Q: What are the factor combinations of the number 177,161,735?

 A:
Positive:   1 x 1771617355 x 3543234737 x 478815567 x 2644205185 x 957631335 x 5288412479 x 7146512395 x 14293
Negative: -1 x -177161735-5 x -35432347-37 x -4788155-67 x -2644205-185 x -957631-335 x -528841-2479 x -71465-12395 x -14293


How do I find the factor combinations of the number 177,161,735?

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 177,161,735, 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.

1 177,161,735
-1 -177,161,735

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 177,161,735.

Example:
1 x 177,161,735 = 177,161,735
and
-1 x -177,161,735 = 177,161,735
Notice both answers equal 177,161,735

With that explanation out of the way, let's continue. Next, we take the number 177,161,735 and divide it by 2:

177,161,735 ÷ 2 = 88,580,867.5

If the quotient is a whole number, then 2 and 88,580,867.5 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:

1 177,161,735
-1 -177,161,735

Now, we try dividing 177,161,735 by 3:

177,161,735 ÷ 3 = 59,053,911.6667

If the quotient is a whole number, then 3 and 59,053,911.6667 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:

1 177,161,735
-1 -177,161,735

Let's try dividing by 4:

177,161,735 ÷ 4 = 44,290,433.75

If the quotient is a whole number, then 4 and 44,290,433.75 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:

1 177,161,735
-1 177,161,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1537671853352,47912,39514,29371,465528,841957,6312,644,2054,788,15535,432,347177,161,735
-1-5-37-67-185-335-2,479-12,395-14,293-71,465-528,841-957,631-2,644,205-4,788,155-35,432,347-177,161,735

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