Number Theory Concepts

noun a mathematical term referring to the smallest common multiple of two or more numbers

• The least common multiple of 6 and 8 is 24.
• To find the least common multiple, just multiply the numbers together.
• The LCM of those two numbers is basically just the smallest number they both go into evenly.
• In order to work together efficiently, we need to find the least common multiple of our schedules.

noun A word that represents a person, place, thing, or idea. In this case, 'number' is a noun referring to a mathematical quantity.

adjective A word that describes or modifies a noun. In this case, 'deficient' is an adjective describing the type of number.

• A deficient number is a number that is greater than the sum of its proper divisors.
• If a number is bigger than the sum of its factors, it's called a deficient number.
• A deficient number is like when you have less money than you owe - not enough to cover it all.
• In life, feeling like a deficient number can be discouraging, but it's important to remember our worth is not defined by external measures.

noun a number that is equal to the sum of its proper divisors, excluding itself

adjective describing the quality of being exact or without fault

• A perfect number is a positive integer that is equal to the sum of its proper divisors, excluding itself.
• A perfect number is a cool math thing where the number equals the sum of its divisors.
• Dude, did you know about perfect numbers? They're like, totally awesome!
• In a world of imperfect numbers, a perfect number shines like a rare gem.

noun A word that represents a person, place, thing, or idea. In this case, 'number' is a noun as it represents a quantity or value.

adjective A word that describes or modifies a noun. 'Perfect' is an adjective that describes the type of square number.

• A perfect square number is a number that can be expressed as the product of an integer with itself.
• Hey, did you know that 25 is a perfect square number because it can be written as 5 times 5?
• Dude, 64 is like the ultimate perfect square number, it's 8 squared!
• In the puzzle, finding the missing perfect square number felt like discovering the final piece of the puzzle.

noun Axiom - a statement or proposition that is regarded as being established, accepted, or self-evidently true

• The addition axiom states that for any real numbers a, b, and c, the sum of a and b is equal to the sum of b and a.
• Basically, the addition axiom just means that you can add numbers in any order and still get the same result.
• The addition axiom is like the 'commutative property' of addition - it doesn't matter which order you add the numbers in.
• Think of the addition axiom as a rule that says you can rearrange the numbers you're adding without changing the final answer.