Long Multiplication: 460 × 7
What is 460 × 7?
Answer
460 × 7 and 7 × 460 are the same product — the order of the factors never changes the answer, only the working. Below, 460 is multiplied by 7 in a column, digit by digit.
460 × 7 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.
| 4 | 6 | 0 | ||
| × | 7 | |||
| 3 | 2 | 2 | 0 |
Step-by-Step Solution
Step 1: Multiply the multiplicand by the last digit of the multiplier, 7: 460 × 7 = 3,220.
- 0 × 7 = 0. Write 0.
- 6 × 7 = 42. Write 2 and carry 4.
- 4 × 7 = 28, plus the carried 4 makes 32. Write 2 and carry 3.
- No digits are left, so the carried 3 is written in front: the partial product is 3,220.
460 × 7
=3,220
Check It, and What It Is Not
Check by dividing back. Multiplication and division undo each other, so 3,220 ÷ 7 = 460 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.
460 × 7 is a number, not an area. If those are the sides of a room in feet, the answer is 3,220 square feet — the same arithmetic, a different question, and it is answered by the square footage calculator.
Related Calculations
See Also
- Long Division Calculator - Step-by-step long division with detailed explanation
- Multiplying Fractions Calculator - Multiply fractions, mixed numbers and whole numbers step by step
- Factors of a Number - List all Factors and Factor Pairs of a Number
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
<a href="https://calculat.io/en/number/long-multiplication/460--7">460 × 7 = 3,220 - Long Multiplication - Calculatio</a>