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Identify factors of a number

A factor is a whole number that divides another whole number evenly, so identifying factors involves finding all positive factor pairs whose product equals the given number, including 1 and the number itself. Arrays, multiplication equations, and related division equations reveal the relationship between factors and products and help distinguish factors from multiples; this understanding supports classifying numbers as prime or composite and later work with divisibility and fraction relationships. Negative, fractional, and prime-factorization treatments are not included.

Detailed Explanation: Identify factors of a number

A factor is a whole number that divides another number evenly. Factors come in pairs because two factors multiply to make the number.

Example: Find all the factors of 2424.

  1. Start with 11.
    1×24=241 \times 24 = 24
    So, 11 and 2424 are factors.

  2. Try 22.
    2×12=242 \times 12 = 24
    So, 22 and 1212 are factors.

  3. Try 33.
    3×8=243 \times 8 = 24
    So, 33 and 88 are factors.

  4. Try 44.
    4×6=244 \times 6 = 24
    So, 44 and 66 are factors.

  5. Try 55.
    24÷524 \div 5 does not divide evenly, so 55 is not a factor.

  6. We have reached the middle of the pairs, so stop. The factor pairs are:

1×24,2×12,3×8,4×61 \times 24,\quad 2 \times 12,\quad 3 \times 8,\quad 4 \times 6

Therefore, the factors of 2424 are:

1,2,3,4,6,8,12,24\boxed{1, 2, 3, 4, 6, 8, 12, 24}

You can check each factor by dividing 2424 by it with no remainder.

Learn by doing: Identify factors of a number

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    Division Dividend to Factor Pair - 2 Digit

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