How many zeroes are there at the end of the following product?1 × 5 × 10 × 15 × 20 × 30 × 35 × 40 × 45 × 50 × 55 × 60

To find the number of zeroes at the end of the product, we need to find the number of pairs of 2 and 5 in the factors, because 2*5=10.

In the given product, every number is a multiple of either 5 or 10.

The numbers that are multiples of 5 are: 5, 15, 35, 45, 55. There are 5 of these.

The numbers that are multiples of 10 are: 10, 20, 30, 40, 50, 60. There are 6 of these.

Every multiple of 10 is also a multiple of 5, so we can say that there are 5+6=11 multiples of 5 in the factors.

However, every multiple of 10 also contains an extra factor of 2 (because 10=2*5), so we need to add the number of multiples of 10 to the total count of factors of 2.

So, the total number of factors of 2 is also 11.

Since we have 11 pairs of 2 and 5, there are 11 zeroes at the end of the product.