Q: What are the factor combinations of the number 553,025,435?

 A:
Positive:   1 x 5530254355 x 110605087157 x 3522455433 x 1277195785 x 7044911627 x 3399052165 x 2554398135 x 67981
Negative: -1 x -553025435-5 x -110605087-157 x -3522455-433 x -1277195-785 x -704491-1627 x -339905-2165 x -255439-8135 x -67981


How do I find the factor combinations of the number 553,025,435?

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 553,025,435, 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.

1 553,025,435
-1 -553,025,435

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 553,025,435.

Example:
1 x 553,025,435 = 553,025,435
and
-1 x -553,025,435 = 553,025,435
Notice both answers equal 553,025,435

With that explanation out of the way, let's continue. Next, we take the number 553,025,435 and divide it by 2:

553,025,435 ÷ 2 = 276,512,717.5

If the quotient is a whole number, then 2 and 276,512,717.5 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:

1 553,025,435
-1 -553,025,435

Now, we try dividing 553,025,435 by 3:

553,025,435 ÷ 3 = 184,341,811.6667

If the quotient is a whole number, then 3 and 184,341,811.6667 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:

1 553,025,435
-1 -553,025,435

Let's try dividing by 4:

553,025,435 ÷ 4 = 138,256,358.75

If the quotient is a whole number, then 4 and 138,256,358.75 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:

1 553,025,435
-1 553,025,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151574337851,6272,1658,13567,981255,439339,905704,4911,277,1953,522,455110,605,087553,025,435
-1-5-157-433-785-1,627-2,165-8,135-67,981-255,439-339,905-704,491-1,277,195-3,522,455-110,605,087-553,025,435

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