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
- Every factor of a number is an exact divisor of that number, example 1, 37 are exact divisors of 37 and 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 are exact divisors of 72.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 37 and 72 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 37 and also of 72.
Steps to find Factors of 37 and 72
- Step 1. Find all the numbers that would divide 37 and 72 without leaving any remainder. Starting with the number 1 upto 18 (half of 37) and 1 upto 36 (half of 72). The number 1 and the number itself are always factors of the given number.
37 ÷ 1 : Remainder = 0
72 ÷ 1 : Remainder = 0
37 ÷ 37 : Remainder = 0
72 ÷ 2 : Remainder = 0
Hence, Factors of
37 are 1 and 37
And, Factors of
72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72
Examples of GCF
Sammy baked 37 chocolate cookies and 72 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 37 and 72.
GCF of 37 and 72 is 1.
A class has 37 boys and 72 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 37 and 72. Hence, GCF of 37 and 72 is 1.
What is the relation between LCM and GCF (Greatest Common Factor)?GCF and LCM of two numbers can be related as GCF(37, 72) = ( 37 * 72 ) / LCM(37, 72) = 1.
What is the GCF of 37 and 72?GCF of 37 and 72 is 1.
Ram has 37 cans of Pepsi and 72 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 37 and 72. Hence GCF of 37 and 72 is 1. So the number of tables that can be arranged is 1.
Mary has 37 blue buttons and 72 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 37 and 72. Hence, the GCF of 37 and 72 or the greatest arrangement is 1.
Kamal is making identical balloon arrangements for a party. He has 37 maroon balloons, and 72 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 37 and 72. So the GCF of 37 and 72 is 1.
Kunal is making baskets full of nuts and dried fruits. He has 37 bags of nuts and 72 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 37 and 72. So the GCF of 37 and 72 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 37 bus tickets and 72 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 37 and 72. Hence, GCF of 37 and 72 is 1.