Is the positive integer x divisible by each integer from 2 through 6? (1) x = 10m, where m is a positive integer divisible by each integer from 2 through 5.

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Mathematics

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6 August, 16:21

Is the positive integer x divisible by each integer from 2 through 6? (1) x = 10m, where m is a positive integer divisible by each integer from 2 through 5.

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Aaron Arellano · Answer 1

Answer: Yes

Step-by-step explanation: x = 10m and m is a positive integer divisible by each integer from 2 through 5.

A number to be divisible by 2 has to be even, as 10 and m are divisible, x is divisible by 2.

A number to be divisible by 3 has to be a multiple of 3, as m is divisible by 3, x is divisible by 3.

A number to be divisible by 4 has to be a multiple of 4, m are divisible by 4, x is divisible by 4.

A number to be divisible by 5 has to finish in 5 or 0, as 10 is divisible, x is divisible by 5.

A number to be divisible by 6 has to be divisible by 2 and 3 at the same time, as m is, x is divisible by 6.