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Topic: **Prime factor homework****Question:**
for maths homework i dont have a clue what the prime factors of these number are :
what is the prime factors of:
20
45
64
88
360

July 17, 2019 / By Dianne

20 ^ 2*10 ^ 2*5 2^2*5 45=5*3^2 64=2^6 88=11*2^3 360=2^38583^2

👍 144 | 👎 8

Did you like the answer? We found more questions related to the topic: **Prime factor homework**

By using utilizing the Pythagoras theorem theorem, AC^2 = AB^2 + BC^2 => (x + four)^2 = x^2 + (x + 2)^2 increase => x^2 + 8x +16 = x^2 + x^2 + 4x + four addition and subtraction => x^2 - 4x -12 =0

The theory behind this question is that the Least Common Multiple is itself a natural number and has its own analysis in prime factors as well. Quite obviously, its prime factors will be chosen from the ones available in the given numbers! And since we're talking of a multiple, each prime factor will appear in the LCM too, in the highest exponent available (this guarantees two things: (a) that the LCM is indeed a common multiple of all, because we consider every prime in its highest exponent and (b) that it's indeed the least possible such common multiple, because we don't exaggerate on the exponents but take exactly what's needed to make it work for each number). In your case, the per number analysis is as follows: 3 = 3^1 9 = 3^2 12 = 2^2 * 3^1 18 = 2^1 * 3^2 So the available primes are 2 and 3. The highest available exponent for 2 is 2 (as it appears in 12), so 2^2 is the "2-part" of the LCM. The highest available exponent for 3 is also 2 (as it appears in 9 or 18), so 3^2 is the "3-part" of the LCM Therefore, the LCM is 2^2 * 3^2 = 36 As a side note - the same procedure can be used to derive the Greatest Common Divisor. In that case, you pick the smallest available exponent for each prime (if a prime doesn't appear in one of the numbers, then its exponent is considered 0 and obviously won't be part of the GCD).

21 = 3 x 7 35 = 5 x 7 consumer-friendly element = 7 LCM = 3 x 5 (no longer consumer-friendly) x 7 (as quickly as purely for consumer-friendly factors) = a hundred and five 646 and 561 646 = 2 x 7 x 7 x 7 561 = 3 x 3 x 3 x 3 x 7 LCM = 646*561 / HCF HCF = 7 LCM = 646*561 / 7 = 646*80 one = 52326 LCM 18, 40 5 18 = 2 x 3 x 3 40 5 = 3 x 3 x 5 HCF = 3 x 3 = 9 LCM = 18*40 5 / 9 = 2*40 5 = ninety

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