Q: What are the factor combinations of the number 888,745?

 A:
Positive:   1 x 8887455 x 17774911 x 8079513 x 6836555 x 1615965 x 13673113 x 7865121 x 7345143 x 6215565 x 1573605 x 1469715 x 1243
Negative: -1 x -888745-5 x -177749-11 x -80795-13 x -68365-55 x -16159-65 x -13673-113 x -7865-121 x -7345-143 x -6215-565 x -1573-605 x -1469-715 x -1243


How do I find the factor combinations of the number 888,745?

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 888,745, 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.

1 888,745
-1 -888,745

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 888,745.

Example:
1 x 888,745 = 888,745
and
-1 x -888,745 = 888,745
Notice both answers equal 888,745

With that explanation out of the way, let's continue. Next, we take the number 888,745 and divide it by 2:

888,745 ÷ 2 = 444,372.5

If the quotient is a whole number, then 2 and 444,372.5 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:

1 888,745
-1 -888,745

Now, we try dividing 888,745 by 3:

888,745 ÷ 3 = 296,248.3333

If the quotient is a whole number, then 3 and 296,248.3333 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:

1 888,745
-1 -888,745

Let's try dividing by 4:

888,745 ÷ 4 = 222,186.25

If the quotient is a whole number, then 4 and 222,186.25 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:

1 888,745
-1 888,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651131211435656057151,2431,4691,5736,2157,3457,86513,67316,15968,36580,795177,749888,745
-1-5-11-13-55-65-113-121-143-565-605-715-1,243-1,469-1,573-6,215-7,345-7,865-13,673-16,159-68,365-80,795-177,749-888,745

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 888,745:


Ask a Question