Question
Find the prime factorization of number 10972.
Answer
The prime factorization of 10972 is:
$$ 10972 = 2\cdot2\cdot13\cdot211 $$Which is the same as :
$$ 10972 = 2^{2}\cdot13\cdot211 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10972 can be written as 2 × 5486. |
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| 5486 can be written as 2 × 2743. |
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| 2743 can be written as 13 × 211. |
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| The end nodes are the prime factors of the number 10972. |
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