Q: What are the factor combinations of the number 179,418,463?

 A:
Positive:   1 x 1794184637 x 2563120919 x 9443077133 x 1349011337 x 5323992359 x 760574003 x 448216403 x 28021
Negative: -1 x -179418463-7 x -25631209-19 x -9443077-133 x -1349011-337 x -532399-2359 x -76057-4003 x -44821-6403 x -28021


How do I find the factor combinations of the number 179,418,463?

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 179,418,463, 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.

1 179,418,463
-1 -179,418,463

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 179,418,463.

Example:
1 x 179,418,463 = 179,418,463
and
-1 x -179,418,463 = 179,418,463
Notice both answers equal 179,418,463

With that explanation out of the way, let's continue. Next, we take the number 179,418,463 and divide it by 2:

179,418,463 ÷ 2 = 89,709,231.5

If the quotient is a whole number, then 2 and 89,709,231.5 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:

1 179,418,463
-1 -179,418,463

Now, we try dividing 179,418,463 by 3:

179,418,463 ÷ 3 = 59,806,154.3333

If the quotient is a whole number, then 3 and 59,806,154.3333 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:

1 179,418,463
-1 -179,418,463

Let's try dividing by 4:

179,418,463 ÷ 4 = 44,854,615.75

If the quotient is a whole number, then 4 and 44,854,615.75 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:

1 179,418,463
-1 179,418,463
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333372,3594,0036,40328,02144,82176,057532,3991,349,0119,443,07725,631,209179,418,463
-1-7-19-133-337-2,359-4,003-6,403-28,021-44,821-76,057-532,399-1,349,011-9,443,077-25,631,209-179,418,463

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