why is 1 always a factor of any number?
310017
Factors of a number The factors (noun) of a number are the numbers that divide evenly into the number. For example the factors of the number 12 are the numbers 1, 2, 3, 4, 6 and 12. (Notice that the smallest factor is always 1 and the biggest factor is always the number itself.)
930768
Both 11 and 5 are prime numbers, i.e. they only have themselves and 1 as factors. So the only common factor they have is 1.
1293198
The quickest way to find the factors of a number is to divide it by the smallest prime number (bigger than 1) that goes into it evenly with no remainder. Continue this process with each number you get, until you reach 1.
448390
A prime number has exactly two factors so 1 isn't prime. A composite number has more than 2 factors, so 1 isn't composite.
1460689
So, for example, 3 is a factor of 12 because 3 is a counting number and it can be multiplied by 4 to make 12. Again 3 is a factor of 12 because 3 divides 12 without leaving a remainder.
1062932
The numbers 0 and 1 are neither prime nor composite. They are too special because they represent nothingness (zero) and wholeness (one), so the idea of having factors for 0 and 1 does not make sense. ... For example, all even numbers are divisible by two, and so all even numbers greater than two are composite numbers.
711956
1 is a divisible of every number i.e it divides every number. So, 1 is the number which is a factor of every number.
911995
Answer : 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49, Related Links : What are the factors of 1?
588461
If a number has exactly two factors, 1 and itself, the number is a prime number. A number that has more factors than itself and 1 is called a composite number. The number 1 is considered neither prime nor composite, as its only factor is 1.
97734
Factors are numbers that can be multiplied together to make another number. For example, 3 and 12 are a factor pair of 36. Prime numbers are numbers that have exactly two factors, 1 and itself (i.e. 2, 3, 5, 7, 11,....).
548887
23 is therefore a prime number. If it had 3 or more factors it would be composite. 1 is the only number which has 1 factor - it is neither prime nor composite. The number 23 , has only two factors ( 1 and itself), meaning that it is a prime number - not composite.
1224325
A factor is a number that divides into another number exactly and without leaving a remainder. Most numbers have an even number of factors; however, a square number has an odd number of factors. A prime number has only two factors - the number itself and 1.
179198
Well, it's the only number which can be multiplied by any other number without changing that other number. ... So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
1095876
A prime number can only be divided by 1 or itself, so it cannot be factored any further! Every other whole number can be broken down into prime number factors. It is like the Prime Numbers are the basic building blocks of all numbers.
1292512
To see this, start with the factors of 1. ... Zero is not a factor of any non-zero number because n/0 is undefined for any number other than zero. All integers other than zero are factors of zero because 0n = 0 for all numbers.
205581
All even numbers have two as a factor. That means that any set of even numbers will have at least a two as a common factor. Since 2 will be a part of the greatest common factor, it will have to be even.
1188518
Natural numbers that have more than two positive factors are called composite . 1 has only one positive factor i.e. no. 1 only. Hence 1 is neither prime nor composite.