it has impacted the world by
The farthest west reported is till Herat, Afghanistan. In east, it reached Japan.
Buddhism has its origins in India and its development occurred in India and the far East (Japan China etc.). Christianity originated in the middle East from Jewish source materials and developed in Europe.
Today, Buddhism can be found all across Asia - in fact, all across the world. It is most popular in east Asia, though.
As Buddhism travels from country to country its practices and traditions change, but so far the name Buddhism has remained. In Japan the particular school of Buddhism that is practiced is called Zen Buddhism. (The name Zen comes from the Chinese word Chan, which is also the name for a school of Buddhism, and which in turn comes from the Pali word jhana, the equivalent of the Sanskrit word dhyana, which refers to the practice of absorptive states of concentration.)
Now east asia is a better place
I assume you mean the religion of the Japanese? If that's the case, the answer would be Shinto as well as Buddhism. There is not one religion for the entirety of the Far East. In general broad strokes, there is Shintoism in Japan, Buddhism (in various forms but mostly Mahayana and Zen) across East Asia, Juche in North Korea, Christianity (primarily Protestantism, but also some Catholics) in South Korea and Japan, along with Daoism and Confucianism in China.
Buddha is thought to have lived roughly 1000 years before Muhammed. Conversion to Buddhism was strong in the Far East. When Islam first started to gain converts in the late 600's CE, most were in the Middle East and eventually westward into Northern Africa.
Buddhists are located throughout the world. It is a very common religious belief, and is growing more prevalent in countries like the United States. This is due to Westerners discovering more and more about Eastern spiritual philosophies.
Hinduism and Buddhism
Buddhism is a religion mainly practiced in the East.
Yes.
Buddhism and confucianism