Introduction
My sister has a closet full of clothes. As a matter of fact, she has 58 different dresses. In this closet of mainly dresses, the dresses fall into being one of 29 different colors. Using this information, see if you can figure out how many dresses of each color my sister has in her closet. Use the factors of 58 to find the answer to this problem.
Factors Of 58
The factoring of 58 needs to be considered carefully. The factors of 58 are the numbers from 1 through 58 that can evenly be divided into 58 without having a remainder.
To find the factors of 58, you need to write down the first two factors. Those are 1 and itself, so 1 and 58. Then see if the number is an even number. Fifty-eight is an even number, so 2 is a factor as well as its factor partner. What number multiplied by 2 equals to 58? This number is 29. Then, see if any numbers between 3 and 28 are factors of 58. In this case, there are not. You only have to go up to 28 because half of the numbers will not equally divide into a number because they will be too big.
With my sister’s situation of dresses, you can figure out with the factors of 58 how many dresses she has of each of the 29 colors. To do this, you need to find 29’s factor partner for 58. In this case, 29’s factor partner is 2. So, my sister has two dresses of each of the 29 different colors in her closet.
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Challenge Questions
Question 1List the factors of 58
Which positive whole numbers divide 58 without leaving a remainder?
The factors of 58 are 1, 2, 29, 58.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 58
Which multiplication pairs have a product of 58?
58 has these positive factor pairs: 1 × 58; 2 × 29.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 58
What is the prime factorization of 58?
58 = 2 × 29.
Every number in the product is prime.
