How many 2 digit positive integers are there such that their product is 24?

Solution:

Given, the product of 2 digit positive integers is 24.

We have to find the number of 2 digit positive integers.

The factors of the number 24 are

1) 1 and 24

2) 2 and 12

3) 3 and 8

4) 4 and 6

5) 8 and 3

6) 6 and 4

The factors (1, 24) and (2, 12) are rejected.

Now, 3(8) = 24

4(6) = 24 and vice versa.

The 2 digit positive integers are 38, 46, 83 and 64.

Therefore, the required number of 2 digit positive integers are 4.

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How many 2 digit positive integers are there such that their product is 24?

Summary:

4 two digit positive integers are there such that their product is 24.