masatheoneandonly masatheoneandonly
  • 18-02-2024
  • Mathematics
contestada

a number has exactly eight factors two of the facors are 4 and 6 what is the number ?

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 18-02-2024

Step-by-step explanation:

the factors of factors are also factors of the main number.

so, 4 = 2×2, 6 = 2×3, that means 2 and 3 are also factors.

and 1 and the number itself are factors too.

so, we have already

1, 2, 3, 4, 6, x

these 6 factors would be the factors for 12 (x = 12).

but we need 8 factors.

so, multiplying the factors from small to bigger to create something we did not have yet, we can add

2×4 = 8 and 3×4 = 12

x = 24

has then 8 factors :

1, 2, 3, 4, 6, 8, 12, 24

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