Question
Find the prime factorization of number 37776.
Answer
The prime factorization of 37776 is:
$$ 37776 = 2\cdot2\cdot2\cdot2\cdot3\cdot787 $$Which is the same as :
$$ 37776 = 2^{4}\cdot3\cdot787 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 37776 can be written as 2 × 18888. |
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| 18888 can be written as 2 × 9444. |
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| 9444 can be written as 2 × 4722. |
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| 4722 can be written as 2 × 2361. |
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| 2361 can be written as 3 × 787. |
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| The end nodes are the prime factors of the number 37776. |
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