In how many ways can 576 be expressed as product of two distinct factors?109128

To find out how many ways 576 can be expressed as a product of two distinct factors, we first need to find all the factors of 576.

Step 1: Find the factors of 576 The factors of 576 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576.

Step 2: Pair the factors Now, we pair these factors in such a way that the product of each pair is 576. The pairs are: (1, 576), (2, 288), (3, 192), (4, 144), (6, 96), (8, 72), (9, 64), (12, 48), (16, 36), (18, 32), (24, 24).

Step 3: Count the pairs We have 11 pairs in total. However, the pair (24, 24) is not distinct, so we don't count it.

So, 576 can be expressed as a product of two distinct factors in 10 ways.