Q: What are the factor combinations of the number 10,707,739?

 A:
Positive:   1 x 107077397 x 152967717 x 62986767 x 15981779 x 135541119 x 89981289 x 37051469 x 22831553 x 193631139 x 94011343 x 79732023 x 5293
Negative: -1 x -10707739-7 x -1529677-17 x -629867-67 x -159817-79 x -135541-119 x -89981-289 x -37051-469 x -22831-553 x -19363-1139 x -9401-1343 x -7973-2023 x -5293


How do I find the factor combinations of the number 10,707,739?

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 10,707,739, 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 10,707,739
-1 -10,707,739

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 10,707,739.

Example:
1 x 10,707,739 = 10,707,739
and
-1 x -10,707,739 = 10,707,739
Notice both answers equal 10,707,739

With that explanation out of the way, let's continue. Next, we take the number 10,707,739 and divide it by 2:

10,707,739 ÷ 2 = 5,353,869.5

If the quotient is a whole number, then 2 and 5,353,869.5 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 10,707,739
-1 -10,707,739

Now, we try dividing 10,707,739 by 3:

10,707,739 ÷ 3 = 3,569,246.3333

If the quotient is a whole number, then 3 and 3,569,246.3333 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 10,707,739
-1 -10,707,739

Let's try dividing by 4:

10,707,739 ÷ 4 = 2,676,934.75

If the quotient is a whole number, then 4 and 2,676,934.75 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 10,707,739
-1 10,707,739
Keep dividing by the next highest number until you cannot divide anymore.

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

171767791192894695531,1391,3432,0235,2937,9739,40119,36322,83137,05189,981135,541159,817629,8671,529,67710,707,739
-1-7-17-67-79-119-289-469-553-1,139-1,343-2,023-5,293-7,973-9,401-19,363-22,831-37,051-89,981-135,541-159,817-629,867-1,529,677-10,707,739

More Examples

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