Number Properties Flashcards
Free number properties flashcards covering commutative, associative, distributive, identity and inverse properties, plus even, odd, prime, composite, factors and multiples. Flip each card, say the answer first, then mark what you know and drill what you miss.
Keys: Space or Enter flips, arrow keys move, K marks known, R marks review. No sign-up and nothing is stored.
How to study with these number properties flashcards
- Read the front of the card and say or write your answer before you flip it.
- Flip the card, then mark I know this only if you were right without hesitating.
- Mark Review again for anything you missed, then use Review missed only to drill those cards.
- Pick one topic at a time, then shuffle all topics for a mixed review.
Study tips for number properties
Do short rounds of 10 to 15 cards. Say the answer out loud before you flip, then use Review missed only until the pile is empty. Come back the next day: spacing your practice beats one long session.
All 36 cards at a glance
Every card is also listed below so you can scan, print or review without the viewer.
Operation properties
| Question | Answer |
|---|---|
| What is the commutative property of addition | Order does not matter: a + b = b + a. |
| What is the commutative property of multiplication | Order does not matter: a × b = b × a. |
| Is subtraction commutative | No. 5 − 3 ≠ 3 − 5. |
| What is the associative property of addition | Grouping does not matter: (a + b) + c = a + (b + c). |
| What is the associative property of multiplication | Grouping does not matter: (a × b) × c = a × (b × c). |
| What is the distributive property | a(b + c) = ab + ac. For example 3(4 + 5) = 12 + 15. |
| What is the additive identity | 0, because a + 0 = a. |
| What is the multiplicative identity | 1, because a × 1 = a. |
| What is the additive inverse of 7 | −7, because 7 + (−7) = 0. |
| What is the multiplicative inverse (reciprocal) of 4/5 | 5/4, because 4/5 × 5/4 = 1. |
| What is the zero property of multiplication | Any number times 0 is 0. |
| Which property: 6 + 9 = 9 + 6 | Commutative property of addition. |
Even, odd, prime and composite
| Question | Answer |
|---|---|
| What is an even number | A whole number divisible by 2, ending in 0, 2, 4, 6 or 8. |
| What is an odd number | A whole number not divisible by 2, ending in 1, 3, 5, 7 or 9. |
| What is the sum of two odd numbers | An even number. |
| What is the product of two odd numbers | An odd number. |
| What is a prime number | A whole number greater than 1 with exactly two factors: 1 and itself. |
| What is a composite number | A whole number greater than 1 with more than two factors. |
| Is 1 prime or composite | Neither. |
| What is the only even prime number | 2. |
| List the primes less than 20 | 2, 3, 5, 7, 11, 13, 17, 19. |
| What is prime factorization | Writing a number as a product of primes. 60 = 2 × 2 × 3 × 5. |
| What is a perfect square | A number that is the square of a whole number: 1, 4, 9, 16, 25, 36… |
| What is a perfect cube | A number that is the cube of a whole number: 1, 8, 27, 64, 125… |
Factors and multiples
| Question | Answer |
|---|---|
| What is a factor | A number that divides another number with no remainder. The factors of 12 are 1, 2, 3, 4, 6, 12. |
| What is a multiple | The product of a number and a whole number. Multiples of 4: 4, 8, 12, 16… |
| What is the greatest common factor (GCF) | The largest number that divides two or more numbers. GCF of 12 and 18 is 6. |
| What is the least common multiple (LCM) | The smallest number that is a multiple of two or more numbers. LCM of 4 and 6 is 12. |
| What is the divisibility rule for 2 | The last digit is even. |
| What is the divisibility rule for 3 | The digits add up to a multiple of 3. |
| What is the divisibility rule for 4 | The last two digits form a number divisible by 4. |
| What is the divisibility rule for 5 | The last digit is 0 or 5. |
| What is the divisibility rule for 9 | The digits add up to a multiple of 9. |
| What is the divisibility rule for 10 | The last digit is 0. |
| Is 2,418 divisible by 3 | Yes. 2 + 4 + 1 + 8 = 15, a multiple of 3. |
| What are relatively prime numbers | Numbers whose only common factor is 1, such as 8 and 15. |
Frequently asked questions
What are the main properties of numbers?
The commutative, associative and distributive properties, plus identity and inverse properties for addition and multiplication.
Is 0 even?
Yes. 0 is divisible by 2, so it is even.
How do you find the GCF?
List the factors of each number and pick the largest shared one, or compare their prime factorizations and multiply the shared primes.
Sources
More free math flashcards
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