Q: What are the factor combinations of the number 147,003,571?

 A:
Positive:   1 x 14700357111 x 1336396113 x 11307967143 x 1027997179 x 8212491969 x 746592327 x 631735743 x 25597
Negative: -1 x -147003571-11 x -13363961-13 x -11307967-143 x -1027997-179 x -821249-1969 x -74659-2327 x -63173-5743 x -25597


How do I find the factor combinations of the number 147,003,571?

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 147,003,571, 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.

1 147,003,571
-1 -147,003,571

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 147,003,571.

Example:
1 x 147,003,571 = 147,003,571
and
-1 x -147,003,571 = 147,003,571
Notice both answers equal 147,003,571

With that explanation out of the way, let's continue. Next, we take the number 147,003,571 and divide it by 2:

147,003,571 ÷ 2 = 73,501,785.5

If the quotient is a whole number, then 2 and 73,501,785.5 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:

1 147,003,571
-1 -147,003,571

Now, we try dividing 147,003,571 by 3:

147,003,571 ÷ 3 = 49,001,190.3333

If the quotient is a whole number, then 3 and 49,001,190.3333 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:

1 147,003,571
-1 -147,003,571

Let's try dividing by 4:

147,003,571 ÷ 4 = 36,750,892.75

If the quotient is a whole number, then 4 and 36,750,892.75 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:

1 147,003,571
-1 147,003,571
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431791,9692,3275,74325,59763,17374,659821,2491,027,99711,307,96713,363,961147,003,571
-1-11-13-143-179-1,969-2,327-5,743-25,597-63,173-74,659-821,249-1,027,997-11,307,967-13,363,961-147,003,571

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