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Genrish500 [490]
3 years ago
8

How many of the positive divisors of 2160 are multiples of 3?

Mathematics
1 answer:
TEA [102]3 years ago
5 0
30 of the divisors are multiples of 3

The factors of 2160 are 1, 2160, 2, 1080, 3, 720, 4, 540, 5, 432, 6, 360, 8, 270, 9, 240, 10, 216, 12, 180, 15, 154, 16, 135, 18, 120, 20, 108, 24, 90, 27, 80, 30, 72, 36, 60, 40, 54, 45, 48
These are all divisors of 2160 but only 30 are multiples of 3.
The ones that are NOT are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80

You can also do this using prime factors 2x2x2x2x3x3x3x5 = 2160 but it is harder to explain.
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Answer: One solution.

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2 years ago
The sum of 6 even integers is 130 what is the 2nd number in the sequence
castortr0y [4]

Answer:

The 2nd number in the sequence is 2\left(\frac{100}{12}\right)+2

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

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<u>Step-by-step explanation:</u>

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