Conversion formula

The conversion factor from teaspoons to cups is 0.020833333333319, which means that 1 teaspoon is equal to 0.020833333333319 cups:

1 tsp = 0.020833333333319 cup

To convert 1604 teaspoons into cups we have to multiply 1604 by the conversion factor in order to get the volume amount from teaspoons to cups. We can also form a simple proportion to calculate the result:

1 tsp → 0.020833333333319 cup

1604 tsp → V_(cup)

Solve the above proportion to obtain the volume V in cups:

V_(cup) = 1604 tsp × 0.020833333333319 cup

V_(cup) = 33.416666666644 cup

The final result is:

1604 tsp → 33.416666666644 cup

We conclude that 1604 teaspoons is equivalent to 33.416666666644 cups:

1604 teaspoons = 33.416666666644 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.029925187032439 × 1604 teaspoons.

Another way is saying that 1604 teaspoons is equal to 1 ÷ 0.029925187032439 cups.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that one thousand six hundred four teaspoons is approximately thirty-three point four one seven cups:

1604 tsp ≅ 33.417 cup

An alternative is also that one cup is approximately zero point zero three times one thousand six hundred four teaspoons.

Conversion table

teaspoons to cups chart

For quick reference purposes, below is the conversion table you can use to convert from teaspoons to cups