Download Answer the following prime number questions

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Parity of zero wikipedia , lookup

Division by zero wikipedia , lookup

0.999... wikipedia , lookup

Addition wikipedia , lookup

Prime number wikipedia , lookup

Mersenne prime wikipedia , lookup

Transcript
Introduction to prime numbers, factorization, GCF , LCM
A factor is simply a number that is multiplied to get a product. Factoring a number
means taking the number apart to find its factors--it's like multiplying in reverse.
Eg
5 --> 5, 10, 15, 20, 25, . . .
7 --> 7, 14, 21, 28, 35, . . .
Factors are either composite numbers or prime numbers. A prime number has only
two factors, one and itself, so it cannot be divided evenly by any other numbers.
Here's a list of prime numbers up to 100. You can see that none of these numbers
can be factored any further.2 is the only even prime number.
PRIME NUMBERS to 100
2,3,5,7,11,13,17,19,23,29,31,37,41,43,
47,53,59,61,67,71,73,79,83,89,97
A composite number is any number that has more than two factors. Here's a list of
composite numbers up to 20. You can see that they can all be factored further. For
example, 4 equals 2 times 2, 6 equals 3 times 2, 8 equals 4 times 2, and so forth.
By the way, zero and one are considered neither prime nor composite numbersthey're in a class by themselves!
COMPOSITE NUMBERS up to 20
4,6,8,9,10,12,14,15,16,18,20
You can write any composite number as a product of prime factors. This is called
prime factorization. To find the prime factors of a number, you divide the number by
the smallest possible prime number and work up the list of prime numbers until the
result is itself a prime number
Eg
168 ÷ 2 = 84
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 3 = 7 Prime number
prime factors = 2 × 2 × 2 × 3 × 7
To check the answer, multiply these factors and make sure they equal 168.
Here are the prime factors of some composite numbers
4=2×2
6=3×2
8=2×2×2
9=3×3
10 = 5 × 2
12 = 3 × 2 × 2
Answer the following prime number questions
1. Is 1 a prime number?
2. Is 0 a prime number?
3.
What is the definition of prime number?
4. What are the Prime numbers between 0 and
100?
5. If 2 is a factor of that number, is the number
prime number?
6. John’s score has Prime factors of 2 or 11, what
numbers can possibly be John’s score?
7. Angela has a number of candies which can be
divided by 11 and 3, what are possible numbers of
Angela’s candies.
Prime factorization
http://www.helpingwithmath.com
Fill in the missing numbers in the factor trees then write the prime factorization (the first one is done
for you):
12
48
2
x
6
4
2 x 3
x
x
x 6
x
Prime Factorization: 2 x 2 x 3
60
4
x
x
Prime Factorization:
x 5
Prime Factorization:
Find the GCF for these numbers
12, 30
36 , 78
50 , 150
Find the LCM for these numbers
2 , 12
5 , 35
27 , 72
Order of operations
ORDER OF OPERATIONS RULE
PLEASE EXCUSE MY DEAR AUNT SALLY
Simplify.
1. 66 ÷ 6 + 5
2. 5 - 1 + 4
3. 30 ÷ 6 × 3
4. 5 + 2 + 3
5.
6. 55 ÷ 5 × 4
10. 7 × 5 × 2
11.
(6 + 5 + 9) ÷ (80 ÷ 8)
(54 ÷ 9 + 2 + 4) ÷ (48 ÷ 8)
http://tulyn.com/4th-grade-math/order-of-operations/wordproblems
Emily had 30 cookies to bring to school for her birthday. Three
students wanted two cookies each. Then, a new student came to
the school that day and he wanted three cookies. Then, one of the
three kids gave their two cookies back. Emily was still passing out
cookies. How many cookies did Emily have left to pass out after
the student gave her his back?
A certain Math Club makes 35 bars of laundry soap a week and sells
these at P 20 each. Before the soap can all be sold, the pupils found
out that 6 bars were destroyed by mice. How much will be the total
sale at the end of the month?
Lilia scores 15 points fewer than Bob, who scores 35 points. Carol
scores half as many points as Lilia. How many points does Carol
score?
Divisibility
Check divisibility , write yes or no
1.
168
by
4
by
6
by
7
by
8
by
10
________
________
________
________
________
2.
180
by
5
by
7
by
8
by
9
by
10
________
________
________
________
________
3.
75,853
by
2
by
6
by
8
by
9
by
10
________
________
________
________
________
4.
91,216
by
2
by
4
by
6
by
9
by
10
________
________
________
________
________
What are the mystery numbers? All numbers are less than 50.
a). I am divisible by
b). I am divisible by 11,
c) I am divisible by
10 and 4 but not
and if you divide me by 5,
5 and 3, and leave a
divisible by 8.
I leave a remainder of 3.
remainder of 1 if
divided by 2.