Q: What are the factor combinations of the number 20,722,675?

 A:
Positive:   1 x 207226755 x 414453525 x 82890729 x 714575101 x 205175145 x 142915283 x 73225505 x 41035725 x 285831415 x 146452525 x 82072929 x 7075
Negative: -1 x -20722675-5 x -4144535-25 x -828907-29 x -714575-101 x -205175-145 x -142915-283 x -73225-505 x -41035-725 x -28583-1415 x -14645-2525 x -8207-2929 x -7075


How do I find the factor combinations of the number 20,722,675?

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 20,722,675, 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 20,722,675
-1 -20,722,675

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 20,722,675.

Example:
1 x 20,722,675 = 20,722,675
and
-1 x -20,722,675 = 20,722,675
Notice both answers equal 20,722,675

With that explanation out of the way, let's continue. Next, we take the number 20,722,675 and divide it by 2:

20,722,675 ÷ 2 = 10,361,337.5

If the quotient is a whole number, then 2 and 10,361,337.5 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 20,722,675
-1 -20,722,675

Now, we try dividing 20,722,675 by 3:

20,722,675 ÷ 3 = 6,907,558.3333

If the quotient is a whole number, then 3 and 6,907,558.3333 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 20,722,675
-1 -20,722,675

Let's try dividing by 4:

20,722,675 ÷ 4 = 5,180,668.75

If the quotient is a whole number, then 4 and 5,180,668.75 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 20,722,675
-1 20,722,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291011452835057251,4152,5252,9297,0758,20714,64528,58341,03573,225142,915205,175714,575828,9074,144,53520,722,675
-1-5-25-29-101-145-283-505-725-1,415-2,525-2,929-7,075-8,207-14,645-28,583-41,035-73,225-142,915-205,175-714,575-828,907-4,144,535-20,722,675

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