smc-3143-15-Factors

Number, NAP-C3-CA22v1

Which of these numbers is a multiple of both 3 and 11?

`616`	`666`	`3113`	`3333`

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`3333`

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`text(Test if each option is divisible by both 3 and 11.)`

`3333/4 = 1111`

`3333/11 = 303`

`:. 3333\ text(is divisible by 4 and 11.)`

Which one of these numbers is a factor of 65?

`3`	`6`	`13`	`130`

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`13`

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`text(Test each option:)`

`65 -: 3 = 21\ text(remainder 2)`

`65 -: 6 = 10\ text(remainder 5)`

`65 -: 13 = 5`

`:. 13\ text(is a factor of 65)`

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

Which expression does Lucretia write?

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`3^2 xx 7 xx 19`

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

`text(prime numbers:)`

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

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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