Can you help me solve the problem?
Use number bank to solve. Number Bank is 42, 14, 16, 24, 84.
1. I have exactly 3 factors in common with the number 12.
2. I have exactly 2 factors in common with the number 12.
Factors of 12:
1, 12, 2, 6, 3, 4
Factors of 16:
1, 2, 4 (and others)
Factors of 14:
1, 2 (and others)
I still don't understand which one have exactly 3 factors in common with the number 12. Can you please explain?
16 has exactly 3 factors in common with 12. Factors of both 12 and 16 are: 1, 2, and 4.
Of course, I can help you solve the problem.
To find the number that has exactly 3 factors in common with the number 12, we need to list the factors of both numbers and find the common ones.
Factors of 12: 1, 2, 3, 4, 6, 12
Now let's check the factors of each number from the number bank and see which ones are common with the factors of 12.
For the number 42, the factors are: 1, 2, 3, 6, 7, 14, 21, 42
Common factors with 12: 1, 2, 3, 6
For the number 14, the factors are: 1, 2, 7, 14
Common factors with 12: 1, 2
For the number 16, the factors are: 1, 2, 4, 8, 16
Common factors with 12: 1, 2
For the number 24, the factors are: 1, 2, 3, 4, 6, 8, 12, 24
Common factors with 12: 1, 2, 3, 4, 6
For the number 84, the factors are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Common factors with 12: 1, 2, 3, 6
Based on the analysis, it is clear that the number 24 has exactly 3 factors in common with the number 12.
Now let's move on to the second question. To find the number that has exactly 2 factors in common with the number 12, we can follow the same process.
For the number 42, the common factors with 12 are: 1, 2, 3, 6, 7
For the number 14, the common factors with 12 are: 1, 2
For the number 16, the common factors with 12 are: 1, 2
For the number 24, the common factors with 12 are: 1, 2, 3, 4, 6
For the number 84, the common factors with 12 are: 1, 2, 3, 6
By comparing the common factors, we can see that both the numbers 14 and 16 have exactly 2 factors in common with the number 12.
So the answer to the second question is either 14 or 16.