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What are the common factors of 300 and 144?
The prime factors of 144 are 2, 2, 2, 2, 3 and 3 The prime factors of 300 are 2, 2, 3, 5 and 5 So the only prime numbers which are common to both numbers are 2, 2 and 3 = 12
What factors do 18 and 42 have in common?
The prime factors of 18 are 2, 3 and 3. The prime factors of 42 are 2, 3 and 7. Thus, the prime factors which are common to both are 2 and 3. However, the usual manner of answering this sort of question is to give the greatest common factor which is common to both (or all) numbers, and not only prime factors - so as 2 and 3 are common to both numbers and as 2 x 3 = 6 the 'other' answer to the question is 6.
What are the gcf of 216 and 360?
List the numbers: 216, 360 Divide both numbers by 2, since they are both divisible by 2: 108, 180 Divide both numbers by 2 again, since they are both divisible by 2: 54, 90 Divide both numbers by 2 yet again, since they are both divisible by 2: 27, 45 Divide both numbers by 3, since they are both divisible by 3: 9, 15 Divide both numbers by 3 again, since they are both divisible by 3: 3, 5 Since 3 and 5 do not have any common factors greater than 1, we can now multiply all the numbers we divided by: 2 x 2 x 2 x 3 x 3 = 8 x 9 = 72 GCF(216, 360)=72
Numbers with 3 factors?
The squares of all prime numbers above 2 have exactly 3 factors.
Factors of 225 and 144?
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, and 225. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. Factors are numbers that can be multiplied together to give the original number, and both 225 and 144 have multiple factors due to their composite nature.
