Q: What are the factor combinations of the number 26,742,163?

 A:
Positive:   1 x 267421637 x 382030959 x 45325773 x 366331413 x 64751511 x 52333887 x 301494307 x 6209
Negative: -1 x -26742163-7 x -3820309-59 x -453257-73 x -366331-413 x -64751-511 x -52333-887 x -30149-4307 x -6209


How do I find the factor combinations of the number 26,742,163?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 26,742,163, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 26,742,163
-1 -26,742,163

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 26,742,163.

Example:
1 x 26,742,163 = 26,742,163
and
-1 x -26,742,163 = 26,742,163
Notice both answers equal 26,742,163

With that explanation out of the way, let's continue. Next, we take the number 26,742,163 and divide it by 2:

26,742,163 ÷ 2 = 13,371,081.5

If the quotient is a whole number, then 2 and 13,371,081.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 26,742,163
-1 -26,742,163

Now, we try dividing 26,742,163 by 3:

26,742,163 ÷ 3 = 8,914,054.3333

If the quotient is a whole number, then 3 and 8,914,054.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 26,742,163
-1 -26,742,163

Let's try dividing by 4:

26,742,163 ÷ 4 = 6,685,540.75

If the quotient is a whole number, then 4 and 6,685,540.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 26,742,163
-1 26,742,163
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1759734135118874,3076,20930,14952,33364,751366,331453,2573,820,30926,742,163
-1-7-59-73-413-511-887-4,307-6,209-30,149-52,333-64,751-366,331-453,257-3,820,309-26,742,163

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