PRIME, composite, GCF, and LCM
Prime Numbers
*Are numbers that cannot be divided evenly by any other number than the number 1. Examples: 2, 3, 5, 7, 11, & 13 are all Prime numbers.
Composite Numbers
*Are numbers that CAN be evenly divided by another number other than the number 1. Examples: 4, 6, 8, & 9 are all Composite numbers.
Divisibility Rules are shortcuts to find out if the number can be divided evenly by another number without having to do the whole division problem each time. If you learn and use these rules you will save yourself time in all areas of math.
*Are numbers that cannot be divided evenly by any other number than the number 1. Examples: 2, 3, 5, 7, 11, & 13 are all Prime numbers.
Composite Numbers
*Are numbers that CAN be evenly divided by another number other than the number 1. Examples: 4, 6, 8, & 9 are all Composite numbers.
Divisibility Rules are shortcuts to find out if the number can be divided evenly by another number without having to do the whole division problem each time. If you learn and use these rules you will save yourself time in all areas of math.
Greatest Common Factor
*Code Name - GCF
* The GREATEST (biggest) factor that is shared by a set of numbers.
* We find this by listing the factors of each number in the set and then comparing.
*In class, we have learned the Ladder Method. Here is a video explaining this method.
*Code Name - GCF
* The GREATEST (biggest) factor that is shared by a set of numbers.
* We find this by listing the factors of each number in the set and then comparing.
*In class, we have learned the Ladder Method. Here is a video explaining this method.
*Another method is to use the "Factor Tree" and then list each of the factors. After listing, compare what is in common. Then multiply the factors that are in common with each of the numbers in the set. (Tip: Only the factors that EVERY number in the set has in common gets multiplied). This result is the GCF!
Example: 10 is the GCF of 20 and 35 because 10 is the largest factor that is shared by 20 and 35.
Example: 10 is the GCF of 20 and 35 because 10 is the largest factor that is shared by 20 and 35.
Least Common Multiple
+Code Name: LCM
+The Least Common Multiple is the SMALLEST Multiple of a set of numbers.
+ A Multiple is a number that contains another number an integral number of times without a remainder: 12 is a multiple of 3.
+ A method of finding the LCM is to list the multiples of each number in the set and compare. The largest multiple that is shared by EVERY number in the set is the LCM.
+Code Name: LCM
+The Least Common Multiple is the SMALLEST Multiple of a set of numbers.
+ A Multiple is a number that contains another number an integral number of times without a remainder: 12 is a multiple of 3.
+ A method of finding the LCM is to list the multiples of each number in the set and compare. The largest multiple that is shared by EVERY number in the set is the LCM.
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