Q: What are the factor combinations of the number 141,440,321?

 A:
Positive:   1 x 14144032111 x 1285821131 x 4562591103 x 1373207341 x 4147811133 x 1248373193 x 442974027 x 35123
Negative: -1 x -141440321-11 x -12858211-31 x -4562591-103 x -1373207-341 x -414781-1133 x -124837-3193 x -44297-4027 x -35123


How do I find the factor combinations of the number 141,440,321?

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 141,440,321, 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.

1 141,440,321
-1 -141,440,321

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 141,440,321.

Example:
1 x 141,440,321 = 141,440,321
and
-1 x -141,440,321 = 141,440,321
Notice both answers equal 141,440,321

With that explanation out of the way, let's continue. Next, we take the number 141,440,321 and divide it by 2:

141,440,321 ÷ 2 = 70,720,160.5

If the quotient is a whole number, then 2 and 70,720,160.5 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:

1 141,440,321
-1 -141,440,321

Now, we try dividing 141,440,321 by 3:

141,440,321 ÷ 3 = 47,146,773.6667

If the quotient is a whole number, then 3 and 47,146,773.6667 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:

1 141,440,321
-1 -141,440,321

Let's try dividing by 4:

141,440,321 ÷ 4 = 35,360,080.25

If the quotient is a whole number, then 4 and 35,360,080.25 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:

1 141,440,321
-1 141,440,321
Keep dividing by the next highest number until you cannot divide anymore.

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

111311033411,1333,1934,02735,12344,297124,837414,7811,373,2074,562,59112,858,211141,440,321
-1-11-31-103-341-1,133-3,193-4,027-35,123-44,297-124,837-414,781-1,373,207-4,562,591-12,858,211-141,440,321

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