Q: What are the factor combinations of the number 160,102,163?

 A:
Positive:   1 x 16010216313 x 1231555147 x 3406429157 x 1019759611 x 2620331669 x 959272041 x 784437379 x 21697
Negative: -1 x -160102163-13 x -12315551-47 x -3406429-157 x -1019759-611 x -262033-1669 x -95927-2041 x -78443-7379 x -21697


How do I find the factor combinations of the number 160,102,163?

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 160,102,163, 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.

1 160,102,163
-1 -160,102,163

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 160,102,163.

Example:
1 x 160,102,163 = 160,102,163
and
-1 x -160,102,163 = 160,102,163
Notice both answers equal 160,102,163

With that explanation out of the way, let's continue. Next, we take the number 160,102,163 and divide it by 2:

160,102,163 ÷ 2 = 80,051,081.5

If the quotient is a whole number, then 2 and 80,051,081.5 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:

1 160,102,163
-1 -160,102,163

Now, we try dividing 160,102,163 by 3:

160,102,163 ÷ 3 = 53,367,387.6667

If the quotient is a whole number, then 3 and 53,367,387.6667 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:

1 160,102,163
-1 -160,102,163

Let's try dividing by 4:

160,102,163 ÷ 4 = 40,025,540.75

If the quotient is a whole number, then 4 and 40,025,540.75 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:

1 160,102,163
-1 160,102,163
Keep dividing by the next highest number until you cannot divide anymore.

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

113471576111,6692,0417,37921,69778,44395,927262,0331,019,7593,406,42912,315,551160,102,163
-1-13-47-157-611-1,669-2,041-7,379-21,697-78,443-95,927-262,033-1,019,759-3,406,429-12,315,551-160,102,163

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 160,102,163:


Ask a Question