Q: What are the factor combinations of the number 253,600,427?

 A:
Positive:   1 x 25360042767 x 378508171 x 357183789 x 2849443599 x 4233734757 x 533115963 x 425296319 x 40133
Negative: -1 x -253600427-67 x -3785081-71 x -3571837-89 x -2849443-599 x -423373-4757 x -53311-5963 x -42529-6319 x -40133


How do I find the factor combinations of the number 253,600,427?

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 253,600,427, 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.

1 253,600,427
-1 -253,600,427

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 253,600,427.

Example:
1 x 253,600,427 = 253,600,427
and
-1 x -253,600,427 = 253,600,427
Notice both answers equal 253,600,427

With that explanation out of the way, let's continue. Next, we take the number 253,600,427 and divide it by 2:

253,600,427 ÷ 2 = 126,800,213.5

If the quotient is a whole number, then 2 and 126,800,213.5 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:

1 253,600,427
-1 -253,600,427

Now, we try dividing 253,600,427 by 3:

253,600,427 ÷ 3 = 84,533,475.6667

If the quotient is a whole number, then 3 and 84,533,475.6667 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:

1 253,600,427
-1 -253,600,427

Let's try dividing by 4:

253,600,427 ÷ 4 = 63,400,106.75

If the quotient is a whole number, then 4 and 63,400,106.75 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:

1 253,600,427
-1 253,600,427
Keep dividing by the next highest number until you cannot divide anymore.

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

16771895994,7575,9636,31940,13342,52953,311423,3732,849,4433,571,8373,785,081253,600,427
-1-67-71-89-599-4,757-5,963-6,319-40,133-42,529-53,311-423,373-2,849,443-3,571,837-3,785,081-253,600,427

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