Q: What are the factor combinations of the number 985,159?

 A:
Positive:   1 x 9851597 x 14073723 x 4283329 x 33971161 x 6119203 x 4853211 x 4669667 x 1477
Negative: -1 x -985159-7 x -140737-23 x -42833-29 x -33971-161 x -6119-203 x -4853-211 x -4669-667 x -1477


How do I find the factor combinations of the number 985,159?

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 985,159, 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.

1 985,159
-1 -985,159

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 985,159.

Example:
1 x 985,159 = 985,159
and
-1 x -985,159 = 985,159
Notice both answers equal 985,159

With that explanation out of the way, let's continue. Next, we take the number 985,159 and divide it by 2:

985,159 ÷ 2 = 492,579.5

If the quotient is a whole number, then 2 and 492,579.5 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:

1 985,159
-1 -985,159

Now, we try dividing 985,159 by 3:

985,159 ÷ 3 = 328,386.3333

If the quotient is a whole number, then 3 and 328,386.3333 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:

1 985,159
-1 -985,159

Let's try dividing by 4:

985,159 ÷ 4 = 246,289.75

If the quotient is a whole number, then 4 and 246,289.75 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:

1 985,159
-1 985,159
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291612032116671,4774,6694,8536,11933,97142,833140,737985,159
-1-7-23-29-161-203-211-667-1,477-4,669-4,853-6,119-33,971-42,833-140,737-985,159

More Examples

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