6.PAR.6.2 GCF and LCM

• Numbers that you multiply together to make a product

• Products are answers to multiplication problems.

• 3 and 5 are factors of 15 because 3 x 5 =15

• 15 is the product of the FACTORS 3 and 5.

• The greatest shared factor between two numbers.

• You can use prime factorization as a strategy to find the GCF of 2 numbers.

• The GCF of two numbers will always be the smaller of the two numbers or less

• Whole numbers greater than 1 that only have two factors, 1 and itself

• Prime numbers are only divisible by 1 or itself

• Example: 2 is prime because the only two factors are 1 and 2, (1 x 2 = 2): 11 is prime number because the only two factors are 1 and 11 (1 x11=11).

• Can you list the first 10 prime numbers?

• Whole numbers greater than 1 that are not prime numbers.

• Composite numbers have more than 2 factors.

• 4 is a composite number because it's factors are 1, 2, and 4.

• ​To find the LCM you are looking for the smallest common skip number

• ​You typically look for the key words: same time

• ​Example: LCM of 8 and 5

• ​8: 8, 16, 24, 32, 40, 48

• ​5: 5, 10, 15, 20, 25, 30, 35, 40​

• ​LCM = 40

• Can be used to find the GCF and LCM of two numbers.

• Find all of the prime factors of a given number

• There is only one prime factorization of any number.

1. Divide the number by the first prime number possible.

2. Circle the prime number, and continue with the other factor.

3. Divide the new factor by a prime number.

4. Continue this process until the only numbers you have left are prime numbers.

It can be written as a product of primes: 3 x 5

Some text here about the topic of discussion

Distributive Property:  Multiplying a number by a sum or difference is the same as multiplying by each number in the sum or difference and then adding or subtracting. (Rainbow Connection!)

Example:  6(2+4)= 6(2) + 6(4)     8(5-3) = 8(5)-8(3)