The formula
kcal = kJ × 0.2390057361
Where the factor comes from — each unit by its definition, then its size in SI:
1 kJ = 1000 × J = 1,000 J1 kcal = 1000 × cal = 4,184 J
Dividing the two SI sizes gives the factor: 0.239005736138 (rounded for display; the underlying ratio is fixed by the definitions). The reverse factor is 4.184.
The SI unit of energy is the joule. Food labels use kilocalories, electricity bills kilowatt-hours, heating specs BTU and particle physics electronvolts — the same quantity in five costumes.
Worked examples
- A day's food: 8,368 kJ = 2,000 kcal — 8,368 × 0.2390057361 = 2,000
- A 1 kW heater run for one hour (1 kWh): 3,600 kJ = 860.421 kcal — 3,600 × 0.2390057361 = 860.421
- Lifting 1 kg through 1 m at standard gravity (9.80665 J): 0.00980665 kJ = 0.00234385 kcal — 0.00980665 × 0.2390057361 = 0.00234385
- A visible-light photon (2 eV): 3.20435 × 10⁻²² kJ = 7.65859 × 10⁻²³ kcal — 3.20435 × 10⁻²² × 0.2390057361 = 7.65859 × 10⁻²³
Frequently asked questions
How many kilocalories (food Calories) is 1 kJ?
1 kJ = 0.239005736138 kcal.
How do I convert kilocalories (food Calories) back to kilojoules?
Divide by 0.239005736138 — or multiply by 4.184: 1 kcal = 4.184 kJ.