Question
Find the prime factorization of number 79300.
Answer
The prime factorization of 79300 is:
$$ 79300 = 2\cdot2\cdot5\cdot5\cdot13\cdot61 $$Which is the same as :
$$ 79300 = 2^{2}\cdot5^{2}\cdot13\cdot61 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 79300 can be written as 10 × 7930. |
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| 10 can be written as 2 × 5. |
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| 7930 can be written as 10 × 793. |
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| 10 can be written as 2 × 5. |
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| 793 can be written as 13 × 61. |
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| The end nodes are the prime factors of the number 79300. |
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