Help .. Mathematics Problem ...?

Question

Help Please

.... Can tell me what is this
1) Prime Factor
2) Factor
3) Prime Number
4) LCM
5) HCM

Thank You A Lot !

Answer 1

Let me start with the definition of a factor. Let's consider something easy- a linear expression,
(ab + ac)
you can see that the term (or rather factor), a is a coefficient of both terms within the expression. So with the commutative property of multiplication,
(ab + ac) = a*(b+c)
that is to say a is a factor.
If you consider a number, say 64, you can see that 2 divides it with no remainder. Then 2 is said to be a factor of 64.
This is because,
64 = 2*32

Now for prime factors. A Prime Number is a number such that it only has itself and 1 as factors. As you can see 1 is a factor of any number from the above definition.
Let's take 2, its factors are 1 and 2 as only 1*2 = 2 when working with integers.
So primes are basically the building blocks of the integers. By its definition then, if a number is not a prime itself, it would have to be made up of a finite number of prime factors.
Take 12,
12 = 2*2*3
both 2 and 3 are prime and are the prime factors of 12.

Now for LCM, it stands for lowest common multiplier. The easiest way to consider this is through application.
Consider the sum of a few fractions,

1/2 + 1/3 + 1/6
as you can see you can't add these like 1/2 + 1/2 = 2/2 =1 because the denominators aren't equal.
Note that 6 has both 2 and 3 as factors and 6 itself is its factor. Then we can say
1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6
now if you simplify these fractions you get the same as the left hand side. So this is further equal to,
(3+2+1)/6 = 6/6 = 1

A highest common factor/multiplier or HCF/HCM is the largest factor in a numerical sequence, such that once taken out the numbers have no common factors among them. i.e. they are coprime.
e.g. take 12 , 18 and 30
as one might observe 6 is a factor of all three numbers.

that is 12 = 2*6
18 = 3*6
30= 5*6
since 2,3 and 5have no common factors, 6 is the highest common factor of 12, 18 and 30

Hope this helps!!!

Answer 2

the prime factors of a positive integer are the prime numbers that divide into that integer exactly, without leaving a remainder
Factor :A divisor of a particular number
Prime Number:In mathematics, a prime number is a natural number that has exactly two natural number divisors
The first 30 prime numbers 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, 97, 101, 103, 107, 109, and 113
i copied from my book...i know it but i cant explain its properly...hope u understand that

Answer 3

a prime number can only be divided by itself and 1.

eg 1 3 5 7 9 11 13 17

6 is not one because it can be divided by 6, 3, 2, and 1

cant remember the others. lol

hope this helps.

Answer 4

1) is a factor that is a prime. for instance 5 is a prime factor of 125

2) a number is composed of factors : 14 is a factor of 28

3) Prime number : number that is only divisible by 1 and itself. 5 is a prime number.

4) no idea

Answer 5

prime number is the number which is only divisible by itself
lcm is the lowest common multiple
hcf is the highest common multiple

Answer 6

5 id highest common multiple n 4 is lowest common multiple