Q: What are the factor combinations of the number 177,164,525?

 A:
Positive:   1 x 1771645255 x 3543290525 x 708658171 x 2495275151 x 1173275355 x 499055661 x 268025755 x 2346551775 x 998113305 x 536053775 x 4693110721 x 16525
Negative: -1 x -177164525-5 x -35432905-25 x -7086581-71 x -2495275-151 x -1173275-355 x -499055-661 x -268025-755 x -234655-1775 x -99811-3305 x -53605-3775 x -46931-10721 x -16525


How do I find the factor combinations of the number 177,164,525?

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 177,164,525, 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.

1 177,164,525
-1 -177,164,525

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 177,164,525.

Example:
1 x 177,164,525 = 177,164,525
and
-1 x -177,164,525 = 177,164,525
Notice both answers equal 177,164,525

With that explanation out of the way, let's continue. Next, we take the number 177,164,525 and divide it by 2:

177,164,525 ÷ 2 = 88,582,262.5

If the quotient is a whole number, then 2 and 88,582,262.5 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:

1 177,164,525
-1 -177,164,525

Now, we try dividing 177,164,525 by 3:

177,164,525 ÷ 3 = 59,054,841.6667

If the quotient is a whole number, then 3 and 59,054,841.6667 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:

1 177,164,525
-1 -177,164,525

Let's try dividing by 4:

177,164,525 ÷ 4 = 44,291,131.25

If the quotient is a whole number, then 4 and 44,291,131.25 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:

1 177,164,525
-1 177,164,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1525711513556617551,7753,3053,77510,72116,52546,93153,60599,811234,655268,025499,0551,173,2752,495,2757,086,58135,432,905177,164,525
-1-5-25-71-151-355-661-755-1,775-3,305-3,775-10,721-16,525-46,931-53,605-99,811-234,655-268,025-499,055-1,173,275-2,495,275-7,086,581-35,432,905-177,164,525

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