Q: What are the factor combinations of the number 156,565,519?

 A:
Positive:   1 x 15656551911 x 1423322929 x 5398811173 x 905003319 x 4908011903 x 822732837 x 551875017 x 31207
Negative: -1 x -156565519-11 x -14233229-29 x -5398811-173 x -905003-319 x -490801-1903 x -82273-2837 x -55187-5017 x -31207


How do I find the factor combinations of the number 156,565,519?

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 156,565,519, 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.

1 156,565,519
-1 -156,565,519

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 156,565,519.

Example:
1 x 156,565,519 = 156,565,519
and
-1 x -156,565,519 = 156,565,519
Notice both answers equal 156,565,519

With that explanation out of the way, let's continue. Next, we take the number 156,565,519 and divide it by 2:

156,565,519 ÷ 2 = 78,282,759.5

If the quotient is a whole number, then 2 and 78,282,759.5 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:

1 156,565,519
-1 -156,565,519

Now, we try dividing 156,565,519 by 3:

156,565,519 ÷ 3 = 52,188,506.3333

If the quotient is a whole number, then 3 and 52,188,506.3333 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:

1 156,565,519
-1 -156,565,519

Let's try dividing by 4:

156,565,519 ÷ 4 = 39,141,379.75

If the quotient is a whole number, then 4 and 39,141,379.75 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:

1 156,565,519
-1 156,565,519
Keep dividing by the next highest number until you cannot divide anymore.

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

111291733191,9032,8375,01731,20755,18782,273490,801905,0035,398,81114,233,229156,565,519
-1-11-29-173-319-1,903-2,837-5,017-31,207-55,187-82,273-490,801-905,003-5,398,811-14,233,229-156,565,519

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