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Number, NAP-K3-CA38

Lucretia writes 1197 as the product of its prime factors correctly.

Which expression does Lucretia write?

 
`3 xx 21 xx 19`
 
`3^2 xx 133`
 
`3 xx 7 xx 57`
 
`3^2 xx 7 xx 19`
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`3^2 xx 7 xx 19`

Show Worked Solution

`text(Prime factors require all factors to be)`

`text(prime numbers:)`

`:. 3^2 xx 7 xx 19,\ \ text{(can also be written as}\ \ 3xx3xx7xx19)`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 10, smc-3143-15-Factors, smc-676-15-Factors

Number, NAP-C3-CA22

Which of these numbers is a multiple of both 4 and 11?

`411` `444` `4114` `4444`
 
 
 
 
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`4444` 

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`text(Test if each option is divisible by both 4 and 11.)`

`4444/4 = 1111`

`4444/11 = 404`
 

`:. 4444\ text(is divisible by 4 and 11.)`

Filed Under: Basic Concepts and Calculations Tagged With: Band 8, smc-676-15-Factors

Number, NAP-H3-CA11

Which one of these has the same value as `16^2`? 

`32^2 ÷ 4` `2 xx 2 xx 4 xx 2 xx 4` `2 xx 8^2` `2 xx 16 xx 16`
 
 
 
 
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`32^2 ÷ 4`

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`16^2` `=16 xx 16`
  `=32 -: 2 xx 32 -: 2`
  `=32^2 -: 4`

Filed Under: Basic Concepts and Calculations, Basic Concepts and Calculations Tagged With: Band 7, smc-3143-15-Factors, smc-3143-40-Integer indices, smc-676-15-Factors, smc-676-40-Integer indices

Number, NAP-H3-CA07

Which one of these numbers is a factor of 34?

`3` `4` `17` `68`
 
 
 
 
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`17`

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`17`

Filed Under: Basic Concepts and Calculations Tagged With: Band 6, smc-676-15-Factors

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