contestada

The number of divisors of the number 100 is the same as the number
of the divisors of the number 5929. (Note, we do not say they have the same
divisors, we say they have the same number of divisors - factoring both numbers
into primes will help you answer this )
True
False

Respuesta :

JeanaShupp

Answer: True

Step-by-step explanation:

  • The number of divisors of a number is the product of one more than each exponent in its prime factorization.

Given numbers : 100 and 5929

Prime factorization of the above numbers :-

[tex]100=2\times2\times2\times5\times5=2^2\times5^2\\\\ 5929=7\times7\tuimes11\times11=7^2times11^2/tex]

Now, the number of divisors of 100 = [tex](2+1)(2+1)=6[/tex]

Similarly , the number of divisors of  5929=6

Hence, the number of divisors of the number 100 is the same as the number  of the divisors of the number 5929.

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