Can you help me solve the problem?

Question

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.

Answer 1

Factors of 12:

1, 12, 2, 6, 3, 4

Factors of 16:
1, 2, 4 (and others)

Factors of 14:
1, 2 (and others)

Answer 2

I still don't understand which one have exactly 3 factors in common with the number 12. Can you please explain?

Answer 3

16 has exactly 3 factors in common with 12. Factors of both 12 and 16 are: 1, 2, and 4.

Answer 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.