Q: What are the factor combinations of the number 21,546,445?

 A:
Positive:   1 x 215464455 x 430928947 x 458435235 x 91687277 x 77785331 x 650951385 x 155571655 x 13019
Negative: -1 x -21546445-5 x -4309289-47 x -458435-235 x -91687-277 x -77785-331 x -65095-1385 x -15557-1655 x -13019


How do I find the factor combinations of the number 21,546,445?

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 21,546,445, 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 21,546,445
-1 -21,546,445

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 21,546,445.

Example:
1 x 21,546,445 = 21,546,445
and
-1 x -21,546,445 = 21,546,445
Notice both answers equal 21,546,445

With that explanation out of the way, let's continue. Next, we take the number 21,546,445 and divide it by 2:

21,546,445 ÷ 2 = 10,773,222.5

If the quotient is a whole number, then 2 and 10,773,222.5 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 21,546,445
-1 -21,546,445

Now, we try dividing 21,546,445 by 3:

21,546,445 ÷ 3 = 7,182,148.3333

If the quotient is a whole number, then 3 and 7,182,148.3333 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 21,546,445
-1 -21,546,445

Let's try dividing by 4:

21,546,445 ÷ 4 = 5,386,611.25

If the quotient is a whole number, then 4 and 5,386,611.25 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 21,546,445
-1 21,546,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352773311,3851,65513,01915,55765,09577,78591,687458,4354,309,28921,546,445
-1-5-47-235-277-331-1,385-1,655-13,019-15,557-65,095-77,785-91,687-458,435-4,309,289-21,546,445

More Examples

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