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 number is a factor of zero (0), since 3176523 x 0 = 0 and 153 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, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 2401, 3087, 7203, 9261, 16807, 21609, 50421, 64827, 117649, 151263, 352947, 453789, 1058841, 3176523 are exact divisors of 3176523 and 1, 3, 9, 17, 51, 153 are exact divisors of 153.
- Factors of 3176523 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 2401, 3087, 7203, 9261, 16807, 21609, 50421, 64827, 117649, 151263, 352947, 453789, 1058841, 3176523. Each factor divides 3176523 without leaving a remainder.
Simlarly, factors of 153 are 1, 3, 9, 17, 51, 153. Each factor divides 153 without leaving a remainder.
Steps to find Factors of 3176523 and 153
- Step 1. Find all the numbers that would divide 3176523 and 153 without leaving any remainder. Starting with the number 1 upto 1588261 (half of 3176523) and 1 upto 76 (half of 153). The number 1 and the number itself are always factors of the given number.
3176523 ÷ 1 : Remainder = 0
153 ÷ 1 : Remainder = 0
3176523 ÷ 3 : Remainder = 0
153 ÷ 3 : Remainder = 0
3176523 ÷ 7 : Remainder = 0
153 ÷ 9 : Remainder = 0
3176523 ÷ 9 : Remainder = 0
153 ÷ 17 : Remainder = 0
3176523 ÷ 21 : Remainder = 0
153 ÷ 51 : Remainder = 0
3176523 ÷ 27 : Remainder = 0
153 ÷ 153 : Remainder = 0
3176523 ÷ 49 : Remainder = 0
3176523 ÷ 63 : Remainder = 0
3176523 ÷ 147 : Remainder = 0
3176523 ÷ 189 : Remainder = 0
3176523 ÷ 343 : Remainder = 0
3176523 ÷ 441 : Remainder = 0
3176523 ÷ 1029 : Remainder = 0
3176523 ÷ 1323 : Remainder = 0
3176523 ÷ 2401 : Remainder = 0
3176523 ÷ 3087 : Remainder = 0
3176523 ÷ 7203 : Remainder = 0
3176523 ÷ 9261 : Remainder = 0
3176523 ÷ 16807 : Remainder = 0
3176523 ÷ 21609 : Remainder = 0
3176523 ÷ 50421 : Remainder = 0
3176523 ÷ 64827 : Remainder = 0
3176523 ÷ 117649 : Remainder = 0
3176523 ÷ 151263 : Remainder = 0
3176523 ÷ 352947 : Remainder = 0
3176523 ÷ 453789 : Remainder = 0
3176523 ÷ 1058841 : Remainder = 0
3176523 ÷ 3176523 : Remainder = 0
Hence, Factors of
3176523 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 2401, 3087, 7203, 9261, 16807, 21609, 50421, 64827, 117649, 151263, 352947, 453789, 1058841, and 3176523
And, Factors of
153 are 1, 3, 9, 17, 51, and 153
Examples of GCF
Sammy baked 3176523 chocolate cookies and 153 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 3176523 and 153.
GCF of 3176523 and 153 is 9.
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(3176523, 153) = ( 3176523 * 153 ) / LCM(3176523, 153) = 9.
What is the GCF of 3176523 and 153?GCF of 3176523 and 153 is 9.
Ram has 3176523 cans of Pepsi and 153 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 3176523 and 153. Hence GCF of 3176523 and 153 is 9. So the number of tables that can be arranged is 9.
Rubel is creating individual servings of starters for her birthday party. He has 3176523 pizzas and 153 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 3176523 and 153. Thus GCF of 3176523 and 153 is 9.
Ariel is making ready to eat meals to share with friends. She has 3176523 bottles of water and 153 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 3176523 and 153. So the GCF of 3176523 and 153 is 9.
Mary has 3176523 blue buttons and 153 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 3176523 and 153. Hence, the GCF of 3176523 and 153 or the greatest arrangement is 9.
Kamal is making identical balloon arrangements for a party. He has 3176523 maroon balloons, and 153 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 3176523 and 153. So the GCF of 3176523 and 153 is 9.