Q: What are the factor combinations of the number 20,070,659?

 A:
Positive:   1 x 200706597 x 286723717 x 1180627119 x 168661227 x 88417743 x 270131589 x 126313859 x 5201
Negative: -1 x -20070659-7 x -2867237-17 x -1180627-119 x -168661-227 x -88417-743 x -27013-1589 x -12631-3859 x -5201


How do I find the factor combinations of the number 20,070,659?

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 20,070,659, 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 20,070,659
-1 -20,070,659

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 20,070,659.

Example:
1 x 20,070,659 = 20,070,659
and
-1 x -20,070,659 = 20,070,659
Notice both answers equal 20,070,659

With that explanation out of the way, let's continue. Next, we take the number 20,070,659 and divide it by 2:

20,070,659 ÷ 2 = 10,035,329.5

If the quotient is a whole number, then 2 and 10,035,329.5 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 20,070,659
-1 -20,070,659

Now, we try dividing 20,070,659 by 3:

20,070,659 ÷ 3 = 6,690,219.6667

If the quotient is a whole number, then 3 and 6,690,219.6667 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 20,070,659
-1 -20,070,659

Let's try dividing by 4:

20,070,659 ÷ 4 = 5,017,664.75

If the quotient is a whole number, then 4 and 5,017,664.75 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 20,070,659
-1 20,070,659
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192277431,5893,8595,20112,63127,01388,417168,6611,180,6272,867,23720,070,659
-1-7-17-119-227-743-1,589-3,859-5,201-12,631-27,013-88,417-168,661-1,180,627-2,867,237-20,070,659

More Examples

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