Q: What are the factor combinations of the number 88,370,243?

 A:
Positive:   1 x 8837024313 x 679771131 x 2850653403 x 219281
Negative: -1 x -88370243-13 x -6797711-31 x -2850653-403 x -219281


How do I find the factor combinations of the number 88,370,243?

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 88,370,243, 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 88,370,243
-1 -88,370,243

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 88,370,243.

Example:
1 x 88,370,243 = 88,370,243
and
-1 x -88,370,243 = 88,370,243
Notice both answers equal 88,370,243

With that explanation out of the way, let's continue. Next, we take the number 88,370,243 and divide it by 2:

88,370,243 ÷ 2 = 44,185,121.5

If the quotient is a whole number, then 2 and 44,185,121.5 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 88,370,243
-1 -88,370,243

Now, we try dividing 88,370,243 by 3:

88,370,243 ÷ 3 = 29,456,747.6667

If the quotient is a whole number, then 3 and 29,456,747.6667 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 88,370,243
-1 -88,370,243

Let's try dividing by 4:

88,370,243 ÷ 4 = 22,092,560.75

If the quotient is a whole number, then 4 and 22,092,560.75 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 88,370,243
-1 88,370,243
Keep dividing by the next highest number until you cannot divide anymore.

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

11331403219,2812,850,6536,797,71188,370,243
-1-13-31-403-219,281-2,850,653-6,797,711-88,370,243

More Examples

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