TTP Flashcards
odd + odd =
even
even + even =
even
even + odd =
odd
odd - odd =
even
even - even =
even
even x even =
even
even x odd =
even
odd x odd =
odd
Prime numbers less than 20:
2, 3, 5, 7, 11, 13, 17, 19
Prime numbers 20-40:
23, 29, 31, 37
A number is divisible by 2 if…
the ones digit is 0, 2, 4, 6, or 8
A number is divisible by 3 if…
the sum of all the digits is divisible by 3
A number is divisible by 4 if…
the last two digits of a number are a number divisible by 4
A number is divisible by 5 if…
the last digit is a 0 or 5
A number is divisible by 6 if…
the number is divisible by both 2 and 3
A number is divisible by 8 if…
the last three digits of a number are a number divisible by 8
A number is divisible by 9 if…
the sum of all the digits is divisible by 9
A number is divisible by 11 if…
the sum of the odd-numbered digits minus the sum of the even-numbered digits is divisible by 11
What are the 3 steps to find the LCM?
Step 1: Find the prime factorization of each number.
N=2^a3^b5^c
Step 2: Reduce repeated prime factors by removing the smallest exponents.
Step 3: Multiply the remaining prime factors, disregarding the exponents
What are the 3 steps to find the GCF?
Step 1: Find the prime factorization of each number.
N=2^a3^b5^c
Step 2: Reduce repeated prime factors by removing the largest exponents.
Step 3: Multiply the remaining numbers (including exponents).
What is the product of LCM*GCF of two numbers x and y?
x * y = LCM * GCF
What will be the units digit of any factorial greater than 5! ?
zero
If x is an integer with k digits, then 1/x will have how many leading zeroes in the decimal?
k - 1
Unless x is a power of 10, where there would be k - 2 leading zeroes.
The units digit of powers of 2 will follow the pattern…
2-4-8-6
The units digit of powers of 3 will follow the pattern…
3-9-7-1
The units digit of powers of 4 follow the pattern…
4-6
The units digit of all odd powers of 4 end in…
4
The units digit of all even powers of 4 end in…
6
The units digit of all powers of 5 end in…
5
The units digit of all powers of 6 end in…
6
The units digit of all powers of 7 follow the pattern…
7-9-3-1
The units digit of all powers of 8 follow the pattern…
8-4-2-6
The units digit of all powers of 9 follow the pattern…
9-1
The units digit of all odd powers of 9 end in…
9
The units digit of all even powers of 9 end in…
1
What is a perfect square?
A number whose prime factors all have even exponents.
What is a perfect cube?
A number whose prime factors all even exponents divisible by 3 (except 0 and 1).
9 * 9 =
81