Q: What are the factor combinations of the number 147,312,055?

 A:
Positive:   1 x 1473120555 x 2946241111 x 1339200517 x 866541555 x 267840185 x 1733083121 x 1217455187 x 787765605 x 243491935 x 1575532057 x 7161510285 x 14323
Negative: -1 x -147312055-5 x -29462411-11 x -13392005-17 x -8665415-55 x -2678401-85 x -1733083-121 x -1217455-187 x -787765-605 x -243491-935 x -157553-2057 x -71615-10285 x -14323


How do I find the factor combinations of the number 147,312,055?

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 147,312,055, 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.

1 147,312,055
-1 -147,312,055

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 147,312,055.

Example:
1 x 147,312,055 = 147,312,055
and
-1 x -147,312,055 = 147,312,055
Notice both answers equal 147,312,055

With that explanation out of the way, let's continue. Next, we take the number 147,312,055 and divide it by 2:

147,312,055 ÷ 2 = 73,656,027.5

If the quotient is a whole number, then 2 and 73,656,027.5 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:

1 147,312,055
-1 -147,312,055

Now, we try dividing 147,312,055 by 3:

147,312,055 ÷ 3 = 49,104,018.3333

If the quotient is a whole number, then 3 and 49,104,018.3333 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:

1 147,312,055
-1 -147,312,055

Let's try dividing by 4:

147,312,055 ÷ 4 = 36,828,013.75

If the quotient is a whole number, then 4 and 36,828,013.75 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:

1 147,312,055
-1 147,312,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851211876059352,05710,28514,32371,615157,553243,491787,7651,217,4551,733,0832,678,4018,665,41513,392,00529,462,411147,312,055
-1-5-11-17-55-85-121-187-605-935-2,057-10,285-14,323-71,615-157,553-243,491-787,765-1,217,455-1,733,083-2,678,401-8,665,415-13,392,005-29,462,411-147,312,055

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