Q: What are the factor combinations of the number 163,344,545?

 A:
Positive:   1 x 1633445455 x 326689097 x 2333493513 x 1256496535 x 466698765 x 251299391 x 1794995455 x 358999
Negative: -1 x -163344545-5 x -32668909-7 x -23334935-13 x -12564965-35 x -4666987-65 x -2512993-91 x -1794995-455 x -358999


How do I find the factor combinations of the number 163,344,545?

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 163,344,545, 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.

1 163,344,545
-1 -163,344,545

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 163,344,545.

Example:
1 x 163,344,545 = 163,344,545
and
-1 x -163,344,545 = 163,344,545
Notice both answers equal 163,344,545

With that explanation out of the way, let's continue. Next, we take the number 163,344,545 and divide it by 2:

163,344,545 ÷ 2 = 81,672,272.5

If the quotient is a whole number, then 2 and 81,672,272.5 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:

1 163,344,545
-1 -163,344,545

Now, we try dividing 163,344,545 by 3:

163,344,545 ÷ 3 = 54,448,181.6667

If the quotient is a whole number, then 3 and 54,448,181.6667 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:

1 163,344,545
-1 -163,344,545

Let's try dividing by 4:

163,344,545 ÷ 4 = 40,836,136.25

If the quotient is a whole number, then 4 and 40,836,136.25 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:

1 163,344,545
-1 163,344,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15713356591455358,9991,794,9952,512,9934,666,98712,564,96523,334,93532,668,909163,344,545
-1-5-7-13-35-65-91-455-358,999-1,794,995-2,512,993-4,666,987-12,564,965-23,334,935-32,668,909-163,344,545

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