Q: What are the factor combinations of the number 163,503,425?

 A:
Positive:   1 x 1635034255 x 3270068525 x 65401371499 x 1090754363 x 374757495 x 21815
Negative: -1 x -163503425-5 x -32700685-25 x -6540137-1499 x -109075-4363 x -37475-7495 x -21815


How do I find the factor combinations of the number 163,503,425?

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 163,503,425, 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.

1 163,503,425
-1 -163,503,425

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 163,503,425.

Example:
1 x 163,503,425 = 163,503,425
and
-1 x -163,503,425 = 163,503,425
Notice both answers equal 163,503,425

With that explanation out of the way, let's continue. Next, we take the number 163,503,425 and divide it by 2:

163,503,425 ÷ 2 = 81,751,712.5

If the quotient is a whole number, then 2 and 81,751,712.5 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:

1 163,503,425
-1 -163,503,425

Now, we try dividing 163,503,425 by 3:

163,503,425 ÷ 3 = 54,501,141.6667

If the quotient is a whole number, then 3 and 54,501,141.6667 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:

1 163,503,425
-1 -163,503,425

Let's try dividing by 4:

163,503,425 ÷ 4 = 40,875,856.25

If the quotient is a whole number, then 4 and 40,875,856.25 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:

1 163,503,425
-1 163,503,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15251,4994,3637,49521,81537,475109,0756,540,13732,700,685163,503,425
-1-5-25-1,499-4,363-7,495-21,815-37,475-109,075-6,540,137-32,700,685-163,503,425

More Examples

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