What is the definition of factors?
In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.
Properties of Factors
- Every factor of a number is an exact divisor of that number, example 1, 3, 11, 33 are exact divisors of 33 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 are exact divisors of 48.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 33 and 48 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 33 and also of 48.
Steps to find Factors of 33 and 48
- Step 1. Find all the numbers that would divide 33 and 48 without leaving any remainder. Starting with the number 1 upto 16 (half of 33) and 1 upto 24 (half of 48). The number 1 and the number itself are always factors of the given number.
33 ÷ 1 : Remainder = 0
48 ÷ 1 : Remainder = 0
33 ÷ 3 : Remainder = 0
48 ÷ 2 : Remainder = 0
33 ÷ 11 : Remainder = 0
48 ÷ 3 : Remainder = 0
33 ÷ 33 : Remainder = 0
48 ÷ 4 : Remainder = 0
Hence, Factors of
33 are 1, 3, 11, and 33
And, Factors of
48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
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(33, 48) = ( 33 * 48 ) / LCM(33, 48) = 3.
What is the GCF of 33 and 48?GCF of 33 and 48 is 3.
Ram has 33 cans of Pepsi and 48 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 33 and 48. Hence GCF of 33 and 48 is 3. So the number of tables that can be arranged is 3.
Rubel is creating individual servings of starters for her birthday party. He has 33 pizzas and 48 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 33 and 48. Thus GCF of 33 and 48 is 3.
Ariel is making ready to eat meals to share with friends. She has 33 bottles of water and 48 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 33 and 48. So the GCF of 33 and 48 is 3.
Mary has 33 blue buttons and 48 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 33 and 48. Hence, the GCF of 33 and 48 or the greatest arrangement is 3.
Kamal is making identical balloon arrangements for a party. He has 33 maroon balloons, and 48 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 33 and 48. So the GCF of 33 and 48 is 3.
Kunal is making baskets full of nuts and dried fruits. He has 33 bags of nuts and 48 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 33 and 48. So the GCF of 33 and 48 is 3.
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 33 bus tickets and 48 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 33 and 48. Hence, GCF of 33 and 48 is 3.