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Prime Numbers
- only 1 and itself are the factors.
- hint:2,3,5,7,11,13,17,19,23,29,31,37,41
exp. 11x1=11 or 13x1=13
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List all factors of #24
or
Find all factors of 24
- exp: 1x24 answer:1,2,3,4,6,8,12,24
- 2x12 are all factors of 24
- 3x8
- 4x6
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COMPOSITE NUMBER
- has more than 2 factors.
- hint: 4,6,8,9,10,12,14...
exp:2x2=4 or 5x2=10
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Divisible by 2
if its last digit is 0,2,4,6,8
exp: 244 yes because its a 4
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Divisible by 3
- if the sum of all of its digits can be ÷ by 3.
- exp: 333 =9 yes because it equals to 9
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Divisible by 4
- if its las two digits can be ÷ by 4
- exp:644 =44 yes because its 44
- (not sum)
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Divisible by 5
- if its last digit is a 0 or 5
- exp. 025 yes because its a 5
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Divisible by 6
- if the sum of its digits is an even number and can be ÷ by 3.
- hint:2,4,6,8,10...
- exp:576=18 yes because 18 is even and is ÷ by 3
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Divisible by 8
- if its last 3 digits can be ÷ by 8.
- exp:5,088 =88 yes because it can be ÷ 8
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Divisible by 9
- if the sum of all digits can be ÷ by 9.
- exp: 207=9 yes becaus it can ÷ by 9
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Divisible by 10.
- only if its last digits is a 0exp: 240 yes its a 0 at the end
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Find the prime factorization of 36
- do the factorization tree and find primes.
- exp:36
- is 2.3.2.3
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Finding the Greatest Common Factor (GCF):
exp:18 and 24
- find the ones that are same and (x)multiply.
- exp 18=2.3.3 =2.3=6
- 24=2.2.2.2.3 =2.3=6
- so the answer is 6
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Equivalent fractors
- 1. 4 7x4=28 cross multiply
- 7 28 1x28=28 EQUIVALENT
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Simplyfi (write in lowest term) "reduce"
- 6 =2x3 =3 cross out same and multiply
- 8 2x2x2 =4
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Multiply fractions
multiply them horizontaly and find the prime factorizations and cross out same and multiply the ones that remain.
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Dividing franctions
we change the reciprocals then we multiply and follow multiply directions
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how to simply one fraction.
just find the prime factorization and cross out same and the answer is whats left.
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finding the GCF of fractions
- find the common ones and multiply them.
- 56=2x2x2x7=8
- 78=2x2x2x3x3=8
so 8 is the GCF of 56 and 78
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Mixed numbers
- exp 5 1/3
- we multiply 5 and 3 demoninator and + 1 and keep the 3 since is the demominator
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