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Vind die faktore van 1 000 000. Onthou dat faktore in pare voorkom, bv. Toon jou bewerkings hier onder. Skryf die veelvoude van hierdie getalle neer, maar nie groter as 1 000 000 nie.

Mathematics

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3. Vind die faktore van 1 000 000. Onthou dat faktore in pare voorkom.
To find the factors of 1,000,000, we list all pairs of numbers that multiply to 1,000,000.

  1. List the factor pairs of 1,000,000.

    1×1 000 000=1 000 0001 \times 1\,000\,000 = 1\,000\,000 2×500 000=1 000 0002 \times 500\,000 = 1\,000\,000 4×250 000=1 000 0004 \times 250\,000 = 1\,000\,000 5×200 000=1 000 0005 \times 200\,000 = 1\,000\,000 8×125 000=1 000 0008 \times 125\,000 = 1\,000\,000 10×100 000=1 000 00010 \times 100\,000 = 1\,000\,000 16×62 500=1 000 00016 \times 62\,500 = 1\,000\,000 20×50 000=1 000 00020 \times 50\,000 = 1\,000\,000 25×40 000=1 000 00025 \times 40\,000 = 1\,000\,000 32×31 250=1 000 00032 \times 31\,250 = 1\,000\,000 40×25 000=1 000 00040 \times 25\,000 = 1\,000\,000 50×20 000=1 000 00050 \times 20\,000 = 1\,000\,000 80×12 500=1 000 00080 \times 12\,500 = 1\,000\,000 100×10 000=1 000 000100 \times 10\,000 = 1\,000\,000 125×8 000=1 000 000125 \times 8\,000 = 1\,000\,000 160×6 250=1 000 000160 \times 6\,250 = 1\,000\,000 200×5 000=1 000 000200 \times 5\,000 = 1\,000\,000 250×4 000=1 000 000250 \times 4\,000 = 1\,000\,000 400×2 500=1 000 000400 \times 2\,500 = 1\,000\,000 500×2 000=1 000 000500 \times 2\,000 = 1\,000\,000 625×1 600=1 000 000625 \times 1\,600 = 1\,000\,000 800×1 250=1 000 000800 \times 1\,250 = 1\,000\,000 1 000×1 000=1 000 0001\,000 \times 1\,000 = 1\,000\,000

    The factors of 1,000,000 are:
    1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 1600, 2000, 2500, 4000, 5000, 6250, 8000, 10000, 12500, 20000, 25000, 31250, 40000, 50000, 62500, 100000, 125000, 200000, 250000, 500000, 1000000.

    4. Skryf die veelvoude van hierdie getalle neer, maar nie groter as 1 000 000 nie.

    • a. 100 000: The multiples of 100,000 up to 1,000,000 are: 100 000, 200 000, 300 000, 400 000, 500 000, 600 000, 700 000, 800 000, 900 000, 1 000 000.

    • b. 250 000: The multiples of 250,000 up to 1,000,000 are: 250 000, 500 000, 750 000, 1 000 000.

    • c. 125 000: The multiples of 125,000 up to 1,000,000 are: 125 000, 250 000, 375 000, 500 000, 625 000, 750 000, 875 000, 1 000 000.

    • d. 300 000: The multiples of 300,000 up to 1,000,000 are: 300 000, 600 000, 900 000.

    • e. 200 000: The multiples of 200,000 up to 1,000,000 are: 200 000, 400 000, 600 000, 800 000, 1 000 000.

    Probleemoplossing: Palesa het 126 boeke wat in ewe groot stapels gepak is. Noem al die maniere waarop die boeke gestapel kan word.
    This question asks for all the factors of 126, as each factor represents a possible number of books per stack (or number of stacks).

  2. Find the prime factorization of 126.

    126=2×63=2×3×21=2×3×3×7=21×32×71126 = 2 \times 63 = 2 \times 3 \times 21 = 2 \times 3 \times 3 \times 7 = 2^1 \times 3^2 \times 7^1
  3. List all factors by combining the prime factors.

    The factors of 126 are:

    11 22 33 77 2×3=62 \times 3 = 6 2×7=142 \times 7 = 14 3×3=93 \times 3 = 9 3×7=213 \times 7 = 21 2×3×3=182 \times 3 \times 3 = 18 2×3×7=422 \times 3 \times 7 = 42 3×3×7=633 \times 3 \times 7 = 63 2×3×3×7=1262 \times 3 \times 3 \times 7 = 126

    The ways Palesa can stack the books are in stacks of:
    1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, or 126 books.

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