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Which is a factor of this sum? (4 x 2) + (8 x 2)

Mathematics

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Answer

12\text{12}

Step-by-step solution

4 steps

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The question asks for a factor of the sum (4×2)+(8×2)(4 \times 2) + (8 \times 2).

  1. Calculate the value of the first term.

    4×2=84 \times 2 = 8
  2. Calculate the value of the second term.

    8×2=168 \times 2 = 16
  3. Add the two terms to find the total sum.

    Sum=8+16=24\text{Sum} = 8 + 16 = 24
  4. Identify which of the given options (7, 12, 21, 16) is a factor of 24.

    A factor divides a number evenly, leaving no remainder.

    • Is 7 a factor of 24? 24÷7≈3.4324 \div 7 \approx 3.43 (not an integer)
    • Is 12 a factor of 24? 24÷12=224 \div 12 = 2 (yes, it is an integer)
    • Is 21 a factor of 24? 24÷21≈1.1424 \div 21 \approx 1.14 (not an integer)
    • Is 16 a factor of 24? 24÷16=1.524 \div 16 = 1.5 (not an integer)

    Only 12 divides 24 evenly.

    The correct option is 12.
    12\text{12}

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