Factors of 33

Imagine the temperature outdoors is a sweltering 33 degrees Celsius. The weatherman reports that there every 11 days the temperature will reduce a certain amount until it gets to zero degrees Celsius.

You want to determine how many degrees the temperature will drop during each of those 11 days if it drops at an average rate from the original 33 degrees.

You want to determine how many degrees

If you want to figure out the answer to this question, you will need to know how to divide, or you can find the factors of the original temperature number, which is 33.

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Factors of 33 are 1, 3, 11 and 33

The factors of 33 can be determined by finding all of the numbers from 1 to 33 that can evenly divide into the number, 33, without having a remainder. If there is a remainder, then that number is not a factor of 33. Let’s look at a visual of the factors of 33.

Factors of 33 are 1, 3, 11 and 33

So, according to the visual above, there are three different grouped objects. The first group includes two different factors for 33. It represents 1 group of 33 stars or 33 individual groups of 1 star each.

For the next group to the right of this first group shows 3 big groups. Each of the big groups has 11 stars in it. Finally, the bottom group shows 11 groups. In each of these groups is 3 stars.

Therefore, the factors of 33 is only four numbers: 1, 3, 11, and 33. Each factor has a factor partner. This means that the number multiplied to its factor partner will equal 33. So, 1 and 33 are factor partners, and 3 and 11 are factor partners.

Challenging Questions

Question 1List the factors of 33

Which positive whole numbers divide 33 without leaving a remainder?

Answer

The factors of 33 are 1, 3, 11, 33.

Each listed number divides the original number evenly.

Question 2Find the factor pairs of 33

Which multiplication pairs have a product of 33?

Answer

33 has these positive factor pairs: 1 × 33; 3 × 11.

Multiplying the two numbers in any pair gives the original number.

Question 3Prime-factorize 33

What is the prime factorization of 33?

Answer

33 = 3 × 11.

Every number in the product is prime.

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