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Find all the factor pairs for 2727 and complete the equations.\newline27=1×___27 = 1 \times \_\_\_\newline27=3×___27 = 3 \times\_\_\_

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Full solution

Q. Find all the factor pairs for 2727 and complete the equations.\newline27=1×___27 = 1 \times \_\_\_\newline27=3×___27 = 3 \times\_\_\_
  1. Identify Factor Pair: Identify the first factor pair for 2727. Start with 11, since 11 times any number is that number itself. Calculate 2727 divided by 11.\newline27/1=2727 / 1 = 27.
  2. Calculate First Factor: Complete the first equation with the calculated factor.\newline27=1×2727 = 1 \times 27.
  3. Check 33 as Factor: Identify the next factor pair. Check if 33 is a factor of 2727 by dividing 2727 by 33.\newline27/3=927 / 3 = 9.
  4. Calculate Second Factor: Complete the second equation with the calculated factor.\newline27=3×927 = 3 \times 9.
  5. Check for Additional Factors: Check for additional factors. Test if 99 is a factor by dividing 2727 by 99.\newline279=3\frac{27}{9} = 3, which we already have listed.
  6. Finalize Unique Factors: Since 99 is the square root of 2727, and we have returned to a previous factor, no further unique factors exist.

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