Q: What are the factor combinations of the number 13,162,135?

 A:
Positive:   1 x 131621355 x 26324277 x 188030531 x 42458535 x 37606149 x 268615155 x 84917217 x 60655245 x 537231085 x 121311519 x 86651733 x 7595
Negative: -1 x -13162135-5 x -2632427-7 x -1880305-31 x -424585-35 x -376061-49 x -268615-155 x -84917-217 x -60655-245 x -53723-1085 x -12131-1519 x -8665-1733 x -7595


How do I find the factor combinations of the number 13,162,135?

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 13,162,135, 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 13,162,135
-1 -13,162,135

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 13,162,135.

Example:
1 x 13,162,135 = 13,162,135
and
-1 x -13,162,135 = 13,162,135
Notice both answers equal 13,162,135

With that explanation out of the way, let's continue. Next, we take the number 13,162,135 and divide it by 2:

13,162,135 ÷ 2 = 6,581,067.5

If the quotient is a whole number, then 2 and 6,581,067.5 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 13,162,135
-1 -13,162,135

Now, we try dividing 13,162,135 by 3:

13,162,135 ÷ 3 = 4,387,378.3333

If the quotient is a whole number, then 3 and 4,387,378.3333 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 13,162,135
-1 -13,162,135

Let's try dividing by 4:

13,162,135 ÷ 4 = 3,290,533.75

If the quotient is a whole number, then 4 and 3,290,533.75 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 13,162,135
-1 13,162,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1573135491552172451,0851,5191,7337,5958,66512,13153,72360,65584,917268,615376,061424,5851,880,3052,632,42713,162,135
-1-5-7-31-35-49-155-217-245-1,085-1,519-1,733-7,595-8,665-12,131-53,723-60,655-84,917-268,615-376,061-424,585-1,880,305-2,632,427-13,162,135

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