Q: What are the factor combinations of the number 160,586,023?

 A:
Positive:   1 x 16058602313 x 1235277123 x 698200159 x 2721797299 x 537077767 x 2093691357 x 1183399103 x 17641
Negative: -1 x -160586023-13 x -12352771-23 x -6982001-59 x -2721797-299 x -537077-767 x -209369-1357 x -118339-9103 x -17641


How do I find the factor combinations of the number 160,586,023?

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 160,586,023, 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.

1 160,586,023
-1 -160,586,023

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 160,586,023.

Example:
1 x 160,586,023 = 160,586,023
and
-1 x -160,586,023 = 160,586,023
Notice both answers equal 160,586,023

With that explanation out of the way, let's continue. Next, we take the number 160,586,023 and divide it by 2:

160,586,023 ÷ 2 = 80,293,011.5

If the quotient is a whole number, then 2 and 80,293,011.5 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:

1 160,586,023
-1 -160,586,023

Now, we try dividing 160,586,023 by 3:

160,586,023 ÷ 3 = 53,528,674.3333

If the quotient is a whole number, then 3 and 53,528,674.3333 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:

1 160,586,023
-1 -160,586,023

Let's try dividing by 4:

160,586,023 ÷ 4 = 40,146,505.75

If the quotient is a whole number, then 4 and 40,146,505.75 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:

1 160,586,023
-1 160,586,023
Keep dividing by the next highest number until you cannot divide anymore.

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

11323592997671,3579,10317,641118,339209,369537,0772,721,7976,982,00112,352,771160,586,023
-1-13-23-59-299-767-1,357-9,103-17,641-118,339-209,369-537,077-2,721,797-6,982,001-12,352,771-160,586,023

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 160,586,023:


Ask a Question