Write the prime factorisation of the following using exponential method"
a. 1242
b. 811
c. 9600
d. 161051
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Answer:
Step-by-step explanation:
a) 1242 = 2 * 621
= 2 * 3 * 207
= 2 * 3 * 3 * 69
= 2 * 3 * 3 * 3 * 23
=2^1 * 3^3 * 23^1
b) 811 = 1 * 811
= 1^1 * 811^1 ( 811 is a prime factor )
c) 9600 = 2 * 4800
= 2 * 2 * 2400
= 2 * 2 * 2 * 1200
= 2 *2 * 2 * 2 *600
= 2 * 2 * 2 * 2 * 2 * 300
= 2 * 2 * 2 * 2 * 2 *2 * 150
= 2 * 2 * 2 * 2 * 2 * 2 *2 * 75
= 2 * 2 * 2 * 2 * 2 * 2 *2 * 3 * 25
= 2 * 2 * 2 * 2 * 2 * 2 *2 * 3 * 5* 5
= 2^7 * 3^1 * 5^2
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