Factors of 26

Factors of 26 are those numbers that, when multiplied together, give the result of 26. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. We will use the multiplication method to find the factors of 26.

Factors Calculator

Factors of 26: 1, 2, 13 and 26
Factors of -26: -1, -2, -13 and -26
Prime Factors of 26: 2, 13
Prime Factorization of 26: 2 × 13
Factors of 26 in Pairs: (1, 26) and (2, 13)
Negative Pairs Factors of 26: (-1, -26) and (-2, -13)

What are the factors of 26?

The method of calculating the factors of 26 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 26 are the factors of 26.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 26 ÷ 1 = 26

This division gives the remainder 0 and so is divisible by 26. So please put them 1 and 26 in your factor list.

1, …….. 26

(ii) 26 ÷ 2 = 13

This division gives the remainder 0 and so is divisible by 13. So please put them 2 and 13 in your factor list.

1, 2 …….. 13, 26

(iii) 26 ÷ 3 = 8.66

This division gives the remainder 4.8, not being thoroughly divided. So we will not write 3 and 4.8 on the list.

(iv) 26 ÷ 4 = 6.5

This division gives the remainder 6.5, not being thoroughly divided. So we will not write 4 and 6.5 on the list.

(iv) 26 ÷ 5 = 5.2

This division gives the remainder 5.2, not being thoroughly divided. So we will not write 5 and 5.2 on the list.

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 13 and 26 are factors of 26.

Factors of -26

To get the factors of -26 by the multiplication method, we will first write the number -26 multiplicatively in all possible ways. We can write -26 as follows and we have:

26 = -1 × -26 Therefor, -1, -26 are factors of -26
26 = -2 × -13 Therefor, -2, -13 are factors of -26

As there are no other ways we can express -26 multiplicative, we will stop now, and we have obtained all the factors of -26.

So, the factors of -26 are -1, -2, -13 and -26.

All factors of 26

Here is a list of all the positive and negative factors of 26 in numerical order.

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

Therefore, 1, 2, 13, 26, -1, -2, -13 and -26 are All factors of 26.

Factor pairs of 26

1 x 26 = 26
2 x 13 = 26

So, (1, 26) and (2, 13) are factor pairs of 26

Factor pairs of -26

-1 x -26 = 26
-2 x -13 = 26

So, (-1, -26) and (-2, -13) are negative pair factors of 26

Prime Factorization of 26

26 ÷ 2 = 13
13 ÷ 13 = 1

Therefore, 2 × 13 are Prime factorization of 26.

Factor tree of 26

         26
        /   \
       2    13