Tag: divisibility rules

Pre-Algebra & Math Basics: Divisibility Rules

In the math video, divisibility rules is covered. Divisibility rules are shortcuts that allow us to quickly figure out if a number divides evenly into another whole number. This skill can be used for reducing fractions, finding factors of numbers, finding the GCF, factoring polynomials, simplifying square roots and much more. Most students know the divisibility rule for 2 (the number must be even), the rule for 5 (the number must end in 0 or 5) and the rule for 10 (the number must end in 0). I cover all the divisibility rules from 1 to 10. Without using a calculator, you will be able to easily tell for example, if 3 divides evenly into 1,232,251 or if 4 divides evenly into a number like 5,385,414.

This topic is usually covered one time in middle school, and then it is never covered again. Some school systems never cover the topic at all, which I think is ridiculous. All of the rules can be proven algebraically through modular arithmetic, which is an area of mathematics that is usually only covered in math competitions or accelerated math classes. We will simply cover the shortcuts.

We cover the following problems in the video:

→ Are 8 and 5397 divisible by 1?
→ Are 3516 and 2847 divisible by 2?
→ Are 24, 6702 and 3335 divisible by 3?
→ Are 5916, 7508, 4442, 61592 and 37900 divisible by 4?
→ Are 4830, 1965 and 50502 divisible by 5?
→ Are 2574, 9128, 4920 and 5133 divisible by 6?
→ Are 364, 717, 105 and 3546 divisible by 7?
→ Are 4800, 39056, 6009, 17078, 450388 and 21000 divisible by 8?
→ Are 36, 7425 and 9199 divisible by 9?
→ Are 9170, 1005 and 80002 divisible by 10?

Below is the video. Enjoy!

Feel free to provide comments or math topic suggestions to nathaniel@mathonthefly.com. Your feedback is always appreciated!