The prime factorization of 30400 is:
$$ 30400 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot19 $$Which is the same as :
$$ 30400 = 2^{6}\cdot5^{2}\cdot19 $$Prime factorization can be nicely visualized by creating a factorization tree.
30400 can be written as 10 × 3040. |
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10 can be written as 2 × 5. |
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3040 can be written as 10 × 304. |
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10 can be written as 2 × 5. |
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304 can be written as 2 × 152. |
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152 can be written as 2 × 76. |
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76 can be written as 2 × 38. |
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38 can be written as 2 × 19. |
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The end nodes are the prime factors of the number 30400. |
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