What is Prime Factorisation?
It is the multiplication of a number as the product of prime factors.
Explanation:
Find the prime factorisation of 12.
Step 1:
List all the factors of 12.
Number

Factors

12

1 , 2 , 3 , 4 , 6 , 12

Step 2:
Which factors of 12 are prime numbers?
1 , 2 , 3 , 4 , 6 , 12
Step 3:
Use only prime factors of 12 and do the downward division or upsidedown division to divide 12 as follows;
Step 4:
Now write the multiplication with the product of 12.
12 = 2 x 2 x 3
The answer can also be written with an exponent which is the shorthand for repeated multiplication.
2 is repeated twice in the above multiplication. So we also can write the answer as follows;
Prime factorisation of 12 is;
12 = 2^{2} x 3
Written By : admin
July 26, 2014
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