find the prime factorisation of the following .
a) 375
b) 1080
Answers
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Answer:
prime factorization of
Step-by-step explanation:
A.Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 375 by 2
375 ÷ 2 = 187.5 - This has a remainder. Let's try another prime number.
375 ÷ 3 = 125 - No remainder! 3 is one of the factors!
125 ÷ 3 = 41.6667 - There is a remainder. We can't divide by 3 evenly anymore. Let's try the next prime number
125 ÷ 5 = 25 - No remainder! 5 is one of the factors!
25 ÷ 5 = 5 - No remainder! 5 is one of the factors!
5 ÷ 5 = 1 - No remainder! 5 is one of the factors!
The orange divisor(s) above are the prime factors of the number 375. If we put all of it together we have the factors 3 x 5 x 5 x 5 = 375. It can also be written in exponential form as 31 x 53.
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