Find two numbers that have 2,3 and 5 as factors. What other factors do the two have in common?
30, 60
What are the factors of these numbers?
Two numbers that have 2,3,and 5 as factors. What other factors do the two numbers have in common?
To find two numbers that have 2, 3, and 5 as factors, we can start by listing the multiples of those numbers until we find two common multiples:
The multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
The multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
From these lists, we observe that the common multiples of 2, 3, and 5 are 6, 12, and 30. So, any two numbers that have these factors will be suitable for the answer.
For example, let's choose 6 and 30. Now, we need to find the factors that 6 and 30 have in common. To do this, we can find the prime factorization of both numbers and compare:
Prime factorization of 6: 2 * 3
Prime factorization of 30: 2 * 3 * 5
Looking at their prime factorizations, we see that the common factors of 6 and 30 are 2 and 3. Therefore, the two numbers that have factors 2, 3, and 5 in common are 6 and 30, and their common factors are 2 and 3.