Here, we need to find the GCF of 12 and 812812 . So lets list the factors:
12: 1, 2, 3, 4, 6, 12
812812 : 1, 2, 4, 7, 11, ...
From here, we can see that they both have 4. So you can make 4 batches of trail mix.
- If find the factors of 812812 is difficult, here's another way:
1. Look at the factors of 12: 1, 2, 3, 4, 6, 12
2.Using the divisibility rules, see if 2,3,4,6, or 12 is one of 812812's factors.
3.From just looking at 812812, we can see that 12 and 812812 both have 2 as a common factor. * Because to see if a number is divisible by 2, the rule is that the last digit of the number is even. *
4. To see if 812812 is divisible by 3, let's use the divisibility rule for 3. Which is : * add the digits of the number up and see if it's divisible by 3. * (8+1+2+8+1+2) = 22. Thus, 812812 is not divisible by 3
5. Let's now try 4. The divisibility rule for 4 is if the last two digits are divisible by 4, * or if the last two digits are zeros . Now take a look at 812812. 812812's last two digits is 12. We know that 12 is divisible by 4, so that means 812812 is divisible by 4.
6. Continue the steps above for 6,12
...
In the end, we see that 4 is the GCF of 12 and 812812 . So you can make 4 batches.
