Q: What are the factor combinations of the number 564,400,445?

 A:
Positive:   1 x 5644004455 x 1128800897 x 8062863535 x 1612572753 x 10649065265 x 2129813371 x 15212951855 x 304259
Negative: -1 x -564400445-5 x -112880089-7 x -80628635-35 x -16125727-53 x -10649065-265 x -2129813-371 x -1521295-1855 x -304259


How do I find the factor combinations of the number 564,400,445?

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 564,400,445, 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.

1 564,400,445
-1 -564,400,445

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 564,400,445.

Example:
1 x 564,400,445 = 564,400,445
and
-1 x -564,400,445 = 564,400,445
Notice both answers equal 564,400,445

With that explanation out of the way, let's continue. Next, we take the number 564,400,445 and divide it by 2:

564,400,445 ÷ 2 = 282,200,222.5

If the quotient is a whole number, then 2 and 282,200,222.5 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:

1 564,400,445
-1 -564,400,445

Now, we try dividing 564,400,445 by 3:

564,400,445 ÷ 3 = 188,133,481.6667

If the quotient is a whole number, then 3 and 188,133,481.6667 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:

1 564,400,445
-1 -564,400,445

Let's try dividing by 4:

564,400,445 ÷ 4 = 141,100,111.25

If the quotient is a whole number, then 4 and 141,100,111.25 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:

1 564,400,445
-1 564,400,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15735532653711,855304,2591,521,2952,129,81310,649,06516,125,72780,628,635112,880,089564,400,445
-1-5-7-35-53-265-371-1,855-304,259-1,521,295-2,129,813-10,649,065-16,125,727-80,628,635-112,880,089-564,400,445

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