Q: What are the factor combinations of the number 163,202,501?

 A:
Positive:   1 x 1632025017 x 2331464311 x 1483659143 x 379540777 x 2119513121 x 1348781301 x 542201473 x 345037847 x 1926833311 x 492914481 x 364215203 x 31367
Negative: -1 x -163202501-7 x -23314643-11 x -14836591-43 x -3795407-77 x -2119513-121 x -1348781-301 x -542201-473 x -345037-847 x -192683-3311 x -49291-4481 x -36421-5203 x -31367


How do I find the factor combinations of the number 163,202,501?

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 163,202,501, 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.

1 163,202,501
-1 -163,202,501

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 163,202,501.

Example:
1 x 163,202,501 = 163,202,501
and
-1 x -163,202,501 = 163,202,501
Notice both answers equal 163,202,501

With that explanation out of the way, let's continue. Next, we take the number 163,202,501 and divide it by 2:

163,202,501 ÷ 2 = 81,601,250.5

If the quotient is a whole number, then 2 and 81,601,250.5 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:

1 163,202,501
-1 -163,202,501

Now, we try dividing 163,202,501 by 3:

163,202,501 ÷ 3 = 54,400,833.6667

If the quotient is a whole number, then 3 and 54,400,833.6667 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:

1 163,202,501
-1 -163,202,501

Let's try dividing by 4:

163,202,501 ÷ 4 = 40,800,625.25

If the quotient is a whole number, then 4 and 40,800,625.25 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:

1 163,202,501
-1 163,202,501
Keep dividing by the next highest number until you cannot divide anymore.

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

171143771213014738473,3114,4815,20331,36736,42149,291192,683345,037542,2011,348,7812,119,5133,795,40714,836,59123,314,643163,202,501
-1-7-11-43-77-121-301-473-847-3,311-4,481-5,203-31,367-36,421-49,291-192,683-345,037-542,201-1,348,781-2,119,513-3,795,407-14,836,591-23,314,643-163,202,501

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