7 + 4 + 1 = 12 which is divisible by 3, so 741 is divisible by 3
741 is odd, all multiples of 4 are even, 741 is not divisible by 4
(Alternatively 4 x 2 + 1 x 1 = 9 which is not divisible by 4, so 741 not divisible by 4)
All multiples of 5 end with 5 or 0, 741 ends with 1, so 741 not divisible by 5
To be divisible by 6, the number must be divisible by 2 (even) and divisible by 3.741 is odd, so not divisible by 2, so 741 is not divisible by 6
7 + 4 + 1 = 12 which is not divisible by 9, so 741 is not divisible by 9
All multiples of 10 end with 0, 741 ends with 1 so 741 is not divisible by 10
Summary:
741 is divisible by 3, but not by 4, 5, 6, 9 nor 10.
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Out of that list, 40 is divisible by 2, 4, 5, 8 and 10.
To determine if 475 is divisible by 2, we check if it is an even number - it is not, so it is not divisible by 2. To check for divisibility by 3, we add the digits (4+7+5 = 16) and see if the sum is divisible by 3 - it is not, so 475 is not divisible by 3. For 5, we check if the last digit is 0 or 5 - it is not, so it is not divisible by 5. For 4, we look at the last two digits (75) and check if they form a number divisible by 4 - they do not, so 475 is not divisible by 4. Lastly, for 10, we check if it ends in 0 - it does not, so 475 is not divisible by 10.
2463. The trick is that a number is divisible by 3 if and only if the sum of its digits is divisible by 3. 1+3+2+4 = 10 (not divisible by 3), while 2+4+6+3 = 15 (divisible by 3).
A number that is divisible by 2, 3, 4, 5, and 10 must be divisible by the least common multiple of these numbers, which is 60. Therefore, any number that is a multiple of 60 will be divisible by 2, 3, 4, 5, and 10. This is because 60 is the smallest number that contains all the prime factors of 2, 3, 4, 5, and 10.
Oh, dude, let's break it down. So, 712 can be divided by 2 because it's even. It can also be divided by 4 because if it's divisible by 2, it's also divisible by 4. But, like, it's not divisible by 3, 5, 6, or 10. So, you can totally divide it by 2 and 4, but the others are a no-go.