Q: What are the factor combinations of the number 163,273,165?

 A:
Positive:   1 x 1632731655 x 3265463311 x 1484301555 x 2968603121 x 1349365401 x 407165605 x 269873673 x 2426052005 x 814333365 x 485214411 x 370157403 x 22055
Negative: -1 x -163273165-5 x -32654633-11 x -14843015-55 x -2968603-121 x -1349365-401 x -407165-605 x -269873-673 x -242605-2005 x -81433-3365 x -48521-4411 x -37015-7403 x -22055


How do I find the factor combinations of the number 163,273,165?

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 163,273,165, 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.

1 163,273,165
-1 -163,273,165

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 163,273,165.

Example:
1 x 163,273,165 = 163,273,165
and
-1 x -163,273,165 = 163,273,165
Notice both answers equal 163,273,165

With that explanation out of the way, let's continue. Next, we take the number 163,273,165 and divide it by 2:

163,273,165 ÷ 2 = 81,636,582.5

If the quotient is a whole number, then 2 and 81,636,582.5 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:

1 163,273,165
-1 -163,273,165

Now, we try dividing 163,273,165 by 3:

163,273,165 ÷ 3 = 54,424,388.3333

If the quotient is a whole number, then 3 and 54,424,388.3333 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:

1 163,273,165
-1 -163,273,165

Let's try dividing by 4:

163,273,165 ÷ 4 = 40,818,291.25

If the quotient is a whole number, then 4 and 40,818,291.25 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:

1 163,273,165
-1 163,273,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551214016056732,0053,3654,4117,40322,05537,01548,52181,433242,605269,873407,1651,349,3652,968,60314,843,01532,654,633163,273,165
-1-5-11-55-121-401-605-673-2,005-3,365-4,411-7,403-22,055-37,015-48,521-81,433-242,605-269,873-407,165-1,349,365-2,968,603-14,843,015-32,654,633-163,273,165

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