Factors of 49

Introduction

In a large zoom meeting, there are 49 students in it. With this large of a class, the teacher wants the students to answer questions, but not all at the same time. That would be too difficult to manage with all of those answers coming into the chat box. You decide to equally divide this big group. How could you divide this group and how many students would be in each group?

Factors of 49 Introduction

Finding the Factors of 49

The factors for the number, 49, are only a few. It is an odd number, so that eliminates 2 being a factor. There are only 3 factors. One of the factors, 7, has a factor partner of itself which lowers the number of factors even more.

Finding the Factors of 49

Let’s find out the factors for forty-nine. To find out, we will see which numbers 49 or fewer can equally divide into 49. There could be no remainder, or it will not be considered a factor of 49. Let’s gather the factors!

equally divide into 49

Since there are not a lot of factors for 49, it is always best to double check when you realize that you have only a few factors for a number.

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With the problem with the teacher’s massive zoom class, there is only one choice and that is 7 groups of 7 students. The teacher could have a group of 7 students answer the questions in the zoom chat box while the other students are doing something else like reading or writing. Then the next group of 7 students will answer the questions. In that way, the teacher can manage the amount of answers coming through the chat box at one time.

Challenging Questions

Question 1List the factors of 49

Which positive whole numbers divide 49 without leaving a remainder?

Answer

The factors of 49 are 1, 7, 49.

Each listed number divides the original number evenly.

Question 2Find the factor pairs of 49

Which multiplication pairs have a product of 49?

Answer

49 has these positive factor pairs: 1 × 49; 7 × 7.

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

Question 3Prime-factorize 49

What is the prime factorization of 49?

Answer

49 = 7 × 7.

Every number in the product is prime.

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