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The list of factors of a number is a list of numbers that divide evenly into it. A list of multiples of a number is just a list of numbers that the first number divides.

Example

Factors of 6: 1,2,3,6

Multiples of 6: 6,12,18...

Q: What is the difference between listing the factors and listing the multiples of a number?

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LCM is 40, which is the multiple of the highest power of prime factors in the given numbers (23 x 5).

To find the smallest number that has 1, 2, 3, 4 and 5 as factors, you're looking for the least common multiple, or LCM, of those numbers. You can find that by listing the multiples of each number but it's faster to combine their prime factors. You need two twos, a three and a five. 2 x 2 x 3 x 5 = 60

The 4 factors of 26 are 1, 2, 13, and 26.The factor pairs of 26 are 1 x 26 and 2 x 13.The proper factors of 26 are 1, 2, and 13 or,if the definition you are using excludes 1, they are 2 and 13.The prime factors of 26 are 2 and 13.The 2 distinct prime factors (listing each prime factor only once) of 26 are 2 and 13.The prime factorization of 26 is 2 x 13.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.

The prime factors of 42 are 2, 3, 1 and 7.The 3 distinct prime factors (listing each prime factor only once) of 42 are also 2, 3, and 7.The prime factorization of 42 is 2 x 3 x 7.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.Factor Tree422, 212, 3, 7Last edit by User: Gracegriffiths.

Example: 30 and 42 1,2,3,5,6,10,15,30 1,2,3,6,7,14,21,42 The GCF is 6.

Related questions

The factor list will be finite, the multiple list will be infinite.

To find the GCF or the LCM of a set of numbers, it is sometimes practical to write out lists of the factors or multiples as the case may be and compare them. This is known as the listing method.

To find the GCF or the LCM of a set of numbers, it is sometimes practical to write out lists of the factors or multiples as the case may be and compare them. This is known as the listing method.

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Not normally.

LCM is 40, which is the multiple of the highest power of prime factors in the given numbers (23 x 5).

The difference is between factor pairs and distinct factors. With square numbers, one of the factor pairs will be the same number twice. When listing the distinct factors, that number is only listed once.

6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,19811,22,33,44,55,66,77,88,99,110,121,132,143,154,165,176,187,19818,36,54,72,90,108,126,144,162,180,198

The lowest common multiple of those two numbers is 24, if that's what you're asking. If not, try listing all the multiples of 8 and 3 until you find a common one.

24

Unless a specific number is called for, three common multiples are enough to establish a pattern. For example, the common multiples of 4 and 6 are 12, 24, 36 and so on.

need more than one number an LCM..