Grade 6 Math · The Number System

Identify factors

Identify factors.

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What you’ll learn

Identify factors.

Key idea

A factor divides the target with a whole-number quotient and zero remainder.

Being smaller is not divisibility; the quotient must be whole with zero remainder.

Worked example

Classify examples and non-examples for the concept 'Identify factors'.

Is 3 a factor of 19? Classify using exact whole-number divisibility.

  1. Divide 19 by 3: quotient 6, remainder 1.
  2. A factor requires zero remainder; the proposed factor is not valid.

Answer: Non-example — 19=3×6+1; the nonzero remainder establishes the classification.

Quick Check

Classify examples and non-examples for the concept 'Identify factors'.

Is 5 a factor of 45? Classify using exact whole-number divisibility.

Choose one answer

Show a hint

Check divisibility rather than comparing sizes.