Product of a List Calculator

Enter a list of numbers to multiply them all together.

How it is calculated

The tool splits the text on commas and spaces (any mix of them), checks that every piece is a number, and multiplies them all: P = n₁ × n₂ × … × nk. It shows P and the count k of numbers used. A single number is a valid list and returns itself. If any piece is not numeric, such as a letter or a semicolon-joined pair like 2;3, the whole input is rejected. Use a dot for decimals: because a comma separates items, 2,5 is read as the two numbers 2 and 5, not 2.5. A zero anywhere makes the product 0, and an odd number of negative values makes it negative. Products from 0.01 up to 1 billion print with two decimals. Larger or smaller ones keep 6 significant figures instead: 123456 × 98765 shows as 12,193,100,000, and 0.001 × 0.002 shows as 2e-6. A product too big to represent gives no result.

Worked example

Multiply 1.5, 2, −4 and 3. Step 1: 1.5 × 2 = 3. Step 2: 3 × (−4) = −12. Step 3: −12 × 3 = −36. One factor is negative, so the sign is negative. The tool prints a product of -36.00 and a count of 4.

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Common mistakes

  • Typing a decimal comma such as 2,5. The comma is a separator, so this becomes 2 and 5 and the product is 10.00, not 2.5; write 2.5.
  • Losing a minus sign. A single missing negative flips the sign of the whole product.
  • Leaving a 0 in the list by accident, which makes the whole product 0.00.
  • Separating the numbers with semicolons or other symbols. Only commas and spaces are accepted, and anything else makes the input invalid and shows no result.
  • Reading a rounded large product as exact. Above 1 billion only the first 6 significant figures are real, so 12,193,100,000 is not the exact 12,193,131,840.

About this calculator

The product of a list is what you get by multiplying every number in a set together rather than adding them, written mathematically with the capital-pi notation ∏ the same way a sum uses capital sigma ∑. It's a simple operation, but doing it by hand across more than a handful of numbers gets error-prone fast, especially with decimals or negative values where a single sign error flips the entire result.

The calculation shows up in statistics when computing a geometric mean (the nth root of a product of n values, used for averaging rates like investment returns or growth percentages), in finance when chaining together multiple period-over-period growth factors to find compounded change, and in combinatorics and programming whenever a running product — like a factorial — needs to be built up across a list of values.

This calculator multiplies every number you enter and shows the total product alongside how many values were included.

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