Q: What are the factor combinations of the number 20,035,267?

 A:
Positive:   1 x 200352677 x 286218149 x 40888361 x 328447427 x 469212989 x 6703
Negative: -1 x -20035267-7 x -2862181-49 x -408883-61 x -328447-427 x -46921-2989 x -6703


How do I find the factor combinations of the number 20,035,267?

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 20,035,267, 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 20,035,267
-1 -20,035,267

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 20,035,267.

Example:
1 x 20,035,267 = 20,035,267
and
-1 x -20,035,267 = 20,035,267
Notice both answers equal 20,035,267

With that explanation out of the way, let's continue. Next, we take the number 20,035,267 and divide it by 2:

20,035,267 ÷ 2 = 10,017,633.5

If the quotient is a whole number, then 2 and 10,017,633.5 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 20,035,267
-1 -20,035,267

Now, we try dividing 20,035,267 by 3:

20,035,267 ÷ 3 = 6,678,422.3333

If the quotient is a whole number, then 3 and 6,678,422.3333 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 20,035,267
-1 -20,035,267

Let's try dividing by 4:

20,035,267 ÷ 4 = 5,008,816.75

If the quotient is a whole number, then 4 and 5,008,816.75 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 20,035,267
-1 20,035,267
Keep dividing by the next highest number until you cannot divide anymore.

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

1749614272,9896,70346,921328,447408,8832,862,18120,035,267
-1-7-49-61-427-2,989-6,703-46,921-328,447-408,883-2,862,181-20,035,267

More Examples

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