# ACT Math 5.3 Pre-Algebra

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ACT Math: Pre-Algebra Drill 5, Problem 3. Find the remainder.

ACT Math | Pre-Algebra |

ACT Mathematics | Pre-Algebra |

Algebra | Expressions |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Language | English Language |

Pre-Algebra | Factors Number problems (operations using whole numbers, fractions, decimals, and integers) |

Product Type | ACT Math |

### Transcript

Something neat we can do with remainders is that, if n is divisible by 2 and 5, we just

multiply 2 and 5... and we know that n is also divisible by 10.

Therefore, we know that n could be 10, 20, 30, 40, etc.

and n + 2 could be 12, 22, 32, 42...

The question asks us what the remainder is when n + 2 is divided by 4

so if we just test the possible n + 2 numbers

then 12 divided by 4 gives us 3 with a remainder of 0.

22 divided by 4 gives us 5 with a remainder of 2.

32 divided by 4 gives us 8 with a remainder of 0.

42 divided by 4 gives us 10 with a remainder of 2.

Looks like the remainder when n + 2 is divided by 4 is either 0 or 2.

Our answer is E.

As in, Egg salad sandwich.