Q: What are the factor combinations of the number 84,949,007?

 A:
Positive:   1 x 8494900711 x 772263713 x 653453941 x 2071927143 x 594049451 x 188357533 x 1593795863 x 14489
Negative: -1 x -84949007-11 x -7722637-13 x -6534539-41 x -2071927-143 x -594049-451 x -188357-533 x -159379-5863 x -14489


How do I find the factor combinations of the number 84,949,007?

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 84,949,007, 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 84,949,007
-1 -84,949,007

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 84,949,007.

Example:
1 x 84,949,007 = 84,949,007
and
-1 x -84,949,007 = 84,949,007
Notice both answers equal 84,949,007

With that explanation out of the way, let's continue. Next, we take the number 84,949,007 and divide it by 2:

84,949,007 ÷ 2 = 42,474,503.5

If the quotient is a whole number, then 2 and 42,474,503.5 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 84,949,007
-1 -84,949,007

Now, we try dividing 84,949,007 by 3:

84,949,007 ÷ 3 = 28,316,335.6667

If the quotient is a whole number, then 3 and 28,316,335.6667 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 84,949,007
-1 -84,949,007

Let's try dividing by 4:

84,949,007 ÷ 4 = 21,237,251.75

If the quotient is a whole number, then 4 and 21,237,251.75 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 84,949,007
-1 84,949,007
Keep dividing by the next highest number until you cannot divide anymore.

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

11113411434515335,86314,489159,379188,357594,0492,071,9276,534,5397,722,63784,949,007
-1-11-13-41-143-451-533-5,863-14,489-159,379-188,357-594,049-2,071,927-6,534,539-7,722,637-84,949,007

More Examples

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