Q:

There are 100 members in the U.S senate. There are 435 members in the U.S house of representatives. If the total number of U.S senators divisible by 2,3,4,5,6,9, or 10?

Accepted Solution

A:
Answer:100 is divisible by 2, 4, 5, or 10435 is divisible by 3 or 5535 is divisible by 5Step-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 = 3A 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.__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._____The other factor of 435 is 29, a prime; the other factor of 535 is 107, a prime.