You can find the prime factors of all three numbers, combine (multiply) those numbers and remove redundant factors. So if your numbers are 4, 6 and 8, then those factors are (2*2), (3*2), and (2*2*2) respectively. The GCF is 24 or (2*2*2*3). This is because 24 can be written as a multiple of all three numbers because 24 can be written as a multiple of 2 4 and 6. (2*2*3*(2)) (2*3*(4)) and (2*2*(6)). If this is still unclear you can check the Wikipedia Article on LCM.
Well, isn't that a happy little math problem! To find three numbers that multiply to 720, we can start by breaking down 720 into its prime factors: 2 x 2 x 2 x 3 x 3 x 5. Then, we can group these factors into three numbers, like this: 2 x 2 x 180, which equals 720. So, the three numbers are 2, 2, and 180.
The only two prime factors of 18 are: 2, 3
Any multiples of 30 have these three factors. Multiples of 30.
2 and 3 are the prime factors of 36. Of the factors of 36, 2 and 3 are the only prime numbers.
Prime numbers have two factors. 2, 3 and 5 are prime numbers.
Of the numbers from 1 to 30, only 30 has all three of those numbers as factors.
Three numbers.
Using prime factorization, there are 2 three digit numbers with 9 factors: 512 and 768. There are no three digit numbers with 10 or more prime factors. 512=2^9 and 768=3*2^8
The way to be sure you have one of these is to take any three distinct prime numbers and multiply them. Those three prime numbers are then the only factors the product can have. An example is the number 30, which has factors of 2, 3 and 5.
Calculate the least common multiple of the three numbers. Any multiple of that has all those numbers as factors.
You can find the prime factors of all three numbers, combine (multiply) those numbers and remove redundant factors. So if your numbers are 4, 6 and 8, then those factors are (2*2), (3*2), and (2*2*2) respectively. The GCF is 24 or (2*2*2*3). This is because 24 can be written as a multiple of all three numbers because 24 can be written as a multiple of 2 4 and 6. (2*2*3*(2)) (2*3*(4)) and (2*2*(6)). If this is still unclear you can check the Wikipedia Article on LCM.
Factors are numbers that multiply to create products. 2 x 3 = 6. Two and three are factors of six. Six is the product of two and three.
Squares of prime numbers have exactly three factors.
Numbers with exactly three factors are squares of prime numbers.
The only two prime factors of 18 are: 2, 3
Composite numbers have three or more factors.