Q: What are the factor combinations of the number 371,520,433?

 A:
Positive:   1 x 37152043319 x 1955370773 x 5089321277 x 1341229967 x 3841991387 x 2678595263 x 7059118373 x 20221
Negative: -1 x -371520433-19 x -19553707-73 x -5089321-277 x -1341229-967 x -384199-1387 x -267859-5263 x -70591-18373 x -20221


How do I find the factor combinations of the number 371,520,433?

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 371,520,433, 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.

1 371,520,433
-1 -371,520,433

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 371,520,433.

Example:
1 x 371,520,433 = 371,520,433
and
-1 x -371,520,433 = 371,520,433
Notice both answers equal 371,520,433

With that explanation out of the way, let's continue. Next, we take the number 371,520,433 and divide it by 2:

371,520,433 ÷ 2 = 185,760,216.5

If the quotient is a whole number, then 2 and 185,760,216.5 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:

1 371,520,433
-1 -371,520,433

Now, we try dividing 371,520,433 by 3:

371,520,433 ÷ 3 = 123,840,144.3333

If the quotient is a whole number, then 3 and 123,840,144.3333 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:

1 371,520,433
-1 -371,520,433

Let's try dividing by 4:

371,520,433 ÷ 4 = 92,880,108.25

If the quotient is a whole number, then 4 and 92,880,108.25 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:

1 371,520,433
-1 371,520,433
Keep dividing by the next highest number until you cannot divide anymore.

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

119732779671,3875,26318,37320,22170,591267,859384,1991,341,2295,089,32119,553,707371,520,433
-1-19-73-277-967-1,387-5,263-18,373-20,221-70,591-267,859-384,199-1,341,229-5,089,321-19,553,707-371,520,433

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