What times what equals 33?
Understand the Problem
The question is asking for pairs of numbers that multiply together to give the result of 33. To solve this, we will find the factors of 33.
Answer
The pairs that multiply to 33 are \( (1, 33) \) and \( (3, 11) \).
Answer for screen readers
The pairs of numbers that multiply to give 33 are ( (1, 33) ) and ( (3, 11) ).
Steps to Solve
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Identify the target product We need to find pairs of numbers that multiply to give 33.
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List the factors of 33 Next, we find the factors of 33. The factors are the integers that can be multiplied together to achieve the number. The factors of 33 are 1, 3, 11, and 33.
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Determine the pairs Now, we can form pairs of numbers from the factors. The pairs that multiply to 33 are:
- ( (1, 33) )
- ( (3, 11) )
- Check the pair products
It's always good to verify that our pairs indeed multiply to 33.
- For ( (1, 33) ): $$ 1 \times 33 = 33 $$
- For ( (3, 11) ): $$ 3 \times 11 = 33 $$
The pairs of numbers that multiply to give 33 are ( (1, 33) ) and ( (3, 11) ).
More Information
The number 33 is a product of two prime factors: 3 and 11. This makes it a semi-prime number since it is the product of two distinct prime numbers.
Tips
- Forgetting to list out all the factors of the number.
- Not checking whether the pairs correctly multiply to the target product.
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