Q: What are the factor combinations of the number 577,400,369?

 A:
Positive:   1 x 5774003697 x 8248576713 x 4441541349 x 1178368191 x 6345059343 x 1683383637 x 9064374459 x 129491
Negative: -1 x -577400369-7 x -82485767-13 x -44415413-49 x -11783681-91 x -6345059-343 x -1683383-637 x -906437-4459 x -129491


How do I find the factor combinations of the number 577,400,369?

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 577,400,369, 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.

1 577,400,369
-1 -577,400,369

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 577,400,369.

Example:
1 x 577,400,369 = 577,400,369
and
-1 x -577,400,369 = 577,400,369
Notice both answers equal 577,400,369

With that explanation out of the way, let's continue. Next, we take the number 577,400,369 and divide it by 2:

577,400,369 ÷ 2 = 288,700,184.5

If the quotient is a whole number, then 2 and 288,700,184.5 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:

1 577,400,369
-1 -577,400,369

Now, we try dividing 577,400,369 by 3:

577,400,369 ÷ 3 = 192,466,789.6667

If the quotient is a whole number, then 3 and 192,466,789.6667 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:

1 577,400,369
-1 -577,400,369

Let's try dividing by 4:

577,400,369 ÷ 4 = 144,350,092.25

If the quotient is a whole number, then 4 and 144,350,092.25 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:

1 577,400,369
-1 577,400,369
Keep dividing by the next highest number until you cannot divide anymore.

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

171349913436374,459129,491906,4371,683,3836,345,05911,783,68144,415,41382,485,767577,400,369
-1-7-13-49-91-343-637-4,459-129,491-906,437-1,683,383-6,345,059-11,783,681-44,415,413-82,485,767-577,400,369

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