Q: What are the factor combinations of the number 120,044,527?

 A:
Positive:   1 x 12004452719 x 631813359 x 2034653173 x 693899619 x 1939331121 x 1070873287 x 3652110207 x 11761
Negative: -1 x -120044527-19 x -6318133-59 x -2034653-173 x -693899-619 x -193933-1121 x -107087-3287 x -36521-10207 x -11761


How do I find the factor combinations of the number 120,044,527?

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 120,044,527, 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.

1 120,044,527
-1 -120,044,527

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 120,044,527.

Example:
1 x 120,044,527 = 120,044,527
and
-1 x -120,044,527 = 120,044,527
Notice both answers equal 120,044,527

With that explanation out of the way, let's continue. Next, we take the number 120,044,527 and divide it by 2:

120,044,527 ÷ 2 = 60,022,263.5

If the quotient is a whole number, then 2 and 60,022,263.5 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:

1 120,044,527
-1 -120,044,527

Now, we try dividing 120,044,527 by 3:

120,044,527 ÷ 3 = 40,014,842.3333

If the quotient is a whole number, then 3 and 40,014,842.3333 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:

1 120,044,527
-1 -120,044,527

Let's try dividing by 4:

120,044,527 ÷ 4 = 30,011,131.75

If the quotient is a whole number, then 4 and 30,011,131.75 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:

1 120,044,527
-1 120,044,527
Keep dividing by the next highest number until you cannot divide anymore.

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

119591736191,1213,28710,20711,76136,521107,087193,933693,8992,034,6536,318,133120,044,527
-1-19-59-173-619-1,121-3,287-10,207-11,761-36,521-107,087-193,933-693,899-2,034,653-6,318,133-120,044,527

More Examples

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