1, the choice of cardinality. In India's fast multiplication, the choice of radix is very important. Generally speaking, choose 10 or 100 as the radix, because such radix is easy to multiply and divide.

2. Decomposition multiplier. Divide the multiplier by the sum of prime factors, and then add the results of multiplying the two factors.

Knowledge expansion

India, located in the south of Asia, is a country with a long history and rich culture. India is the second most populous country in the world, with diverse religions, languages and customs.

The history of India can be traced back to around 2500 BC, when the civilization in the Indus Valley was very prosperous. In ancient times, India showed great cultural and scientific strength, such as inventing Arabic numerals and formulating the teachings of Hinduism and Buddhism.

Indian culture is diverse, and different regions and religious beliefs have their own unique cultural traditions. Indian dance, music, painting and sculpture have a long history and unique style.

India is a diversified country with many languages and dialects. Hindi is the official language of India and English is also widely used. Different religious beliefs have a wide following in India, such as Hinduism, Islam, Christianity and Sikhism.

India's economy has made remarkable progress in the past few years and has become one of the fastest growing major economies in the world. India's service industry, manufacturing industry and agriculture have all achieved important economic growth.

India's political system is a federal state, consisting of the central government and state governments. India is a democratic country with a pluralistic political system and electoral system.

Generally speaking, India is a vibrant and diversified country with rich historical and cultural traditions. India has made great progress in economy, science and technology, culture and other fields, and has become one of the forces that cannot be ignored in the world.