Primes

Have you ever noticed some numbers always divide with fractions over and yet others dived evenly? Any number that divides with fractions over is called a prime. Including one, these numbers happen to be two, three, five seven and nine. the others four, six, eight and ten divide with no fractions called composites. We can see clearly in the answer columns of children's time tables they are all exclusively composite numbers.

The arithmetic has intrigued mathematicians for centuries. If we take zero asking ourselves how many go into itself since zero is nothing anyway is represented by the number zero. 

In digital electronic arithmetic dividing zero into zero is represented as a electronic signal for an electronic signal for one. Dividing one by one is an arithmetic signal to reset the one back to zero. It is the basics of binary ( meaning two or pare ). The arithmetic sets zero to a one reset back to zero in a endless resetting of zero and one sequences. In other words zero plus zero is a signal to change the zero to one. The same is true for zero times zero, zero dived zero, or zero takeaway zero constantly resetting zero back to one and the one back to zero.

Mathematicians have been intrigued with the number one for a long time. It is because it divides into all numbers both composite and primes. We can see this when ask our mathematical instinct how many ones go into one. Our instinct in such matters knows there is only one one. How about the same question into a prime such as three? Our math's instinct tells us of course there are three ones in three. 

The same is true with any composite. Our arithmetic instinct knows by asking ourselves how many ones go into four. Of course four ones are four. We can apply our keen instinct by asking how many fours go into four?  Our instinct tells us obviously one four. The same is true with the rest of the composites. Thus one goes evenly in both prime and composites. The arithmetic doesn't lie you know. Obviously not just for primes but all numbers.

We can apply our mathematical instinct asking ourselves what is half of four. Our mathematical instinct says of course we get two. Our instinct tells us obviously two two's are four. However if we ask the same question with a prime like five we have a fraction over. The same is true to all primes. If we take a composite like ten we can ask how many, two's ( a prime ) go into it. The arithmetic instinct tells us because five ( a prime ) two's ( the secondary prime ) are ten because obviously two fives is ten. We can't do this with primes. Check the arithmetic on a children's time table chart.

If we take the composite number ten from a times ten table dived in half is dividing by two discovering two is a prime. We discover though we can dived two in half that is one. Our mathematical instinct  notices as far as we can dived the composite evenly. The same rule applies to any and all of the rest of the sums in the entire tables. Other wise always a fraction over. If we take three seven's are twenty one ( a composite ) three and seven are the prime factors that add up to the composite. This is true for every sun in the tables. To prove this check out three three's are nine. Nine is a composite because it can be divided by another prime ( three ) with out a fraction over.

Playing round with the children's time table charts we discover we cannot dived evenly any further because we had found prime factors involved in the sum. The children's times table is a double composite number sequences. Take the times two table. In numerical order sequence in the answer column, two zeros are two. two ones are two, two three's are six, two four's are eight, two fives are ten and so on. The same is true with every table.  

If we try the same with three digit composites the arithmetic rules apply. We will discover applied to four digit numbers works just as well. We can apply to five, six, seven, eight, nine, ten, eleven.......digit long numbers and we finding the prime factors. The only difficulty is such big numbers. There is no limit to the number of digits in a number twenty five, thirty, fifty, a hundred, thousands ten thousand digit numbers even trillion digit long number.