Q: What are the factor combinations of the number 36,721,045?

 A:
Positive:   1 x 367210455 x 7344209103 x 356515113 x 324965515 x 71303565 x 64993631 x 581953155 x 11639
Negative: -1 x -36721045-5 x -7344209-103 x -356515-113 x -324965-515 x -71303-565 x -64993-631 x -58195-3155 x -11639


How do I find the factor combinations of the number 36,721,045?

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 36,721,045, 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 36,721,045
-1 -36,721,045

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 36,721,045.

Example:
1 x 36,721,045 = 36,721,045
and
-1 x -36,721,045 = 36,721,045
Notice both answers equal 36,721,045

With that explanation out of the way, let's continue. Next, we take the number 36,721,045 and divide it by 2:

36,721,045 ÷ 2 = 18,360,522.5

If the quotient is a whole number, then 2 and 18,360,522.5 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 36,721,045
-1 -36,721,045

Now, we try dividing 36,721,045 by 3:

36,721,045 ÷ 3 = 12,240,348.3333

If the quotient is a whole number, then 3 and 12,240,348.3333 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 36,721,045
-1 -36,721,045

Let's try dividing by 4:

36,721,045 ÷ 4 = 9,180,261.25

If the quotient is a whole number, then 4 and 9,180,261.25 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 36,721,045
-1 36,721,045
Keep dividing by the next highest number until you cannot divide anymore.

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

151031135155656313,15511,63958,19564,99371,303324,965356,5157,344,20936,721,045
-1-5-103-113-515-565-631-3,155-11,639-58,195-64,993-71,303-324,965-356,515-7,344,209-36,721,045

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 36,721,045:


Ask a Question