Question

How to find prime numbers between 60 to 100

Answer 1

Answer:

There are 8 prime numbers between 60 and 100.

Step-by-step explanation:

Prime numbers between 60 to 100 are :

61 ,67 ,71 ,73 ,79 ,83 ,89 and 97.

Answer 2

Answer:

61,67,71,73,79,83,89,97 are the prime numbers between 60 to 100.

Step-by-step explanation:

Hint:

• To determine which numbers are prime or not, we will utilise the rule of divisibility.
• The term "prime number" refers to a number that is only divided by itself and by one.
• Additionally, we are aware that a composite number is one that is equal to itself, one, and a few additional numbers in addition to one.
• We can now simply find those numbers from this.

• Here, the clue has already provided us with knowledge of the prime and composite numbers.
• Furthermore, we should be aware that the composite numbers won't be prime numbers.
• The left numbers will then be prime numbers when we have determined the composite number.

The divisibility rule will be used to determine this.

• We already know that even numbers are those that can be divided by two.
• All divisible numbers will therefore be composite numbers, with the exception of one, which is 2 itself.

• Thus, we have 62, 64, to 96, 98.

• We'll now determine whether 5 is divisible.
• Since we already know that numbers ending in 0 or 5 fall under this category, the numbers for this are 65, 70, 75, 85, 90, 95.

• The remaining numbers are therefore 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, and 99.

• Now we will check the divisibility of these integers by 3 and 7

• We already know that a number is divisible by three if its digit sum also divides into three.

The remaining numbers are as follows:

61,67,71,73,77,79,83,89,91,97

• We shall now determine whether these numbers can be divided by seven.

• Since we already know that a number is divisible by 7 if we double the units position of the digit that will be subtracted from the remainder of the numbers, the number 91 will also be divisible by 7 since 9(12)=92=7.
• Likewise, 77 will divide evenly by 7.

• So, we'll also get rid of these numbers.

• There will be 61,67,71,73,79,83,89,97 more prime numbers.

Final answer:

Therefore, "61,67,71,73,79,83,89,97" is the right response.

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