Q: What are the factor combinations of the number 163,225,733?

 A:
Positive:   1 x 16322573311 x 1483870323 x 709677189 x 1833997121 x 1348973253 x 645161659 x 247687979 x 1667272047 x 797392783 x 586517249 x 2251710769 x 15157
Negative: -1 x -163225733-11 x -14838703-23 x -7096771-89 x -1833997-121 x -1348973-253 x -645161-659 x -247687-979 x -166727-2047 x -79739-2783 x -58651-7249 x -22517-10769 x -15157


How do I find the factor combinations of the number 163,225,733?

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 163,225,733, 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.

1 163,225,733
-1 -163,225,733

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 163,225,733.

Example:
1 x 163,225,733 = 163,225,733
and
-1 x -163,225,733 = 163,225,733
Notice both answers equal 163,225,733

With that explanation out of the way, let's continue. Next, we take the number 163,225,733 and divide it by 2:

163,225,733 ÷ 2 = 81,612,866.5

If the quotient is a whole number, then 2 and 81,612,866.5 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:

1 163,225,733
-1 -163,225,733

Now, we try dividing 163,225,733 by 3:

163,225,733 ÷ 3 = 54,408,577.6667

If the quotient is a whole number, then 3 and 54,408,577.6667 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:

1 163,225,733
-1 -163,225,733

Let's try dividing by 4:

163,225,733 ÷ 4 = 40,806,433.25

If the quotient is a whole number, then 4 and 40,806,433.25 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:

1 163,225,733
-1 163,225,733
Keep dividing by the next highest number until you cannot divide anymore.

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

11123891212536599792,0472,7837,24910,76915,15722,51758,65179,739166,727247,687645,1611,348,9731,833,9977,096,77114,838,703163,225,733
-1-11-23-89-121-253-659-979-2,047-2,783-7,249-10,769-15,157-22,517-58,651-79,739-166,727-247,687-645,161-1,348,973-1,833,997-7,096,771-14,838,703-163,225,733

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