Q: What are the factor combinations of the number 1,596,985?

 A:
Positive:   1 x 15969855 x 31939713 x 12284565 x 2456979 x 20215311 x 5135395 x 40431027 x 1555
Negative: -1 x -1596985-5 x -319397-13 x -122845-65 x -24569-79 x -20215-311 x -5135-395 x -4043-1027 x -1555


How do I find the factor combinations of the number 1,596,985?

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 1,596,985, 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 1,596,985
-1 -1,596,985

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 1,596,985.

Example:
1 x 1,596,985 = 1,596,985
and
-1 x -1,596,985 = 1,596,985
Notice both answers equal 1,596,985

With that explanation out of the way, let's continue. Next, we take the number 1,596,985 and divide it by 2:

1,596,985 ÷ 2 = 798,492.5

If the quotient is a whole number, then 2 and 798,492.5 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 1,596,985
-1 -1,596,985

Now, we try dividing 1,596,985 by 3:

1,596,985 ÷ 3 = 532,328.3333

If the quotient is a whole number, then 3 and 532,328.3333 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 1,596,985
-1 -1,596,985

Let's try dividing by 4:

1,596,985 ÷ 4 = 399,246.25

If the quotient is a whole number, then 4 and 399,246.25 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 1,596,985
-1 1,596,985
Keep dividing by the next highest number until you cannot divide anymore.

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

151365793113951,0271,5554,0435,13520,21524,569122,845319,3971,596,985
-1-5-13-65-79-311-395-1,027-1,555-4,043-5,135-20,215-24,569-122,845-319,397-1,596,985

More Examples

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