Q: What are the factor combinations of the number 140,225,333?

 A:
Positive:   1 x 14022533317 x 824854953 x 2645761103 x 1361411901 x 1556331511 x 928031751 x 800835459 x 25687
Negative: -1 x -140225333-17 x -8248549-53 x -2645761-103 x -1361411-901 x -155633-1511 x -92803-1751 x -80083-5459 x -25687


How do I find the factor combinations of the number 140,225,333?

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 140,225,333, 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.

1 140,225,333
-1 -140,225,333

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 140,225,333.

Example:
1 x 140,225,333 = 140,225,333
and
-1 x -140,225,333 = 140,225,333
Notice both answers equal 140,225,333

With that explanation out of the way, let's continue. Next, we take the number 140,225,333 and divide it by 2:

140,225,333 ÷ 2 = 70,112,666.5

If the quotient is a whole number, then 2 and 70,112,666.5 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:

1 140,225,333
-1 -140,225,333

Now, we try dividing 140,225,333 by 3:

140,225,333 ÷ 3 = 46,741,777.6667

If the quotient is a whole number, then 3 and 46,741,777.6667 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:

1 140,225,333
-1 -140,225,333

Let's try dividing by 4:

140,225,333 ÷ 4 = 35,056,333.25

If the quotient is a whole number, then 4 and 35,056,333.25 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:

1 140,225,333
-1 140,225,333
Keep dividing by the next highest number until you cannot divide anymore.

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

117531039011,5111,7515,45925,68780,08392,803155,6331,361,4112,645,7618,248,549140,225,333
-1-17-53-103-901-1,511-1,751-5,459-25,687-80,083-92,803-155,633-1,361,411-2,645,761-8,248,549-140,225,333

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