Q: What are the factor combinations of the number 160,357,583?

 A:
Positive:   1 x 16035758317 x 9432799107 x 1498669199 x 805817443 x 3619811819 x 881573383 x 474017531 x 21293
Negative: -1 x -160357583-17 x -9432799-107 x -1498669-199 x -805817-443 x -361981-1819 x -88157-3383 x -47401-7531 x -21293


How do I find the factor combinations of the number 160,357,583?

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 160,357,583, 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.

1 160,357,583
-1 -160,357,583

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 160,357,583.

Example:
1 x 160,357,583 = 160,357,583
and
-1 x -160,357,583 = 160,357,583
Notice both answers equal 160,357,583

With that explanation out of the way, let's continue. Next, we take the number 160,357,583 and divide it by 2:

160,357,583 ÷ 2 = 80,178,791.5

If the quotient is a whole number, then 2 and 80,178,791.5 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:

1 160,357,583
-1 -160,357,583

Now, we try dividing 160,357,583 by 3:

160,357,583 ÷ 3 = 53,452,527.6667

If the quotient is a whole number, then 3 and 53,452,527.6667 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:

1 160,357,583
-1 -160,357,583

Let's try dividing by 4:

160,357,583 ÷ 4 = 40,089,395.75

If the quotient is a whole number, then 4 and 40,089,395.75 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:

1 160,357,583
-1 160,357,583
Keep dividing by the next highest number until you cannot divide anymore.

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

1171071994431,8193,3837,53121,29347,40188,157361,981805,8171,498,6699,432,799160,357,583
-1-17-107-199-443-1,819-3,383-7,531-21,293-47,401-88,157-361,981-805,817-1,498,669-9,432,799-160,357,583

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