which type of asexual reproduction has the offspring grow out of the parent organism?

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Nature

The type of asexual reproduction where the offspring grow out of the parent organism is called budding. In budding, a new organism develops from an outgrowth or bud on the parent due to cell division at one particular site. The bud grows and eventually detaches from the parent to become an independent organism. This method occurs in organisms like yeast and some animals such as hydra.