Q: What are the factor combinations of the number 20,770,145?

 A:
Positive:   1 x 207701455 x 415402911 x 188819555 x 377639101 x 205645505 x 411291111 x 186953739 x 5555
Negative: -1 x -20770145-5 x -4154029-11 x -1888195-55 x -377639-101 x -205645-505 x -41129-1111 x -18695-3739 x -5555


How do I find the factor combinations of the number 20,770,145?

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 20,770,145, 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 20,770,145
-1 -20,770,145

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 20,770,145.

Example:
1 x 20,770,145 = 20,770,145
and
-1 x -20,770,145 = 20,770,145
Notice both answers equal 20,770,145

With that explanation out of the way, let's continue. Next, we take the number 20,770,145 and divide it by 2:

20,770,145 ÷ 2 = 10,385,072.5

If the quotient is a whole number, then 2 and 10,385,072.5 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 20,770,145
-1 -20,770,145

Now, we try dividing 20,770,145 by 3:

20,770,145 ÷ 3 = 6,923,381.6667

If the quotient is a whole number, then 3 and 6,923,381.6667 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 20,770,145
-1 -20,770,145

Let's try dividing by 4:

20,770,145 ÷ 4 = 5,192,536.25

If the quotient is a whole number, then 4 and 5,192,536.25 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 20,770,145
-1 20,770,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551015051,1113,7395,55518,69541,129205,645377,6391,888,1954,154,02920,770,145
-1-5-11-55-101-505-1,111-3,739-5,555-18,695-41,129-205,645-377,639-1,888,195-4,154,029-20,770,145

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