# Write all the smallest 5 digit numbers. Express it in terms of its prime factor by tree diagram.

Last updated date: 24th Mar 2023

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Answer

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Hint: Prime factorization is a way of writing a given number as the product of its prime factors.

We know that smallest five digit number = 10000

Prime factor of 10000 = $$2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5$$

Image of the factor tree:

Note:

Prime factorization is finding which prime numbers multiply together to make the original number. The above tree diagram shows the process of breaking 10000 till we get all prime numbers at the end.

We know that smallest five digit number = 10000

Prime factor of 10000 = $$2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5$$

Image of the factor tree:

Note:

Prime factorization is finding which prime numbers multiply together to make the original number. The above tree diagram shows the process of breaking 10000 till we get all prime numbers at the end.

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