Q: What are the factor combinations of the number 157,824,073?

 A:
Positive:   1 x 15782407311 x 1434764317 x 928376947 x 3357959187 x 843979517 x 305269799 x 1975278789 x 17957
Negative: -1 x -157824073-11 x -14347643-17 x -9283769-47 x -3357959-187 x -843979-517 x -305269-799 x -197527-8789 x -17957


How do I find the factor combinations of the number 157,824,073?

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 157,824,073, 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.

1 157,824,073
-1 -157,824,073

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 157,824,073.

Example:
1 x 157,824,073 = 157,824,073
and
-1 x -157,824,073 = 157,824,073
Notice both answers equal 157,824,073

With that explanation out of the way, let's continue. Next, we take the number 157,824,073 and divide it by 2:

157,824,073 ÷ 2 = 78,912,036.5

If the quotient is a whole number, then 2 and 78,912,036.5 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:

1 157,824,073
-1 -157,824,073

Now, we try dividing 157,824,073 by 3:

157,824,073 ÷ 3 = 52,608,024.3333

If the quotient is a whole number, then 3 and 52,608,024.3333 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:

1 157,824,073
-1 -157,824,073

Let's try dividing by 4:

157,824,073 ÷ 4 = 39,456,018.25

If the quotient is a whole number, then 4 and 39,456,018.25 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:

1 157,824,073
-1 157,824,073
Keep dividing by the next highest number until you cannot divide anymore.

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

11117471875177998,78917,957197,527305,269843,9793,357,9599,283,76914,347,643157,824,073
-1-11-17-47-187-517-799-8,789-17,957-197,527-305,269-843,979-3,357,959-9,283,769-14,347,643-157,824,073

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