construct a number that has factors of 5,4 and 6 but not 15
To construct a number that has factors of 5, 4, and 6 but not 15, we need to find the common factors between 5, 4, and 6, and then exclude the factors that are common with 15.
Let's first find the factors of 5, 4, and 6:
Factors of 5: 1, 5
Factors of 4: 1, 2, 4
Factors of 6: 1, 2, 3, 6
Now, let's identify the numbers that are common factors of 5, 4, and 6:
The only common factors of 5, 4, and 6 are: 1 and 2.
To exclude the factors common with 15, we need to remove the factors of 5 (which includes 15) from our list.
Therefore, to construct a number that has factors of 5, 4, and 6, but not 15, we can multiply the remaining factors:
Number = 2 * 4 = 8
So, the number 8 has factors of 5, 4, and 6 but not 15.