How do you explain factors?
In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.
Properties of Factors
- Each number is a factor of itself. Eg. 182 and 196 are factors of themselves respectively.
- 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, 7, 13, 14, 26, 91, 182 are exact divisors of 182 and 1, 2, 4, 7, 14, 28, 49, 98, 196 are exact divisors of 196.
- 1 is a factor of every number. Eg. 1 is a factor of 182 and also of 196.
- Every number is a factor of zero (0), since 182 x 0 = 0 and 196 x 0 = 0.
Steps to find Factors of 182 and 196
- Step 1. Find all the numbers that would divide 182 and 196 without leaving any remainder. Starting with the number 1 upto 91 (half of 182) and 1 upto 98 (half of 196). The number 1 and the number itself are always factors of the given number.
182 ÷ 1 : Remainder = 0
196 ÷ 1 : Remainder = 0
182 ÷ 2 : Remainder = 0
196 ÷ 2 : Remainder = 0
182 ÷ 7 : Remainder = 0
196 ÷ 4 : Remainder = 0
182 ÷ 13 : Remainder = 0
196 ÷ 7 : Remainder = 0
182 ÷ 14 : Remainder = 0
196 ÷ 14 : Remainder = 0
182 ÷ 26 : Remainder = 0
196 ÷ 28 : Remainder = 0
182 ÷ 91 : Remainder = 0
196 ÷ 49 : Remainder = 0
182 ÷ 182 : Remainder = 0
196 ÷ 98 : Remainder = 0
196 ÷ 196 : Remainder = 0
Hence, Factors of
182 are 1, 2, 7, 13, 14, 26, 91, and 182
And, Factors of
196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196
Examples of GCF
A class has 182 boys and 196 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 182 and 196. Hence, GCF of 182 and 196 is 14.
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(182, 196) = ( 182 * 196 ) / LCM(182, 196) = 14.
What is the GCF of 182 and 196?GCF of 182 and 196 is 14.
Ram has 182 cans of Pepsi and 196 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 182 and 196. Hence GCF of 182 and 196 is 14. So the number of tables that can be arranged is 14.
Rubel is creating individual servings of starters for her birthday party. He has 182 pizzas and 196 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 182 and 196. Thus GCF of 182 and 196 is 14.
Ariel is making ready to eat meals to share with friends. She has 182 bottles of water and 196 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 182 and 196. So the GCF of 182 and 196 is 14.
Mary has 182 blue buttons and 196 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 182 and 196. Hence, the GCF of 182 and 196 or the greatest arrangement is 14.
Kunal is making baskets full of nuts and dried fruits. He has 182 bags of nuts and 196 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 182 and 196. So the GCF of 182 and 196 is 14.