Prime factors

Let Us Learn About Prime factors

Prime Factorization is the process of find which prime numbers you need to multiply together to get the original number. The process of find this number is called integer factorization, or prime factorization. Prime number does not have any factors apart form itself and 1, but 1 is not a prime number.

The prime numbers 30 are thus 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. A factor which is a prime number is called prime factor. All number can be expressed as a product of prime numbers.

If a number has only two different factors, 1 and itself, then the number is said to be a prime number.

For example, 31 = 1 × 31

31 is a prime number since it has only two different factors.

1= 1x1

But 1 is not a prime number since it does not have two different factors.

For example :

Factors of 14 are 1, 2, 7 and 14, out of these 2 and 7 are prime numbers; thus, 2 and 7 are prime factors of 14.

Also, 14 = 2x7

In the same way :

(i)Prime factors of 15 are 3 and 5; and 15 = 3x5 [here we need to break each given numbers i.e. 15 into its prime factor 3 and 5]

(ii)Prime factors of 42 are 2, 3 and 7; and 42 = 2x3x7 [here we need to break each given numbers into its prime factor]

(iii)Prime factors of 10 are 2 and 5; and 10 = 2x5 [here we need to break each given numbers into its prime factor]

Repeated Prime Factor :

Since, 8 = 2 x 2 x 2; 2 is said to be repeated prime factor of 8.

A number can have two or more different repeated prime factors.

(i)36 = 2 x 2 x 3 x 3[here we can observe that in the factor of 36 two different repeated prime numbers 2 and 3]

Therefore, the prime factors of 36 are 2,2,3 and 3.

(ii)108 = 2 x 2 x 3 x 3 x 3 [here we can observe that in the factor of 108 two different repeated prime numbers 2 and 3]

Therefore, the prime factors of 108 are 2,2,3,3 and 3.

(iii)225 = 3 x 3 x 5 x 5 [here we can observe that in the factor of 225 two different repeated prime numbers 3 and 5]

Therefore, the prime factors of 225 are 3,3,5 and 5.

(iv)100 = 2 x 2 x 5 x 5 [here we can observe that in the factor of 100 two different repeated prime numbers 2 and 5]

Therefore, the prime factors of 100 are 2,2,5 and 5.

Keep reading and leave your comments

Properties Of Addition

Let Us Learn About Properties Of Addition


Commutative Property
Associative Property
Additive Identity Property
Distributive Property

Commutative Property:

When two numbers are to be added, the sum will be same value of an order with the addends.

Example: 9 + 6 = 6 + 9

a+b = b+a

Associative Property:

When three or more numbers are to be added, the sum will be same value of a group associate for addends.

Example: (2 + 8) + 9 =9+ (8 + 2)

(a+b) + c = c + (a+b)

Additive Identity Property:

The sum of any number with a zero is any number.

Example: 9 + 0 =3

a+ 0 = a

Distributive Property:

Distributive property, for the two numbers operators with whole will be same when the operator done with distributive.

Example: 4 * (2 + 6) = 4*2 + 4*6

a * ( b +c ) = a* b + a*c = ab+ac

We shall learn about subtraction in our next blog and properties of subtraction.

Radicals

Let Us Learn About Radicals.

what is Radical?

A radical is important topic from mathematics subject. A radical number is known as, which number is the factor value of under the root symbol. A radical expression is containing a square root. Radical is denoted by the symbol of √ (Sqrt). That is used to denote square root; and also it is called as n^th root. Now we are going to see about explain are radicals math.

Radicals is a form of symbol which is used in the mathematics. It is shown that the radical symbol as root "√". The number inside the radical symbol which is called as the radicand of the radical value, for example if the given value is square root of √x. The x is called as the radicand which is the number inside the radical symbol root "√". There are more number of rooting methods available depending upon the value we have. The roots are square root √x, cube root 3√x, Fourth root 4√x this up to nth root n√x . Here we are going to see about the math radicals solver in different methods and the solved example problems on it.

Now let us understand properties of Radicals.

Properties of Radicals

• Product Property of Radicals: For two real numbers x and y both nonnegative, √xy = √x X √y
• Quotient Property of Radicals: For two real numbers x and y both nonnegative, =√x/y = √x/√y
  

Radical is also known as surds these are the roots. For example square roots, cube roots etc.

Square root

The square root of a number x is that number which when multiplied by itself gives x as the product.

We denote the square root of a number x by √x.

The symbol is denoted by √.

As we know that square of 4 is 16, then we can also say that square root of 16 is 4.

Let us learn with some examples.

1) √4

= √2*2 [here you can see that 2 is in pairs so take the 2 out of the pair, then square root of 4 is 2]

= 2

2) √9

= √3*3 [here you can see that 3 is in pairs so take the 3 out of the pair, then square root of 9 is 3]

= 3

3) 256

= √16*16 [here you can see that 16 is in pairs so take the 16 out of the pair, then square root of 256 is 16]

= 16

Hope you you understood meaning of Radicals.Please try to solve some problems on properties of Radicals.