Q: What are the factor combinations of the number 372,251,003?

 A:
Positive:   1 x 372251003197 x 1889599523 x 7117613613 x 103031
Negative: -1 x -372251003-197 x -1889599-523 x -711761-3613 x -103031


How do I find the factor combinations of the number 372,251,003?

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 372,251,003, 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.

1 372,251,003
-1 -372,251,003

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 372,251,003.

Example:
1 x 372,251,003 = 372,251,003
and
-1 x -372,251,003 = 372,251,003
Notice both answers equal 372,251,003

With that explanation out of the way, let's continue. Next, we take the number 372,251,003 and divide it by 2:

372,251,003 ÷ 2 = 186,125,501.5

If the quotient is a whole number, then 2 and 186,125,501.5 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:

1 372,251,003
-1 -372,251,003

Now, we try dividing 372,251,003 by 3:

372,251,003 ÷ 3 = 124,083,667.6667

If the quotient is a whole number, then 3 and 124,083,667.6667 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:

1 372,251,003
-1 -372,251,003

Let's try dividing by 4:

372,251,003 ÷ 4 = 93,062,750.75

If the quotient is a whole number, then 4 and 93,062,750.75 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:

1 372,251,003
-1 372,251,003
Keep dividing by the next highest number until you cannot divide anymore.

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

11975233,613103,031711,7611,889,599372,251,003
-1-197-523-3,613-103,031-711,761-1,889,599-372,251,003

More Examples

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