Q: What are the factor combinations of the number 120,174,245?

 A:
Positive:   1 x 1201742455 x 2403484971 x 1692595355 x 338519503 x 238915673 x 1785652515 x 477833365 x 35713
Negative: -1 x -120174245-5 x -24034849-71 x -1692595-355 x -338519-503 x -238915-673 x -178565-2515 x -47783-3365 x -35713


How do I find the factor combinations of the number 120,174,245?

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 120,174,245, 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.

1 120,174,245
-1 -120,174,245

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 120,174,245.

Example:
1 x 120,174,245 = 120,174,245
and
-1 x -120,174,245 = 120,174,245
Notice both answers equal 120,174,245

With that explanation out of the way, let's continue. Next, we take the number 120,174,245 and divide it by 2:

120,174,245 ÷ 2 = 60,087,122.5

If the quotient is a whole number, then 2 and 60,087,122.5 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:

1 120,174,245
-1 -120,174,245

Now, we try dividing 120,174,245 by 3:

120,174,245 ÷ 3 = 40,058,081.6667

If the quotient is a whole number, then 3 and 40,058,081.6667 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:

1 120,174,245
-1 -120,174,245

Let's try dividing by 4:

120,174,245 ÷ 4 = 30,043,561.25

If the quotient is a whole number, then 4 and 30,043,561.25 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:

1 120,174,245
-1 120,174,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15713555036732,5153,36535,71347,783178,565238,915338,5191,692,59524,034,849120,174,245
-1-5-71-355-503-673-2,515-3,365-35,713-47,783-178,565-238,915-338,519-1,692,595-24,034,849-120,174,245

More Examples

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