what is the difference between common factor and common multiple?
Answers
Answer:
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Step-by-step explanation:
Factors
"Factors" are the numbers we can multiply together to get another number:
in 2x3=6, 2 and 3 are factors
2 and 3 are factors of 6
A number can have many factors.
Example: 12
3 × 4 = 12, so 3 and 4 are factors of 12
Also 2 × 6 = 12, so 2 and 6 are also factors of 12,
And 1 × 12 = 12, so 1 and 12 are factors of 12 as well.
AND because multiplying negatives makes a positive, −1, −2, −3, −4, −6 and −12 are also factors of 12:
(−1) × (−12) = 12
(−2) × (−6) = 12
(−3) × (−4) = 12
Multiples
A multiple is the result of multiplying a number by an integer (not a fraction).
Example: Multiples of 3:
Multiples of 3: ..., −9, −6, −3, 0, 3, 6, 9, ...
..., −9, −6, −3, 0, 3, 6, 9, ...
Example: 15 is a multiple of 3, as 3 × 5 = 15
Example: 16 is not a multiple of 3
Example: Multiples of 5:
Multiples of 5: ..., −15, −10, −5, 0, 5, 10, 15, ...
..., −15, −10, −5, 0, 5, 10, 15, ...
Example: 10 is a multiple of 5, as 5 × 2 = 10
Example: 11 is not a multiple of 5
So ALL the factors of 12 are:
1, 2, 3, 4, 6 and 12
AND −1, −2, −3, −4, −6 and −12
Answer:
the common number which divides the numbers is called common factor . the common number which is divided by the numbers is called common multiples.
Step-by-step explanation: