Answer:
- 100 is divisible by 2, 4, 5, or 10
- 435 is divisible by 3 or 5
- 535 is divisible by 5
Step-by-step explanation:
A number is divisible by 2 if its units digit is even. {0, 2, 4, 6, 8}
"Casting out 9s" is the process of summing digits, repeatedly, until a number 9 or less is obtained. For 435, that process results in ...
4 + 3 + 5 = 12; 1 + 2 = 3
A number is divisible by 3 if the result of casting out 9s is divisible by 3. {3, 6, 9}
A number is divisible by 4 if its last two digits are divisible by 4.
A number is divisible by 5 if it ends in 0 or 5, and is divisible by 10 if it ends in 0.
A number is divisible by 6 if it is both even and divisible by 3.
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The number 100 is divisible by 2, 4, 5, and 10.
The number 435 has a sum of digits of 3, so is divisible by 3 and 5.
The sum of these numbers, the total number of members of Congress, 535, is divisible by 5 only.
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The other factor of 435 is 29, a prime; the other factor of 535 is 107, a prime.
