Q: What are the factor combinations of the number 84,232,687?

 A:
Positive:   1 x 842326877 x 1203324111 x 765751777 x 1093931101 x 833987707 x 1191411111 x 758177777 x 10831
Negative: -1 x -84232687-7 x -12033241-11 x -7657517-77 x -1093931-101 x -833987-707 x -119141-1111 x -75817-7777 x -10831


How do I find the factor combinations of the number 84,232,687?

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 84,232,687, 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 84,232,687
-1 -84,232,687

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 84,232,687.

Example:
1 x 84,232,687 = 84,232,687
and
-1 x -84,232,687 = 84,232,687
Notice both answers equal 84,232,687

With that explanation out of the way, let's continue. Next, we take the number 84,232,687 and divide it by 2:

84,232,687 ÷ 2 = 42,116,343.5

If the quotient is a whole number, then 2 and 42,116,343.5 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 84,232,687
-1 -84,232,687

Now, we try dividing 84,232,687 by 3:

84,232,687 ÷ 3 = 28,077,562.3333

If the quotient is a whole number, then 3 and 28,077,562.3333 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 84,232,687
-1 -84,232,687

Let's try dividing by 4:

84,232,687 ÷ 4 = 21,058,171.75

If the quotient is a whole number, then 4 and 21,058,171.75 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 84,232,687
-1 84,232,687
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771017071,1117,77710,83175,817119,141833,9871,093,9317,657,51712,033,24184,232,687
-1-7-11-77-101-707-1,111-7,777-10,831-75,817-119,141-833,987-1,093,931-7,657,517-12,033,241-84,232,687

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