Long Multiplication: 77 × 3

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

What is 77 × 3?

Answer

77 × 3 =
231

77 × 3 and 3 × 77 are the same product — the order of the factors never changes the answer, only the working. Below, 77 is multiplied by 3 in a column, digit by digit.

77 × 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.

  77
×  3
 231
77 × 3 = 231

Step-by-Step Solution

Step 1: Multiply the multiplicand by the last digit of the multiplier, 3: 77 × 3 = 231.

  • 7 × 3 = 21. Write 1 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 231.

77 × 3

=

231

Check It, and What It Is Not

Check by dividing back. Multiplication and division undo each other, so 231 ÷ 3 = 77 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.

77 × 3 is a number, not an area. If those are the sides of a room in feet, the answer is 231 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.

Related Calculations

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 77 × 3? (The answer is: 231). Enter the multiplicand (e.g. '77') and the multiplier (e.g. '3') and hit the button. The order of the two numbers does not matter — 77 × 3 and 3 × 77 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.
Recalculate with different values ↑

Products of 77

MultiplicationProduct
67 × 3201
68 × 3204
69 × 3207
70 × 3210
71 × 3213
72 × 3216
73 × 3219
74 × 3222
75 × 3225
76 × 3228
77 × 3231
78 × 3234
79 × 3237
80 × 3240
81 × 3243
82 × 3246
83 × 3249
84 × 3252
85 × 3255
86 × 3258

FAQ

What is 77 × 3?

77 × 3 = 231

Is 77 × 3 the same as 3 × 77?

Yes. Multiplication is commutative, so both come to 231. Only the working differs: this page multiplies by 3, which gives a single partial product.

How do you check that 77 × 3 = 231?

Divide the product back by one of the factors: 231 ÷ 3 = 77 exactly, with no remainder. Multiplication and division undo each other, which is what makes this check work.

What are the partial products of 77 × 3?

There is only one: the multiplier 3 has a single digit, so 77 × 3 = 231 is written straight under the line, with no addition step.

See Also