Q: What are the factor combinations of the number 20,070,215?

 A:
Positive:   1 x 200702155 x 401404311 x 182456555 x 364913101 x 198715505 x 397431111 x 180653613 x 5555
Negative: -1 x -20070215-5 x -4014043-11 x -1824565-55 x -364913-101 x -198715-505 x -39743-1111 x -18065-3613 x -5555


How do I find the factor combinations of the number 20,070,215?

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 20,070,215, 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 20,070,215
-1 -20,070,215

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 20,070,215.

Example:
1 x 20,070,215 = 20,070,215
and
-1 x -20,070,215 = 20,070,215
Notice both answers equal 20,070,215

With that explanation out of the way, let's continue. Next, we take the number 20,070,215 and divide it by 2:

20,070,215 ÷ 2 = 10,035,107.5

If the quotient is a whole number, then 2 and 10,035,107.5 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 20,070,215
-1 -20,070,215

Now, we try dividing 20,070,215 by 3:

20,070,215 ÷ 3 = 6,690,071.6667

If the quotient is a whole number, then 3 and 6,690,071.6667 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 20,070,215
-1 -20,070,215

Let's try dividing by 4:

20,070,215 ÷ 4 = 5,017,553.75

If the quotient is a whole number, then 4 and 5,017,553.75 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 20,070,215
-1 20,070,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551015051,1113,6135,55518,06539,743198,715364,9131,824,5654,014,04320,070,215
-1-5-11-55-101-505-1,111-3,613-5,555-18,065-39,743-198,715-364,913-1,824,565-4,014,043-20,070,215

More Examples

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