Question
Find the prime factorization of number 976864.
Answer
The prime factorization of 976864 is:
$$ 976864 = 2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot7\cdot7\cdot89 $$Which is the same as :
$$ 976864 = 2^{5}\cdot7^{3}\cdot89 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 976864 can be written as 2 × 488432. |
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| 488432 can be written as 2 × 244216. |
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| 244216 can be written as 2 × 122108. |
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| 122108 can be written as 2 × 61054. |
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| 61054 can be written as 2 × 30527. |
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| 30527 can be written as 7 × 4361. |
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| 4361 can be written as 7 × 623. |
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| 623 can be written as 7 × 89. |
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| The end nodes are the prime factors of the number 976864. |
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