Q: What are the factor combinations of the number 84,037,037?

 A:
Positive:   1 x 840370377 x 12005291139 x 604583973 x 86369
Negative: -1 x -84037037-7 x -12005291-139 x -604583-973 x -86369


How do I find the factor combinations of the number 84,037,037?

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 84,037,037, 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 84,037,037
-1 -84,037,037

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 84,037,037.

Example:
1 x 84,037,037 = 84,037,037
and
-1 x -84,037,037 = 84,037,037
Notice both answers equal 84,037,037

With that explanation out of the way, let's continue. Next, we take the number 84,037,037 and divide it by 2:

84,037,037 ÷ 2 = 42,018,518.5

If the quotient is a whole number, then 2 and 42,018,518.5 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 84,037,037
-1 -84,037,037

Now, we try dividing 84,037,037 by 3:

84,037,037 ÷ 3 = 28,012,345.6667

If the quotient is a whole number, then 3 and 28,012,345.6667 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 84,037,037
-1 -84,037,037

Let's try dividing by 4:

84,037,037 ÷ 4 = 21,009,259.25

If the quotient is a whole number, then 4 and 21,009,259.25 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 84,037,037
-1 84,037,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1713997386,369604,58312,005,29184,037,037
-1-7-139-973-86,369-604,583-12,005,291-84,037,037

More Examples

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