Q: What are the factor combinations of the number 157,581,565?

 A:
Positive:   1 x 1575815655 x 31516313251 x 627815307 x 513295409 x 3852851255 x 1255631535 x 1026592045 x 77057
Negative: -1 x -157581565-5 x -31516313-251 x -627815-307 x -513295-409 x -385285-1255 x -125563-1535 x -102659-2045 x -77057


How do I find the factor combinations of the number 157,581,565?

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 157,581,565, 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.

1 157,581,565
-1 -157,581,565

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 157,581,565.

Example:
1 x 157,581,565 = 157,581,565
and
-1 x -157,581,565 = 157,581,565
Notice both answers equal 157,581,565

With that explanation out of the way, let's continue. Next, we take the number 157,581,565 and divide it by 2:

157,581,565 ÷ 2 = 78,790,782.5

If the quotient is a whole number, then 2 and 78,790,782.5 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:

1 157,581,565
-1 -157,581,565

Now, we try dividing 157,581,565 by 3:

157,581,565 ÷ 3 = 52,527,188.3333

If the quotient is a whole number, then 3 and 52,527,188.3333 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:

1 157,581,565
-1 -157,581,565

Let's try dividing by 4:

157,581,565 ÷ 4 = 39,395,391.25

If the quotient is a whole number, then 4 and 39,395,391.25 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:

1 157,581,565
-1 157,581,565
Keep dividing by the next highest number until you cannot divide anymore.

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

152513074091,2551,5352,04577,057102,659125,563385,285513,295627,81531,516,313157,581,565
-1-5-251-307-409-1,255-1,535-2,045-77,057-102,659-125,563-385,285-513,295-627,815-31,516,313-157,581,565

More Examples

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