Q: What are the factor combinations of the number 84,037,896?

 A:
Positive:   1 x 840378962 x 420189483 x 280126324 x 210094746 x 140063168 x 105047379 x 933754412 x 700315818 x 466877224 x 350157936 x 233438672 x 1167193
Negative: -1 x -84037896-2 x -42018948-3 x -28012632-4 x -21009474-6 x -14006316-8 x -10504737-9 x -9337544-12 x -7003158-18 x -4668772-24 x -3501579-36 x -2334386-72 x -1167193


How do I find the factor combinations of the number 84,037,896?

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 84,037,896, 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 84,037,896
-1 -84,037,896

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 84,037,896.

Example:
1 x 84,037,896 = 84,037,896
and
-1 x -84,037,896 = 84,037,896
Notice both answers equal 84,037,896

With that explanation out of the way, let's continue. Next, we take the number 84,037,896 and divide it by 2:

84,037,896 ÷ 2 = 42,018,948

If the quotient is a whole number, then 2 and 42,018,948 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 42,018,948 84,037,896
-1 -2 -42,018,948 -84,037,896

Now, we try dividing 84,037,896 by 3:

84,037,896 ÷ 3 = 28,012,632

If the quotient is a whole number, then 3 and 28,012,632 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 28,012,632 42,018,948 84,037,896
-1 -2 -3 -28,012,632 -42,018,948 -84,037,896

Let's try dividing by 4:

84,037,896 ÷ 4 = 21,009,474

If the quotient is a whole number, then 4 and 21,009,474 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 21,009,474 28,012,632 42,018,948 84,037,896
-1 -2 -3 -4 -21,009,474 -28,012,632 -42,018,948 84,037,896
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912182436721,167,1932,334,3863,501,5794,668,7727,003,1589,337,54410,504,73714,006,31621,009,47428,012,63242,018,94884,037,896
-1-2-3-4-6-8-9-12-18-24-36-72-1,167,193-2,334,386-3,501,579-4,668,772-7,003,158-9,337,544-10,504,737-14,006,316-21,009,474-28,012,632-42,018,948-84,037,896

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