prime factorisation method of 9216
Answers
The Prime Factor Are
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- The prime factors are: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3. or also written as { 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3 }
- Written in exponential form: 2¹ⁿ x 3²
Information About Prime Factorisation Method
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- Divide the number by the smallest prime.
- Continue dividing by that prime until it no longer divides evenly.
- Continue dividing by that prime until it no longer divides evenly.Divide by the next prime until it no longer divides evenly.
- Continue dividing by that prime until it no longer divides evenly.Divide by the next prime until it no longer divides evenly.Continue until the quotient is a prime.
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Answer:
the answer is
Step-by-step explanation:
Let's start by dividing 9,216 by 2
9,216 ÷ 2 = 4,608 - No remainder! 2 is one of the factors!
4,608 ÷ 2 = 2,304 - No remainder! 2 is one of the factors!
2,304 ÷ 2 = 1,152 - No remainder! 2 is one of the factors!
1,152 ÷ 2 = 576 - No remainder! 2 is one of the factors!
576 ÷ 2 = 288 - No remainder! 2 is one of the factors!
288 ÷ 2 = 144 - No remainder! 2 is one of the factors!
144 ÷ 2 = 72 - No remainder! 2 is one of the factors!
72 ÷ 2 = 36 - No remainder! 2 is one of the factors!
36 ÷ 2 = 18 - No remainder! 2 is one of the factors!
18 ÷ 2 = 9 - No remainder! 2 is one of the factors!
9 ÷ 2 = 4.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number
9 ÷ 3 = 3 - No remainder! 3 is one of the factors!
3 ÷ 3 = 1 - No remainder! 3 is one of the factors!
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