What equals 24 in multiplication

General
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what equals 24 in multiplication

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What equals 24 in multiplication?

Answer: To determine what equals 24 in multiplication, we need to find pairs of factors that, when multiplied together, result in 24. Here are the factor pairs of 24:

  1. 1 and 24:

    • 1 \times 24 = 24

  2. 2 and 12:

    • 2 \times 12 = 24

  3. 3 and 8:

    • 3 \times 8 = 24

  4. 4 and 6:

    • 4 \times 6 = 24

These pairs cover all possible combinations of integers that multiply together to give the product of 24. Each pair consists of two numbers, known as factors of 24, that satisfy the equation ( a \times b = 24 ).

Additionally, here are some explanations and context:

Prime Factorization Method:
Finding these pairs can be simplified using the prime factorization of 24. The prime factorization of 24 is:

24 = 2^3 \times 3

From this, we can derive the factor pairs by combining these prime factors in different ways.

Algebraic Representation:
In algebraic terms, if you let (a \times b = 24), then you can systematically consider different integer pairs ( (a, b) ) such as those listed above.

These four pairs:

(1, 24), (2, 12), (3, 8), (4, 6)

are comprehensive and cover all the possibilities with positive integers. For completeness, here are also the pairs involving negative integers, since the product of two negative numbers is positive:

  1. (-1) and (-24):

    • -1 \times -24 = 24

  2. (-2) and (-12):

    • -2 \times -12 = 24

  3. (-3) and (-8):

    • -3 \times -8 = 24

  4. (-4) and (-6):

    • -4 \times -6 = 24

This comprehensive approach ensures a clear understanding of what combinations of numbers when multiplied give 24, addressing all potential multiplicative scenarios.