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secondary 4 | E Maths
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Date Posted: 3 years ago
Views: 221
prime factorisation :
① divide by the smallest prime factor first.
② If divisible , try again. If not, go to the next biggest prime factor.
③ Stop when you reach 1 or you reach a prime factor.
① divide by the smallest prime factor first.
② If divisible , try again. If not, go to the next biggest prime factor.
③ Stop when you reach 1 or you reach a prime factor.
1188 ÷ 2 = 594
594 ÷ 2 = 297
397 is odd and cannot be divided by 2. So try 3.
297 ÷ 3 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 is prime so we can stop already.
So,
1188 = 11 x 3 x 3 x 3 x 3 x 2 x 2
= 2² × 3³ x 11
594 ÷ 2 = 297
397 is odd and cannot be divided by 2. So try 3.
297 ÷ 3 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 is prime so we can stop already.
So,
1188 = 11 x 3 x 3 x 3 x 3 x 2 x 2
= 2² × 3³ x 11
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