The Tokyo district with the cheapest housing prices is typically found in the outer suburbs or less central areas. These districts often include Saitama Prefecture, Chiba Prefecture, and areas like Ota and Suginami in Tokyo itself. The reason for the lower housing prices in these districts is primarily due to their distance from the city center and the lack of amenities and infrastructure compared to the bustling central areas like Shibuya, Ginza, or Harajuku.

Data from the Land, Infrastructure, Transport, and Tourism Ministry of Japan indicates that as of 2021, the average price per square meter in Tokyo's central areas was around 1,500,000 yen, while in the outer suburbs, the average price was approximately 500,000 to 700,000 yen. This significant difference is attributed to several factors. Firstly, the central areas of Tokyo are highly sought after due to their proximity to major business districts, shopping centers, and transportation hubs. This high demand drives up property values. In contrast, the outer suburbs offer more affordable housing options, with properties being more spread out and less densely populated.

Additionally, the cost of living in central Tokyo is generally higher due to the high cost of utilities, transportation, and daily expenses. The outer suburbs, on the other hand, provide a more relaxed lifestyle with lower costs of living, which makes them more attractive to families and individuals looking for affordable housing. For instance, Saitama Prefecture, located just north of Tokyo, offers a variety of housing options that are significantly cheaper than those in the city center. The same can be said for Chiba Prefecture, which is situated to the east of Tokyo.

Furthermore, the availability of land in the outer suburbs is more abundant, allowing for the construction of larger homes and gardens, which is a significant draw for families. This contrast in housing options and lifestyle preferences contributes to the lower housing prices in these districts.

In conclusion, the cheapest housing prices in Tokyo are generally found in the outer suburbs and less central areas, such as Saitama Prefecture, Chiba Prefecture, and districts like Ota and Suginami. The reasons for these lower prices include their distance from the city center, lower demand, and the more relaxed lifestyle they offer. Data from the Land, Infrastructure, Transport, and Tourism Ministry of Japan supports this trend, showing a significant difference in average prices per square meter between central and outer suburban areas.