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Skip count songs are catchy tunes with fun lyrics in which the chorus is counting by a certain number. Skip counting makes a powerful connection with prime numbers. Likewise, knowing that 23 is prime means that whatever 4 x 6 is, it cannot be 23.īut how does one become familiar enough with primes to know that 29 or 23 is prime? Here are several ways. Knowing that 29 cannot be the answer to 4 x 7 will reduce the chances of making a mistake like that. Since 29 is prime, then 4 x 7 cannot be 29, since by definition the only pair of whole numbers that multiply to 29 are 1 and 29. If 29 is prime because only 1 and 29 multiply to 29, then this means that no other whole number pairs multiply to 29 - not "7 x 4" or "8 x 3" - none! So if I remember that 4 x 7 is an amount in the 20s - but I cannot remember exactly which number in the 20s - then my familiarity with primes will help me here. Hidden in this multiplication perspective on prime numbers is a valuable insight. However, 12 is not prime because 1 and 12 are not the only pair that multiply to 12 (2 and 6 do so, as well as 3 and 4). 29 is prime because 1 and 29 are the only pair of whole numbers that multiply to 29. The number 13 is prime because 1 and 13 are the only pair of whole numbers that multiply to 13. A number is prime if there are only two different whole numbers that multiply to make that number. It also helps to think about prime numbers from a multiplication perspective. Because the number 1 has so many unique properties, we simply put it off in a corner by itself, being neither prime nor composite. But 1 is also not considered composite, because composite numbers have 3 or more divisors. Third, interestingly enough, the number 1 is not considered prime, simply because it has exactly and only one divisor - the number 1. Second, every prime number greater than 2 is an odd number (3, 5, 7, 11, 13, etc.), although not every odd number is prime (9, 15, and 21 are not prime). Every even number greater than 2 is a composite number. Note three aspects of the list of prime numbers. Refer to this list for later use in the activities described below. Numbers like 4, 8, and 9 that are divisible by more than 2 whole numbers are called "composite." The number 9 can be divided by 1 and 9, but it can also be divided by 3, so 9 is not prime. The numbers 4, 6, and 8 are not prime, because as well as being divisible by themselves and 1, they each are also divisible by 2.
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Thus, 2, 3, 5, and 7 are prime numbers because they can be divided by exactly and only two different numbers - 1 and the number itself. One of my favorite such activities with higher math concepts is the investigation of prime numbers.īriefly, a prime number is a whole number that is divisible by exactly and only two different whole numbers. Often the novelty and curiosity of higher math concepts allow basic facts to be practiced in ways that are interesting and even intriguing. This list includes very exactly 5 133 distinct prime numbers.In this column, I am introducing a novel approach to the mastery of basic facts: the use of higher math to reinforce and practice basic arithmetic. This page lists all non-negative prime numbers from 0 to 50 000, ordered in an increasing fashion. List of prime numbers List of prime numbers