calculate the number of distinct whole number factors of each number...... factors of 18,multiples of 3=
To calculate the number of distinct whole number factors of a given number, you need to find all the numbers that evenly divide it.
For the number 18, we'll list all the factors:
1 x 18 = 18
2 x 9 = 18
3 x 6 = 18
So, the distinct whole number factors of 18 are: 1, 2, 3, 6, 9, and 18. There are a total of 6 distinct factors.
Now let's find the multiples of 3 in the set of whole numbers. Multiply 3 by each whole number:
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
3 x 5 = 15
3 x 6 = 18
...
From this list, the multiples of 3 that are factors of 18 are: 3, 6, 9, 12, 15, and 18. There are a total of 6 multiples of 3.
So, the factors of 18 and multiples of 3 both have 6 numbers in common.