which of the numbers below have exactly three divisors
(1) 81
(2) 100
(3) 121
(4) 144
how calculated the simplest way
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Answer:
which of the numbers below have exactly three divisors
121, which is option number 3.
Step-by-step explanation:
- The factors of 121 are the numbers that divide 121 exactly, leaving the remainder as zero.
- The number 121 is exactly divisible by 1, 11 and 121 only.
- The factors of 81 are the numbers that divide 81 exactly, leaving remainder as zero.
- The numbers 81 is exactly divisible by- 1, 3, 9, 27 and 81.
- The factors of 100 are the numbers that divide 100 exactly, leaving the remainder as zero.
- The number 100 is exactly divisible by 1, 2, 4, 5, 10, 20, 25,50 and 100.
- The factors of 144 are the numbers that divide 144 exactly, leaving the remainder as zero.
- The number 144 is exactly divisible by 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
- So now we have calculate all the divisors of the given options that is- 81, 100, 121, 144.
- And from solving we come to know that the number 121 only have exactly 3 divisors.
Hence, answer to the question is 121 which is option number 3. This is correct answer.
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