Q: What are the factor combinations of the number 161,041,837?

 A:
Positive:   1 x 16104183711 x 1464016723 x 700181943 x 3745159113 x 1425149131 x 1229327253 x 636529473 x 340469989 x 1628331243 x 1295591441 x 1117572599 x 619633013 x 534494859 x 331435633 x 2858910879 x 14803
Negative: -1 x -161041837-11 x -14640167-23 x -7001819-43 x -3745159-113 x -1425149-131 x -1229327-253 x -636529-473 x -340469-989 x -162833-1243 x -129559-1441 x -111757-2599 x -61963-3013 x -53449-4859 x -33143-5633 x -28589-10879 x -14803


How do I find the factor combinations of the number 161,041,837?

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 161,041,837, 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.

1 161,041,837
-1 -161,041,837

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 161,041,837.

Example:
1 x 161,041,837 = 161,041,837
and
-1 x -161,041,837 = 161,041,837
Notice both answers equal 161,041,837

With that explanation out of the way, let's continue. Next, we take the number 161,041,837 and divide it by 2:

161,041,837 ÷ 2 = 80,520,918.5

If the quotient is a whole number, then 2 and 80,520,918.5 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:

1 161,041,837
-1 -161,041,837

Now, we try dividing 161,041,837 by 3:

161,041,837 ÷ 3 = 53,680,612.3333

If the quotient is a whole number, then 3 and 53,680,612.3333 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:

1 161,041,837
-1 -161,041,837

Let's try dividing by 4:

161,041,837 ÷ 4 = 40,260,459.25

If the quotient is a whole number, then 4 and 40,260,459.25 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:

1 161,041,837
-1 161,041,837
Keep dividing by the next highest number until you cannot divide anymore.

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

11123431131312534739891,2431,4412,5993,0134,8595,63310,87914,80328,58933,14353,44961,963111,757129,559162,833340,469636,5291,229,3271,425,1493,745,1597,001,81914,640,167161,041,837
-1-11-23-43-113-131-253-473-989-1,243-1,441-2,599-3,013-4,859-5,633-10,879-14,803-28,589-33,143-53,449-61,963-111,757-129,559-162,833-340,469-636,529-1,229,327-1,425,149-3,745,159-7,001,819-14,640,167-161,041,837

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