You are watching: What are the prime numbers up to 100
The prime numbers to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.
We can say the composite numbers deserve to be damaged down into other entirety numbers.Both 2 and also 3 are different numbers come 6 and also they space both smaller.Because 6 can be damaged down, we say the it is a composite number. It is composed of 2 times 3. 6 is in the 2 times table and 6 is in the three times table.Not all numbers can be make by multiplying 2 smaller entirety numbers.Prime numbers are numbers the cannot be made through multiplying two smaller totality numbers.Prime numbers room not in the times tables of any type of other numbers.7 is an instance of a element number.The word element also method ‘first’. A prime number is the an initial number in a time table as lengthy as that does not show up in an additional times table.
We say that prime number have specifically two factors, the number 1 and the number itself.Apart indigenous the number 1, every number is a element number or a composite number.A number the is no a composite number is element number and also a number that is no a element number is a composite number.The number 1 is no prime nor composite.Prime numbers are not basic to uncover or identify.The element numbers come 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and also 97.
2 deserve to only be composed as 1 × 2.A prime number is the first number in a time table. 2 is the an initial number in the 2 times table and therefore that is prime.This method that all other numbers in the 2 times table room not prime.It is simple to check if a number is in the two times table. All numbers in the 2 times table end in a 2, 4, 6, 8 or 0.So if a number ends in a 2, 4, 6, 8 or 0, that is in the two times table and therefore is not a prime number.For instance 4 is 2 × 2 and so, it is no prime.
8 is 2 × 4 and also so, that is no prime.
All number that end in a 2, 4, 6, 8 or 0 are in the 2 times table and also are not prime. This rule uses to every numbers, no matter exactly how large.20 end in a zero and also therefore the is in the two times table and also is not prime.
Here are the element numbers come 100.We have the right to see that apart indigenous 2 and 5, all other prime numbers finish in a 1, 3, 7 or 9.
Not all numbers finishing in 1, 3, 7 and also 9 room prime. For example 99 is 9 × 11 and also so is not prime.However, this rule permits us come easily inspect if a number is no prime.For instance 35 ends in a 5.
There is no pattern to the element numbers so they can be tough to find.
All prime numbers bigger than 3 room one much more or one less than a number in the 6 time table.Any number in the six times table to add 2 or to add 4 will certainly still it is in even and also therefore will be in the two times table.Any number in the 6 times table plus 3 is tho in the 3 times table.This leaves the number that space one much more or one less than a number in the 6 times table.For example, 43 is a element number. The is one much more than 42, i beg your pardon is in the 6 times table.59 is likewise a prime number. That is one much less than 60, i m sorry is in the 6 times table.This method that if a number is beside a number in the 6 times table and also ends in a 1, 3, 7 or 9, it is really likely to it is in a element number.However, not all number that end in 1, 3, 7 and also 9 space prime numbers.Here room some exception to be aware of.49 is 7 × 7 and so the is no prime, even though it end in a 9.
91 is 7 × 13 and so it is no prime, also though it ends in a 1.
We perform not recognize the square source of 31 but we know that 6 × 6 = 36. The square source of 36 is 6 and so we will shot dividing through the element numbers much less than 6.These space 2, 3 and also 5. We divide 31 by 2, 3 and 5. If 2, 3 or 5 divide precisely into 31, then 31 is not prime. If they perform not division exactly, climate 31 is prime31 is odd and so 31 can not be split exactly through 2.31 likewise cannot be separated by 3 or 5 exactly.Therefore 31 is prime.Here is an example of deciding if 27 is prime.We try to divide by element numbers smaller than the square root of the number.We perform not understand the square root of 27 yet we recognize that 5 × 5 = 25. The square source of 25 is 5, so us will try dividing by 2, 3 and also 5.
19 can not be split by 2 since 19 is odd.19 is no in the 3 times table due to the fact that 1 + 9 = 10, which is not in the 3 times table.19 is not in the 5 times table since it does not finish in a 5 or 0.Because 19 is not divisible by 2, 3 or 5, that is a prime number. We have actually tried splitting by all of the other prime numbers less than the square root of 19.Here is 61, which end in a 1 and is one much more than 60.We know that 8 × 8 = 64, therefore we can divide 61 by every one of the prime numbers less than 8.We will certainly divide 61 by 2, 3, 5 and also 7.
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61 is odd and so, does no divide through 2 exactly.6 + 1 = 7, i m sorry is no in the three times table and also so, 61 is not in the 3 times table.61 ends in a 1. To it is in in the 5 time table, a number must finish in 5 or 0 and also so 61 is not divisible by 5.61 is no divisible through 3. You can know the 63 is 7 × 9 and also this helps united state realise that 61 is no in the 7 time table.61 is no divisible by 2, 3, 5 or 7 and so the is prime. We have actually tried dividing by all various other prime numbers the are less than the square root of 61.