Q: What are the factor combinations of the number 161,315?

 A:
Positive:   1 x 1613155 x 322637 x 2304511 x 1466535 x 460955 x 293377 x 2095385 x 419
Negative: -1 x -161315-5 x -32263-7 x -23045-11 x -14665-35 x -4609-55 x -2933-77 x -2095-385 x -419


How do I find the factor combinations of the number 161,315?

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 161,315, 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.

1 161,315
-1 -161,315

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 161,315.

Example:
1 x 161,315 = 161,315
and
-1 x -161,315 = 161,315
Notice both answers equal 161,315

With that explanation out of the way, let's continue. Next, we take the number 161,315 and divide it by 2:

161,315 ÷ 2 = 80,657.5

If the quotient is a whole number, then 2 and 80,657.5 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:

1 161,315
-1 -161,315

Now, we try dividing 161,315 by 3:

161,315 ÷ 3 = 53,771.6667

If the quotient is a whole number, then 3 and 53,771.6667 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:

1 161,315
-1 -161,315

Let's try dividing by 4:

161,315 ÷ 4 = 40,328.75

If the quotient is a whole number, then 4 and 40,328.75 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:

1 161,315
-1 161,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773854192,0952,9334,60914,66523,04532,263161,315
-1-5-7-11-35-55-77-385-419-2,095-2,933-4,609-14,665-23,045-32,263-161,315

More Examples

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