Math Problem Statement

What are two different factorizations of 10?

Solution

The question asks for two different factorizations of the number 10. Factorization means breaking a number into two or more numbers (other than 1 and itself) that multiply together to give the original number.

Solution:

  1. First Factorization:
    10=2×510 = 2 \times 5
    (Both 2 and 5 are prime factors of 10.)

  2. Second Factorization:
    10=1×1010 = 1 \times 10
    (Here, we use 1 and 10 as factors.)

These are the two valid factorizations of 10. You can input them as follows:

  • First box: 2, second box: 5
  • First box: 1, second box: 10

Let me know if you'd like further clarification!

Related Questions:

  1. What is the prime factorization of 10?
  2. How do you determine if a factorization is correct?
  3. Can 10 have a negative factorization? (e.g., 2×5-2 \times -5)?
  4. What are all possible factorizations of a composite number?
  5. How can factor trees help in determining factorization?

Tip:

When factoring a number, always check for prime numbers first—they are the building blocks for all numbers!

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Math Problem Analysis

Mathematical Concepts

Factorization
Prime Numbers

Formulas

10 = 2 × 5
10 = 1 × 10

Theorems

Prime factorization

Suitable Grade Level

Grades 4-6