Q: What are the factor combinations of the number 177,620,737?

 A:
Positive:   1 x 1776207377 x 2537439129 x 612485349 x 3624913203 x 874979239 x 743183523 x 3396191421 x 1249971673 x 1061693661 x 485176931 x 2562711711 x 15167
Negative: -1 x -177620737-7 x -25374391-29 x -6124853-49 x -3624913-203 x -874979-239 x -743183-523 x -339619-1421 x -124997-1673 x -106169-3661 x -48517-6931 x -25627-11711 x -15167


How do I find the factor combinations of the number 177,620,737?

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 177,620,737, 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.

1 177,620,737
-1 -177,620,737

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 177,620,737.

Example:
1 x 177,620,737 = 177,620,737
and
-1 x -177,620,737 = 177,620,737
Notice both answers equal 177,620,737

With that explanation out of the way, let's continue. Next, we take the number 177,620,737 and divide it by 2:

177,620,737 ÷ 2 = 88,810,368.5

If the quotient is a whole number, then 2 and 88,810,368.5 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:

1 177,620,737
-1 -177,620,737

Now, we try dividing 177,620,737 by 3:

177,620,737 ÷ 3 = 59,206,912.3333

If the quotient is a whole number, then 3 and 59,206,912.3333 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:

1 177,620,737
-1 -177,620,737

Let's try dividing by 4:

177,620,737 ÷ 4 = 44,405,184.25

If the quotient is a whole number, then 4 and 44,405,184.25 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:

1 177,620,737
-1 177,620,737
Keep dividing by the next highest number until you cannot divide anymore.

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

1729492032395231,4211,6733,6616,93111,71115,16725,62748,517106,169124,997339,619743,183874,9793,624,9136,124,85325,374,391177,620,737
-1-7-29-49-203-239-523-1,421-1,673-3,661-6,931-11,711-15,167-25,627-48,517-106,169-124,997-339,619-743,183-874,979-3,624,913-6,124,853-25,374,391-177,620,737

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