Q: What are the factor combinations of the number 9,361,037?

 A:
Positive:   1 x 93610377 x 133729137 x 25300147 x 199171259 x 36143329 x 28453769 x 121731739 x 5383
Negative: -1 x -9361037-7 x -1337291-37 x -253001-47 x -199171-259 x -36143-329 x -28453-769 x -12173-1739 x -5383


How do I find the factor combinations of the number 9,361,037?

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 9,361,037, 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 9,361,037
-1 -9,361,037

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 9,361,037.

Example:
1 x 9,361,037 = 9,361,037
and
-1 x -9,361,037 = 9,361,037
Notice both answers equal 9,361,037

With that explanation out of the way, let's continue. Next, we take the number 9,361,037 and divide it by 2:

9,361,037 ÷ 2 = 4,680,518.5

If the quotient is a whole number, then 2 and 4,680,518.5 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 9,361,037
-1 -9,361,037

Now, we try dividing 9,361,037 by 3:

9,361,037 ÷ 3 = 3,120,345.6667

If the quotient is a whole number, then 3 and 3,120,345.6667 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 9,361,037
-1 -9,361,037

Let's try dividing by 4:

9,361,037 ÷ 4 = 2,340,259.25

If the quotient is a whole number, then 4 and 2,340,259.25 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 9,361,037
-1 9,361,037
Keep dividing by the next highest number until you cannot divide anymore.

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

1737472593297691,7395,38312,17328,45336,143199,171253,0011,337,2919,361,037
-1-7-37-47-259-329-769-1,739-5,383-12,173-28,453-36,143-199,171-253,001-1,337,291-9,361,037

More Examples

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