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10 grade maths

How do you simplify 256?

Profile image of Aniket Singh
11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

To simplify the number 256, we can look at its prime factorization and other mathematical properties.

Prime Factorization

First, let's break down 256 into its prime factors:

  • 256 is an even number, so we can divide it by 2.
  • Continuing this process: 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 factorization of 256 is:

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 or 28.

Square Root

Another way to simplify is by finding the square root:

The square root of 256 is 16, since 16 × 16 = 256.

Conclusion

In summary, 256 can be simplified to its prime factorization of 28 or by finding its square root, which is 16. Both methods provide a clearer understanding of the number.

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