Number Theory
# Number Theory Warmups

If all integers are colored in the same pattern as the numbers in this grid, what color is 1234?

**multiply** a blue number by an orange number, what color will the product be?

**Note:** Assume that *all* integers are colored according to the same pattern as the numbers in the grid.

**add** a blue number to a yellow number, what color will the sum be?

**Note:** Assume that *all* integers are colored according to the same pattern as the numbers in the grid.

**multiply** a green number by a yellow number, what color will the product be?

**Note:** Assume that *all* integers are colored according to the same pattern as the numbers in the grid.

$8 \times 17 \, ?$

What color is**Note:** Assume that *all* integers are colored according to the same pattern as the numbers in the grid.