PATTERNS in multiplication (skip-counting/repeated addition) generate RULES that can be used to analyze other (larger) numbers.
When counting by 2s, all multiples have a 2, 4, 6, 8, or 0 in the ONES place.
When analyzing large, multi-digit numbers, the digit in the ONES place tells us it's EVEN and therefore, divisible by 2.
When counting by 5s, all multiples have a 5, or 0 in the ONES place.
When analyzing large, multi-digit numbers, the digit in the ONES place tells us it's divisible by 5.
When counting by 10s, all multiples have a 0 in the ONES place.
When analyzing large, multi-digit numbers, the digit in the ONES place tells us it's divisible by 10.
When counting by 2s, all multiples have a 2, 4, 6, 8, or 0 in the ONES place.
When analyzing large, multi-digit numbers, the digit in the ONES place tells us it's EVEN and therefore, divisible by 2.
When counting by 5s, all multiples have a 5, or 0 in the ONES place.
When analyzing large, multi-digit numbers, the digit in the ONES place tells us it's divisible by 5.
When counting by 10s, all multiples have a 0 in the ONES place.
When analyzing large, multi-digit numbers, the digit in the ONES place tells us it's divisible by 10.