Q: What are the factor combinations of the number 147,170,125?

 A:
Positive:   1 x 1471701255 x 2943402525 x 588680561 x 2412625125 x 1177361305 x 4825251525 x 965057625 x 19301
Negative: -1 x -147170125-5 x -29434025-25 x -5886805-61 x -2412625-125 x -1177361-305 x -482525-1525 x -96505-7625 x -19301


How do I find the factor combinations of the number 147,170,125?

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 147,170,125, 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.

1 147,170,125
-1 -147,170,125

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 147,170,125.

Example:
1 x 147,170,125 = 147,170,125
and
-1 x -147,170,125 = 147,170,125
Notice both answers equal 147,170,125

With that explanation out of the way, let's continue. Next, we take the number 147,170,125 and divide it by 2:

147,170,125 ÷ 2 = 73,585,062.5

If the quotient is a whole number, then 2 and 73,585,062.5 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:

1 147,170,125
-1 -147,170,125

Now, we try dividing 147,170,125 by 3:

147,170,125 ÷ 3 = 49,056,708.3333

If the quotient is a whole number, then 3 and 49,056,708.3333 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:

1 147,170,125
-1 -147,170,125

Let's try dividing by 4:

147,170,125 ÷ 4 = 36,792,531.25

If the quotient is a whole number, then 4 and 36,792,531.25 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:

1 147,170,125
-1 147,170,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525611253051,5257,62519,30196,505482,5251,177,3612,412,6255,886,80529,434,025147,170,125
-1-5-25-61-125-305-1,525-7,625-19,301-96,505-482,525-1,177,361-2,412,625-5,886,805-29,434,025-147,170,125

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