When a number is divisible by 8, it means that when you divide that number by 8, there is no remainder. However, this also tells us about other numbers that the number will be divisible by.
The key concept here is that 8 can be factored into smaller divisors. The prime factorization of 8 is 2 x 2 x 2, which indicates that any number divisible by 8 must also be divisible by all factors of 8. Specifically, these factors include:
- 1
- 2
- 4
- 8
This means if you have a number that is divisible by 8, it will also be divisible by 1, 2, and 4. For example, if you take the number 24, which is divisible by 8, you can see that:
- 24 ÷ 1 = 24
- 24 ÷ 2 = 12
- 24 ÷ 4 = 6
- 24 ÷ 8 = 3
In summary, any number divisible by 8 will also be divisible by 1, 2, and 4. Understanding these relationships between divisibility helps in various areas of math, including simplifying fractions and finding common denominators.