Q: What are the factor combinations of the number 240,622,501?

 A:
Positive:   1 x 2406225017 x 34374643101 x 2382401211 x 1140391707 x 3403431477 x 1629131613 x 14917711291 x 21311
Negative: -1 x -240622501-7 x -34374643-101 x -2382401-211 x -1140391-707 x -340343-1477 x -162913-1613 x -149177-11291 x -21311


How do I find the factor combinations of the number 240,622,501?

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 240,622,501, 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.

1 240,622,501
-1 -240,622,501

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 240,622,501.

Example:
1 x 240,622,501 = 240,622,501
and
-1 x -240,622,501 = 240,622,501
Notice both answers equal 240,622,501

With that explanation out of the way, let's continue. Next, we take the number 240,622,501 and divide it by 2:

240,622,501 ÷ 2 = 120,311,250.5

If the quotient is a whole number, then 2 and 120,311,250.5 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:

1 240,622,501
-1 -240,622,501

Now, we try dividing 240,622,501 by 3:

240,622,501 ÷ 3 = 80,207,500.3333

If the quotient is a whole number, then 3 and 80,207,500.3333 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:

1 240,622,501
-1 -240,622,501

Let's try dividing by 4:

240,622,501 ÷ 4 = 60,155,625.25

If the quotient is a whole number, then 4 and 60,155,625.25 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:

1 240,622,501
-1 240,622,501
Keep dividing by the next highest number until you cannot divide anymore.

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

171012117071,4771,61311,29121,311149,177162,913340,3431,140,3912,382,40134,374,643240,622,501
-1-7-101-211-707-1,477-1,613-11,291-21,311-149,177-162,913-340,343-1,140,391-2,382,401-34,374,643-240,622,501

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