This is a bit 'sideways' of the topic, but the discussion of factors and multiples reminded me of our work with prime numbers. My grade level colleagues liked these pages I compiled so I thought it might be helpful to others of you teaching these terms.
My students and I went through the process of figuring out which were prime numbers, discussing factors and multiples, using "The Sieve of Eratosthenes." We used a 100's grid and crossed off the multiples of the numbers as explained on this page:
Sieve of Eratosthenes- to find the prime numbers up to 100
Along with discovering prime numbers
, we learned of composite numbers
. At the same time, we explored a bit with square numbers
. Students realized that 'square numbers' form squares when made with centimeter cubes. (2x2, 3x3, 4x4, etc)
In order to help keep all the information straight, I compiled their information and made these pages (attached)
-A page with the following information:
A number with only ‘1’ and itself as a factor
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,
53, 59, 61, 67, 71, 73, 79, 83, 89, 97
The product of a number and itself
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
A number with more than 2 factors;
not a prime number
4, 6, 8, 9 10, 11, 12, 14, 15, 16, 18, etc. to 100
- 2 per page of a smaller 100 grid with the composite numbers grayed out and prime numbers left in white, with the above info in smaller size.
The larger page I enlarged for the bulletin board. The half page was distributed to each student which they each glued into their math vocabulary notebooks.