Q: What are the factor combinations of the number 148,792,157?

 A:
Positive:   1 x 14879215731 x 479974741 x 3629077167 x 890971701 x 2122571271 x 1170675177 x 287416847 x 21731
Negative: -1 x -148792157-31 x -4799747-41 x -3629077-167 x -890971-701 x -212257-1271 x -117067-5177 x -28741-6847 x -21731


How do I find the factor combinations of the number 148,792,157?

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 148,792,157, 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.

1 148,792,157
-1 -148,792,157

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 148,792,157.

Example:
1 x 148,792,157 = 148,792,157
and
-1 x -148,792,157 = 148,792,157
Notice both answers equal 148,792,157

With that explanation out of the way, let's continue. Next, we take the number 148,792,157 and divide it by 2:

148,792,157 ÷ 2 = 74,396,078.5

If the quotient is a whole number, then 2 and 74,396,078.5 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:

1 148,792,157
-1 -148,792,157

Now, we try dividing 148,792,157 by 3:

148,792,157 ÷ 3 = 49,597,385.6667

If the quotient is a whole number, then 3 and 49,597,385.6667 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:

1 148,792,157
-1 -148,792,157

Let's try dividing by 4:

148,792,157 ÷ 4 = 37,198,039.25

If the quotient is a whole number, then 4 and 37,198,039.25 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:

1 148,792,157
-1 148,792,157
Keep dividing by the next highest number until you cannot divide anymore.

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

131411677011,2715,1776,84721,73128,741117,067212,257890,9713,629,0774,799,747148,792,157
-1-31-41-167-701-1,271-5,177-6,847-21,731-28,741-117,067-212,257-890,971-3,629,077-4,799,747-148,792,157

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