Q: What are the factor combinations of the number 360,022,565?

 A:
Positive:   1 x 3600225655 x 720045137 x 5143179523 x 1565315535 x 10286359115 x 3130631161 x 2236165805 x 447233
Negative: -1 x -360022565-5 x -72004513-7 x -51431795-23 x -15653155-35 x -10286359-115 x -3130631-161 x -2236165-805 x -447233


How do I find the factor combinations of the number 360,022,565?

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 360,022,565, 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.

1 360,022,565
-1 -360,022,565

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 360,022,565.

Example:
1 x 360,022,565 = 360,022,565
and
-1 x -360,022,565 = 360,022,565
Notice both answers equal 360,022,565

With that explanation out of the way, let's continue. Next, we take the number 360,022,565 and divide it by 2:

360,022,565 ÷ 2 = 180,011,282.5

If the quotient is a whole number, then 2 and 180,011,282.5 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:

1 360,022,565
-1 -360,022,565

Now, we try dividing 360,022,565 by 3:

360,022,565 ÷ 3 = 120,007,521.6667

If the quotient is a whole number, then 3 and 120,007,521.6667 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:

1 360,022,565
-1 -360,022,565

Let's try dividing by 4:

360,022,565 ÷ 4 = 90,005,641.25

If the quotient is a whole number, then 4 and 90,005,641.25 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:

1 360,022,565
-1 360,022,565
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335115161805447,2332,236,1653,130,63110,286,35915,653,15551,431,79572,004,513360,022,565
-1-5-7-23-35-115-161-805-447,233-2,236,165-3,130,631-10,286,359-15,653,155-51,431,795-72,004,513-360,022,565

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