brionacross564 brionacross564
  • 02-09-2019
  • Mathematics
contestada

If m, p, and t are distinct positive prime numbers, then mpt has how many different positive divisors greater than 1 ?

Respuesta :

A1peakenbe A1peakenbe
  • 06-09-2019

Answer:

The number [tex]m\times p\times t[/tex] has seven divisors.

Step-by-step explanation:

Since it is given that m,p,t are prime numbers thus they will be divided completely by 1 and themselves alone

For the number [tex]m\times p\times t[/tex] the divisors are

1) 1

2) p

3) m

4) t

5) [tex]m\times p[/tex]

6) [tex]m\times t[/tex]

7)[tex]t\times p[/tex]

8)[tex]m\times p\times t[/tex]

Thus the number of divisors of [tex]m\times p\times t[/tex] other that 1 are 7.

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