1. (a) 297 x 17 + 297 x 3 = 297 x (17 + 3) = 297 x 20 = 5940 (b) 54279 x 92 + 8 x 542379 = 54279 x (92 + 8) = 54279 x 100 = 5427900 (c) 81265 x 169 – 81265 x 69 = 81265 x (169 – 69) = 81265 x 100 = 8126500 (d) 3845 x 5 x 782 + 769 x 25 x 218 = 3845 x 5 x 782 + 769 x 5 x 5 x 218) = 3845 x 5 x 782 + 3845Read more

    (a) 297 x 17 + 297 x 3
    = 297 x (17 + 3)
    = 297 x 20
    = 5940

    (b) 54279 x 92 + 8 x 542379
    = 54279 x (92 + 8)
    = 54279 x 100
    = 5427900

    (c) 81265 x 169 – 81265 x 69
    = 81265 x (169 – 69)
    = 81265 x 100
    = 8126500

    (d) 3845 x 5 x 782 + 769 x 25 x 218
    = 3845 x 5 x 782 + 769 x 5 x 5 x 218)
    = 3845 x 5 x 782 + 3845 x 5 x 218
    = 3845 x 5 x (782 + 218)
    = 3845 x 5 x 1000
    = 19225000

    https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/

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  2. Factors of 12 are 1, 2, 3, 4, 6 and 12. Therefore, the number also be divisible by 1, 2, 3 4 and 6. https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/

    Factors of 12 are 1, 2, 3, 4, 6 and 12.
    Therefore, the number also be divisible by 1, 2, 3 4 and 6.

    https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/

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  3. (a) Factors of 18 = 1, 2, 3, 6, 9, 18 Factors of 35 = 1, 5, 7, 35 Common factor = 1 Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbers. (b) Factors of 15 = 1, 3, 5, 15 Factors of 37 = 1, 37 Common factor = 1 Since, both have only one common factor, i.e., 1, therefRead more

    (a) Factors of 18 = 1, 2, 3, 6, 9, 18
    Factors of 35 = 1, 5, 7, 35
    Common factor = 1
    Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbers.
    (b) Factors of 15 = 1, 3, 5, 15
    Factors of 37 = 1, 37
    Common factor = 1
    Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbers.
    (c) Factors of 30 = 1, 2, 3, 5, 6, 15, 30
    Factors of 415 = 1, 5, …….., 83, 415
    Common factor = 1, 5
    Since, both have more than one common factor, therefore, they are not co-prime numbers.
    (d) Factors of 17 = 1, 17
    Factors of 68 = 1, 2, 4, 17, 34, 86
    Common factor = 1, 17
    Since, both have more than one common factor, therefore, they are not co-prime numbers.
    (e) Factors of 216 = 1, 2, 3, 4, 6, 8, 36, 72, 108, 216
    Factors of 215 = 1, 5, 43, 215
    Common factor = 1
    Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbers.
    (f) Factors of 81 = 1, 3, 9, 27, 81
    Factors of 16 = 1, 2, 4, 8, 16
    Common factor = 1
    Since, both have only one common factor, i.e., 1, therefore, they are co-prime numbers.

    https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/

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