Q: What are the factor combinations of the number 942,877?

 A:
Positive:   1 x 94287713 x 7252929 x 3251341 x 2299761 x 15457377 x 2501533 x 1769793 x 1189
Negative: -1 x -942877-13 x -72529-29 x -32513-41 x -22997-61 x -15457-377 x -2501-533 x -1769-793 x -1189


How do I find the factor combinations of the number 942,877?

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 942,877, 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.

1 942,877
-1 -942,877

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 942,877.

Example:
1 x 942,877 = 942,877
and
-1 x -942,877 = 942,877
Notice both answers equal 942,877

With that explanation out of the way, let's continue. Next, we take the number 942,877 and divide it by 2:

942,877 ÷ 2 = 471,438.5

If the quotient is a whole number, then 2 and 471,438.5 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:

1 942,877
-1 -942,877

Now, we try dividing 942,877 by 3:

942,877 ÷ 3 = 314,292.3333

If the quotient is a whole number, then 3 and 314,292.3333 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:

1 942,877
-1 -942,877

Let's try dividing by 4:

942,877 ÷ 4 = 235,719.25

If the quotient is a whole number, then 4 and 235,719.25 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:

1 942,877
-1 942,877
Keep dividing by the next highest number until you cannot divide anymore.

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

1132941613775337931,1891,7692,50115,45722,99732,51372,529942,877
-1-13-29-41-61-377-533-793-1,189-1,769-2,501-15,457-22,997-32,513-72,529-942,877

More Examples

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