Q: What are the factor combinations of the number 163,415?

 A:
Positive:   1 x 1634155 x 326837 x 2334523 x 710529 x 563535 x 466949 x 3335115 x 1421145 x 1127161 x 1015203 x 805245 x 667
Negative: -1 x -163415-5 x -32683-7 x -23345-23 x -7105-29 x -5635-35 x -4669-49 x -3335-115 x -1421-145 x -1127-161 x -1015-203 x -805-245 x -667


How do I find the factor combinations of the number 163,415?

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 163,415, 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.

1 163,415
-1 -163,415

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 163,415.

Example:
1 x 163,415 = 163,415
and
-1 x -163,415 = 163,415
Notice both answers equal 163,415

With that explanation out of the way, let's continue. Next, we take the number 163,415 and divide it by 2:

163,415 ÷ 2 = 81,707.5

If the quotient is a whole number, then 2 and 81,707.5 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:

1 163,415
-1 -163,415

Now, we try dividing 163,415 by 3:

163,415 ÷ 3 = 54,471.6667

If the quotient is a whole number, then 3 and 54,471.6667 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:

1 163,415
-1 -163,415

Let's try dividing by 4:

163,415 ÷ 4 = 40,853.75

If the quotient is a whole number, then 4 and 40,853.75 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:

1 163,415
-1 163,415
Keep dividing by the next highest number until you cannot divide anymore.

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

157232935491151451612032456678051,0151,1271,4213,3354,6695,6357,10523,34532,683163,415
-1-5-7-23-29-35-49-115-145-161-203-245-667-805-1,015-1,127-1,421-3,335-4,669-5,635-7,105-23,345-32,683-163,415

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 163,415:


Ask a Question