What x what equals 36?
Understand the Problem
The question is asking to find what two numbers multiply together to equal 36. We will determine the factors of 36.
Answer
(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)
Answer for screen readers
The pairs of numbers that multiply together to equal 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).
Steps to Solve
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Identify the number 36 We need to find pairs of numbers that multiply to give us 36.
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Start with the number 1 The first factor is always 1, because any number multiplied by 1 is itself. $$ 1 \times 36 = 36 $$
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Identify the next factors Next, we can use 2: $$ 2 \times 18 = 36 $$
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Continue with the next number, 3 Now let's check 3: $$ 3 \times 12 = 36 $$
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Check the number 4 Next, we use 4: $$ 4 \times 9 = 36 $$
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Use the number 6 Finally, we can check 6: $$ 6 \times 6 = 36 $$
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List all paired factors Now we can write down all pairs:
- (1, 36)
- (2, 18)
- (3, 12)
- (4, 9)
- (6, 6)
The pairs of numbers that multiply together to equal 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6).
More Information
Finding factors is a fundamental concept in math, useful for simplifying fractions, solving equations, and understanding prime factorization.
Tips
- Not considering both factors in pairs (e.g., only writing down 1×36 but forgetting 36×1)
- Missing pairs like (6, 6) since it repeats the same factor.