baskets full of nuts and dried fruits. He has 2240 bags of nuts and 3360 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 2240 and 3360. So the GCF of 2240 and 3360 is 1120.
A class has 2240 boys and 3360 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 2240 and 3360. Hence, GCF of 2240 and 3360 is 1120.