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134217728 find the cube root?
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134217728 find the cube root?
How to find the cube root of 134217728?
To find the cube root of 134217728, we need to use a mathematical method called prime factorization. This method involves breaking down the number into its prime factors and using them to find the cube root.
Step 1: Prime Factorization
The first step is to find the prime factors of the number 134217728. We can do this by dividing the number by its smallest prime factor, which is 2. We continue dividing by 2 until we can no longer divide by 2. The result is:
- 134217728 ÷ 2 = 67108864
- 67108864 ÷ 2 = 33554432
- 33554432 ÷ 2 = 16777216
- 16777216 ÷ 2 = 8388608
- 8388608 ÷ 2 = 4194304
- 4194304 ÷ 2 = 2097152
- 2097152 ÷ 2 = 1048576
- 1048576 ÷ 2 = 524288
- 524288 ÷ 2 = 262144
- 262144 ÷ 2 = 131072
- 131072 ÷ 2 = 65536
- 65536 ÷ 2 = 32768
- 32768 ÷ 2 = 16384
- 16384 ÷ 2 = 8192
- 8192 ÷ 2 = 4096
- 4096 ÷ 2 = 2048
- 2048 ÷ 2 = 1024
- 1024 ÷ 2 = 512
- 512 ÷ 2 = 256
- 256 ÷ 2 = 128
- 128 ÷ 2 = 64
- 64 ÷ 2 = 32
- 32 ÷ 2 = 16
- 16 ÷ 2 = 8
- 8 ÷ 2 = 4
- 4 ÷ 2 = 2
- 2 ÷ 2 = 1
So, the prime factors of 134217728 are:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^27
Step 2: Simplify the Cube Root
Now that we have found the prime factorization of
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134217728 find the cube root?
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134217728 find the cube root? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 134217728 find the cube root? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 134217728 find the cube root?.
134217728 find the cube root? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 134217728 find the cube root? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 134217728 find the cube root?.
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