Q: What are the factor combinations of the number 148,137,055?

 A:
Positive:   1 x 1481370555 x 2962741111 x 1346700555 x 26934011471 x 1007051831 x 809057355 x 201419155 x 16181
Negative: -1 x -148137055-5 x -29627411-11 x -13467005-55 x -2693401-1471 x -100705-1831 x -80905-7355 x -20141-9155 x -16181


How do I find the factor combinations of the number 148,137,055?

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 148,137,055, 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.

1 148,137,055
-1 -148,137,055

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 148,137,055.

Example:
1 x 148,137,055 = 148,137,055
and
-1 x -148,137,055 = 148,137,055
Notice both answers equal 148,137,055

With that explanation out of the way, let's continue. Next, we take the number 148,137,055 and divide it by 2:

148,137,055 ÷ 2 = 74,068,527.5

If the quotient is a whole number, then 2 and 74,068,527.5 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:

1 148,137,055
-1 -148,137,055

Now, we try dividing 148,137,055 by 3:

148,137,055 ÷ 3 = 49,379,018.3333

If the quotient is a whole number, then 3 and 49,379,018.3333 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:

1 148,137,055
-1 -148,137,055

Let's try dividing by 4:

148,137,055 ÷ 4 = 37,034,263.75

If the quotient is a whole number, then 4 and 37,034,263.75 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:

1 148,137,055
-1 148,137,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,4711,8317,3559,15516,18120,14180,905100,7052,693,40113,467,00529,627,411148,137,055
-1-5-11-55-1,471-1,831-7,355-9,155-16,181-20,141-80,905-100,705-2,693,401-13,467,005-29,627,411-148,137,055

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