Long Multiplication: 78 × 3

Long Multiplication Calculator
Multiplicand (number to be multiplied)
Multiplier (number to multiply by)

What is 78 × 3?

Answer

78 × 3 =
234

78 × 3 and 3 × 78 are the same product — the order of the factors never changes the answer, only the working. Below, 78 is multiplied by 3 in a column, digit by digit.

78 × 3 in a Column

The multiplicand goes on top, the multiplier underneath, both aligned on the right. The multiplier has a single digit, so there is one partial product and the answer goes straight under the line.

  78
×  3
 234
78 × 3 = 234

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 3: 78 × 3 = 234.

  • 8 × 3 = 24. Write 4 and carry 2.
  • 7 × 3 = 21, plus the carried 2 makes 23. Write 3 and carry 2.
  • No digits are left, so the carried 2 is written in front: the partial product is 234.

78 × 3

=

234

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 234 ÷ 3 = 78 must come out exactly, with no remainder.

Fractions are a different calculation. Both factors here are whole numbers; for 2/3 or 2 3/4 use the fraction multiplication calculator, which multiplies numerators and denominators separately.

78 × 3 is a number, not an area. If those are the sides of a room in feet, the answer is 234 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

See Also

Long Multiplication Calculator

This calculator multiplies two whole numbers the way it is done on paper: digit by digit, carrying where the column overflows, then adding the partial products together. For example, it can help you find out what is 78 × 3? (The answer is: 234). Enter the multiplicand (e.g. '78') and the multiplier (e.g. '3') and hit the button. The order of the two numbers does not matter — 78 × 3 and 3 × 78 are the same product — so either number can go on top. Fractions and mixed numbers belong to the fraction multiplication calculator, and the reverse operation is long division.

Products of 78

FAQ

What is 78 × 3?

78 × 3 = 234

Is 78 × 3 the same as 3 × 78?

Yes. Multiplication is commutative, so both come to 234. Only the working differs: this page multiplies by 3, which gives a single partial product.

How do you check that 78 × 3 = 234?

Divide the product back by one of the factors: 234 ÷ 3 = 78 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 78 × 3?

There is only one: the multiplier 3 has a single digit, so 78 × 3 = 234 is written straight under the line, with no addition step.