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 number is a factor of zero (0), since 147 x 0 = 0 and 210 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, 3, 7, 21, 49, 147 are exact divisors of 147 and 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 are exact divisors of 210.
- Factors of 147 are 1, 3, 7, 21, 49, 147. Each factor divides 147 without leaving a remainder.
Simlarly, factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210. Each factor divides 210 without leaving a remainder.
Steps to find Factors of 147 and 210
- Step 1. Find all the numbers that would divide 147 and 210 without leaving any remainder. Starting with the number 1 upto 73 (half of 147) and 1 upto 105 (half of 210). The number 1 and the number itself are always factors of the given number.
147 ÷ 1 : Remainder = 0
210 ÷ 1 : Remainder = 0
147 ÷ 3 : Remainder = 0
210 ÷ 2 : Remainder = 0
147 ÷ 7 : Remainder = 0
210 ÷ 3 : Remainder = 0
147 ÷ 21 : Remainder = 0
210 ÷ 5 : Remainder = 0
147 ÷ 49 : Remainder = 0
210 ÷ 6 : Remainder = 0
147 ÷ 147 : Remainder = 0
210 ÷ 7 : Remainder = 0
210 ÷ 105 : Remainder = 0
210 ÷ 210 : Remainder = 0
Hence, Factors of
147 are 1, 3, 7, 21, 49, and 147
And, Factors of
210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210
Examples of GCF
Sammy baked 147 chocolate cookies and 210 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 147 and 210.
GCF of 147 and 210 is 21.
A class has 147 boys and 210 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 147 and 210. Hence, GCF of 147 and 210 is 21.
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.
Ram has 147 cans of Pepsi and 210 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 147 and 210. Hence GCF of 147 and 210 is 21. So the number of tables that can be arranged is 21.
Ariel is making ready to eat meals to share with friends. She has 147 bottles of water and 210 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 147 and 210. So the GCF of 147 and 210 is 21.
Mary has 147 blue buttons and 210 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 147 and 210. Hence, the GCF of 147 and 210 or the greatest arrangement is 21.
Kamal is making identical balloon arrangements for a party. He has 147 maroon balloons, and 210 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 147 and 210. So the GCF of 147 and 210 is 21.
Kunal is making baskets full of nuts and dried fruits. He has 147 bags of nuts and 210 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 147 and 210. So the GCF of 147 and 210 is 21.
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 147 bus tickets and 210 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 147 and 210. Hence, GCF of 147 and 210 is 21.