Q: What are the factor combinations of the number 179,356,007?

 A:
Positive:   1 x 17935600797 x 18490311021 x 1756671811 x 99037
Negative: -1 x -179356007-97 x -1849031-1021 x -175667-1811 x -99037


How do I find the factor combinations of the number 179,356,007?

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 179,356,007, 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.

1 179,356,007
-1 -179,356,007

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 179,356,007.

Example:
1 x 179,356,007 = 179,356,007
and
-1 x -179,356,007 = 179,356,007
Notice both answers equal 179,356,007

With that explanation out of the way, let's continue. Next, we take the number 179,356,007 and divide it by 2:

179,356,007 ÷ 2 = 89,678,003.5

If the quotient is a whole number, then 2 and 89,678,003.5 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:

1 179,356,007
-1 -179,356,007

Now, we try dividing 179,356,007 by 3:

179,356,007 ÷ 3 = 59,785,335.6667

If the quotient is a whole number, then 3 and 59,785,335.6667 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:

1 179,356,007
-1 -179,356,007

Let's try dividing by 4:

179,356,007 ÷ 4 = 44,839,001.75

If the quotient is a whole number, then 4 and 44,839,001.75 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:

1 179,356,007
-1 179,356,007
Keep dividing by the next highest number until you cannot divide anymore.

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

1971,0211,81199,037175,6671,849,031179,356,007
-1-97-1,021-1,811-99,037-175,667-1,849,031-179,356,007

More Examples

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