Math Problem Statement

Which of the following are factor pairs for [26]? Choose all answers that apply: Choose all answers that apply: (Choice A) [1] and [26] A [1] and [26] (Choice B) [2] and [13] B [2] and [13] (Choice C) [3] and [12] C [3] and [12] (Choice D) [4] and [6] D [4] and [6] (Choice E) [5] and [5] E [5] and [5]

Solution

To determine which of the given pairs are factor pairs of 2626, we need to check if the product of each pair equals 2626.

  • Choice A: 1×26=261 \times 26 = 26. This is a factor pair of 26.
  • Choice B: 2×13=262 \times 13 = 26. This is a factor pair of 26.
  • Choice C: 3×12=363 \times 12 = 36. This is not a factor pair of 26.
  • Choice D: 4×6=244 \times 6 = 24. This is not a factor pair of 26.
  • Choice E: 5×5=255 \times 5 = 25. This is not a factor pair of 26.

The correct factor pairs of 2626 are:

  • Choice A: 11 and 2626
  • Choice B: 22 and 1313

Do you want more details or have any questions?

Here are 8 related questions you might consider:

  1. What are the factors of 26?
  2. How can you find the factors of a number?
  3. What are prime numbers, and is 26 a prime number?
  4. What are factor pairs of 30?
  5. How do you determine if a number is divisible by another number?
  6. What is the prime factorization of 26?
  7. Can a number have more than one factor pair?
  8. How does understanding factor pairs help in solving quadratic equations?

Tip: When looking for factor pairs of a number, remember that the product of the two factors must equal the original number.

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Math Problem Analysis

Mathematical Concepts

Factors
Multiplication
Number Theory

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7