What are factors of 26

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The number 26 is a composite number because 26 can be divided by one, by itself and at least by 2 and 13. A composite number is an integer that can be divided by at least another natural number, besides itself and 1, without leaving a remainder (divided exactly).

The factorization or decomposition of 26 = 2•13. Notice that here, it is written in exponential form.

The prime factors of 26 are 2 and 13. It is the list of the integer's prime factors.

The number of prime factors of 26 is 2.

As 26 is a composite number, we can draw its factor tree:

Here you can find the answer to questions related to: What are all the factors of 26? or list the factors of 26. By using our online calculator to find the prime factors of any composite number and check if a number is prime or composite. This tool also draws the prime factor tree if the number is factorable and smaller than 16000.

Watch this video below to learn more on prime numbers, prime factors and how you can draw a factor tree.

You can also find this video about factorization at mathantics.com

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So you need to find the factors of 26 do you? In this quick guide we'll describe what the factors of 26 are, how you find them and list out the factor pairs of 26 for you to prove the calculation works. Let's dive in!

Want to quickly learn or show students how to find the factors of 26? Play this very quick and fun video now!

Factors of 26 Definition

When we talk about the factors of 26, what we really mean is all of the positive and negative integers (whole numbers) that can be evenly divided into 26. If you were to take 26 and divide it by one of its factors, the answer would be another factor of 26.

Let's look at how to find all of the factors of 26 and list them out.

How to Find the Factors of 26

We just said that a factor is a number that can be divided equally into 26. So the way you find and list all of the factors of 26 is to go through every number up to and including 26 and check which numbers result in an even quotient (which means no decimal place).

Doing this by hand for large numbers can be time consuming, but it's relatively easy for a computer program to do it. Our calculator has worked this out for you. Here are all of the factors of 26:

  • 26 ÷ 1 = 26
  • 26 ÷ 2 = 13
  • 26 ÷ 13 = 2
  • 26 ÷ 26 = 1

All of these factors can be used to divide 26 by and get a whole number. The full list of positive factors for 26 are:

1, 2, 13, and 26

Negative Factors of 26

Technically, in math you can also have negative factors of 26. If you are looking to calculate the factors of a number for homework or a test, most often the teacher or exam will be looking for specifically positive numbers.

However, we can just flip the positive numbers into negatives and those negative numbers would also be factors of 26:

-1, -2, -13, and -26

How Many Factors of 26 Are There?

As we can see from the calculations above there are a total of 4 positive factors for 26 and 4 negative factors for 26 for a total of 8 factors for the number 26.

There are 4 positive factors of 26 and 4 negative factors of 26. Wht are there negative numbers that can be a factor of 26?

Factor Pairs of 26

A factor pair is a combination of two factors which can be multiplied together to equal 26. For 26, all of the possible factor pairs are listed below:

We have also written a guide that goes into a little more detail about the factor pairs for 26 in case you are interested!

Just like before, we can also list out all of the negative factor pairs for 26:

  • -1 x -26 = 26
  • -2 x -13 = 26

Notice in the negative factor pairs that because we are multiplying a minus with a minus, the result is a positive number.

So there you have it. A complete guide to the factors of 26. You should now have the knowledge and skills to go out and calculate your own factors and factor pairs for any number you like.

Feel free to try the calculator below to check another number or, if you're feeling fancy, grab a pencil and paper and try and do it by hand. Just make sure to pick small numbers!

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Factors of 27


What are factors of 26
We have all the information you will ever need about the Factors of 26. We will provide you with the definition of Factors of 26, show you how to find the Factors of 26, give you all the Factors of 26, tell you how many Factors 26 has, and supply you with all the Factor Pairs of 26 to prove that our answer is solved correctly.

Factors of 26 definition

The Factors of 26 are all the integers (positive and negative whole numbers) that you can evenly divide into 26. 26 divided by a Factor of 26 will equal another Factor of 26.
How to find the Factors of 26 Since the Factors of 26 are all the numbers that you can evenly divide into 26, we simply need to divide 26 by all numbers up to 26 to see which ones result in an even quotient. When we did that, we found that these calculations resulted in an even quotient: 26 ÷ 1 = 2626 ÷ 2 = 1326 ÷ 13 = 226 ÷ 26 = 1 The Postive Factors of 26 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 26 in numerical order: 1, 2, 13, and 26. Factors of 26 include negative numbers. Therefore, all the Positive Factors of 26 can be converted to negative numbers. The list of Negative Factors of 26 are: -1, -2, -13, and -26.

How many Factors of 26?

When we counted the Factors of 26 that we listed above, we found that 26 has 4 Positive Factors and 4 Negative Factors. Thus, the total number of Factors of 26 is 8.

Factor Pairs of 26

Factor Pairs of 26 are combinations of two factors that when multiplied together equal 26. Here are all the Positive Factor Pairs of 26 1 × 26 = 262 × 13 = 2613 × 2 = 2626 × 1 = 26 Like we said above, Factors of 26 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 26: -1 × -26 = 26-2 × -13 = 26-13 × -2 = 26-26 × -1 = 26

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Factors of 27

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26 is a composite number. 26 = 1 x 26 or 2 x 13. Factors of 26: 1, 2, 13, 26. Prime factorization: 26 = 2 x 13.

What are factors of 26

26 is never a clue in the FIND THE FACTORS 1-10 or 1-12 puzzles.

What are factors of 26

Write the numbers 1-12 in the top row and again in the first column so that those numbers are the factors of the given clues. Use logic, not guessing and checking, to find its unique solution. Here is how to solve this level 4 “snow shovel” puzzle:

Begin by looking for perfect square clues, 1, 25, 49, 64, 81, 100, 121, or 144 because there is only one way to factor any of them so that both factors are numbers from 1 to 12. If you find one of those perfect square clues, write down its factors in the corresponding factor row and factor column.

Next locate a row or a column with at least 2 clues. Find the common factor of that row or column that will allow you to write only numbers from 1 to 12 in both the factor row and the factor column. If there is more than one row or column with at least 2 clues, repeat the previous step until only rows and columns with one clue remain.

Now you have at least 3 factors written down. Next look at ALL the remaining clues in the puzzle and find one that can only be factored using one of the factors you’ve written down already but haven’t used twice. Repeat the last step until all (or almost all) of the factors are found.

If a row or a column contains no clues, use logic is determine which number from 1 to 12 should be written there.

While working on these puzzles, occasionally count from 1 to 12 to make sure each of those numbers is written exactly once in both the factor row and the factor column. You will notice a rhythm for the answers as you work. Good luck!

This week’s puzzles are also available in an excel file here, if you have a spreadsheet program on your computer. If you enable editing in excel, you can type your answers directly onto the puzzle, and you can also easily print the puzzles.

Here is the solution to the week 1 level 4 puzzle:

What are factors of 26