All Fermi answers
Fermi #104 · Question 3

The Chinese city of Zhuji makes a third of the world's socks. How many pairs does it turn out in a year?

Explore the official answer and the simple reasoning behind this Fermi estimate.

3QUESTION 3 OF 3

Answer & explanation

Based on Chinese state media figures for 2024.

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

25,000,000,000

pairs

How to estimate it

Fermi’s official “Napkin math”

This question comes down to: on average, how many pairs of socks does a person go through in a year? Let's go with eight pairs. That's 64 billion pairs of socks (eight pairs times eight billion people). Divided by three you get just over 20 billion.

People on Earth
8,000,000,000
Pairs per person a year
× 8
A third of the world's socks
÷ 3
64B ÷ 3
≈ 21,000,000,000

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Datang subdistrict, reported yearly output (Xinhua, 2024)
over 25 billion pairs
Whole-city floor from the Zhuji government (end of 2024)
over 20 billion pairs
≈
25,000,000,000

Reference cited by Fermi: Xinhua

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