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, 13, 29, 377, 841, 10933 are exact divisors of 10933 and 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832 are exact divisors of 832.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 10933 and 832 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 10933 and also of 832.
Steps to find Factors of 10933 and 832
- Step 1. Find all the numbers that would divide 10933 and 832 without leaving any remainder. Starting with the number 1 upto 5466 (half of 10933) and 1 upto 416 (half of 832). The number 1 and the number itself are always factors of the given number.
10933 ÷ 1 : Remainder = 0
832 ÷ 1 : Remainder = 0
10933 ÷ 13 : Remainder = 0
832 ÷ 2 : Remainder = 0
10933 ÷ 29 : Remainder = 0
832 ÷ 4 : Remainder = 0
10933 ÷ 377 : Remainder = 0
832 ÷ 8 : Remainder = 0
10933 ÷ 841 : Remainder = 0
832 ÷ 13 : Remainder = 0
10933 ÷ 10933 : Remainder = 0
832 ÷ 16 : Remainder = 0
832 ÷ 104 : Remainder = 0
832 ÷ 208 : Remainder = 0
832 ÷ 416 : Remainder = 0
832 ÷ 832 : Remainder = 0
Hence, Factors of
10933 are 1, 13, 29, 377, 841, and 10933
And, Factors of
832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, and 832
Examples of GCF
Sammy baked 10933 chocolate cookies and 832 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 10933 and 832.
GCF of 10933 and 832 is 13.
A class has 10933 boys and 832 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 10933 and 832. Hence, GCF of 10933 and 832 is 13.
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(10933, 832) = ( 10933 * 832 ) / LCM(10933, 832) = 13.
What is the GCF of 10933 and 832?GCF of 10933 and 832 is 13.
Ariel is making ready to eat meals to share with friends. She has 10933 bottles of water and 832 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 10933 and 832. So the GCF of 10933 and 832 is 13.
Mary has 10933 blue buttons and 832 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 10933 and 832. Hence, the GCF of 10933 and 832 or the greatest arrangement is 13.
Kamal is making identical balloon arrangements for a party. He has 10933 maroon balloons, and 832 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 10933 and 832. So the GCF of 10933 and 832 is 13.
Kunal is making baskets full of nuts and dried fruits. He has 10933 bags of nuts and 832 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 10933 and 832. So the GCF of 10933 and 832 is 13.