Well, isn't that just a happy little challenge! You can add 1, 4, 8, and 9 together to get 22. Then, multiply that by 4 to get 88. Finally, add 9 to reach 97, and then just add 3 more to make it a perfect 100! Just like that, you've created a beautiful mathematical masterpiece.
Chat with our AI personalities
9 squared = 81
4 squared = 16
(81)(16) = 1296
(1296)(8) = 10368
sq. root of 10368 = 101
101 - 1 = 100
The common factors are: 1, 2, 4
1 + 2 + 4 + 5 + 10 + 20 + 25 + 50 + 100 = 217
You can do it with two (36 + 64) you can do it with three if you include zero but there aren't three distinct square numbers that add up to 100 in that range. 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
All the numbers up to 100 are factors in some numbers up to 100. For example, 1 is a factor of every number and 2 is a factor of all the even numbers. The numbers greater than 50 are only factors of themselves among the numbers up to 100, 95 is only a factor of itself, because the next number for which it is a factor is 190, which is greater than 100.
1, 2, 4, 8, 16