Q: What are the factor combinations of the number 564,324,415?

 A:
Positive:   1 x 5643244155 x 11286488319 x 2970128595 x 59402572347 x 2404452531 x 22296511735 x 4808912655 x 44593
Negative: -1 x -564324415-5 x -112864883-19 x -29701285-95 x -5940257-2347 x -240445-2531 x -222965-11735 x -48089-12655 x -44593


How do I find the factor combinations of the number 564,324,415?

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 564,324,415, 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.

1 564,324,415
-1 -564,324,415

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 564,324,415.

Example:
1 x 564,324,415 = 564,324,415
and
-1 x -564,324,415 = 564,324,415
Notice both answers equal 564,324,415

With that explanation out of the way, let's continue. Next, we take the number 564,324,415 and divide it by 2:

564,324,415 ÷ 2 = 282,162,207.5

If the quotient is a whole number, then 2 and 282,162,207.5 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:

1 564,324,415
-1 -564,324,415

Now, we try dividing 564,324,415 by 3:

564,324,415 ÷ 3 = 188,108,138.3333

If the quotient is a whole number, then 3 and 188,108,138.3333 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:

1 564,324,415
-1 -564,324,415

Let's try dividing by 4:

564,324,415 ÷ 4 = 141,081,103.75

If the quotient is a whole number, then 4 and 141,081,103.75 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:

1 564,324,415
-1 564,324,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1519952,3472,53111,73512,65544,59348,089222,965240,4455,940,25729,701,285112,864,883564,324,415
-1-5-19-95-2,347-2,531-11,735-12,655-44,593-48,089-222,965-240,445-5,940,257-29,701,285-112,864,883-564,324,415

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