Q: What are the factor combinations of the number 240,422,545?

 A:
Positive:   1 x 2404225455 x 4808450911 x 2185659555 x 43713191543 x 1558152833 x 848657715 x 3116314165 x 16973
Negative: -1 x -240422545-5 x -48084509-11 x -21856595-55 x -4371319-1543 x -155815-2833 x -84865-7715 x -31163-14165 x -16973


How do I find the factor combinations of the number 240,422,545?

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 240,422,545, 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.

1 240,422,545
-1 -240,422,545

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 240,422,545.

Example:
1 x 240,422,545 = 240,422,545
and
-1 x -240,422,545 = 240,422,545
Notice both answers equal 240,422,545

With that explanation out of the way, let's continue. Next, we take the number 240,422,545 and divide it by 2:

240,422,545 ÷ 2 = 120,211,272.5

If the quotient is a whole number, then 2 and 120,211,272.5 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:

1 240,422,545
-1 -240,422,545

Now, we try dividing 240,422,545 by 3:

240,422,545 ÷ 3 = 80,140,848.3333

If the quotient is a whole number, then 3 and 80,140,848.3333 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:

1 240,422,545
-1 -240,422,545

Let's try dividing by 4:

240,422,545 ÷ 4 = 60,105,636.25

If the quotient is a whole number, then 4 and 60,105,636.25 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:

1 240,422,545
-1 240,422,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,5432,8337,71514,16516,97331,16384,865155,8154,371,31921,856,59548,084,509240,422,545
-1-5-11-55-1,543-2,833-7,715-14,165-16,973-31,163-84,865-155,815-4,371,319-21,856,595-48,084,509-240,422,545

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