Q: What are the factor combinations of the number 37,868,675?

 A:
Positive:   1 x 378686755 x 757373513 x 291297525 x 151474765 x 582595169 x 224075325 x 116519845 x 448154225 x 8963
Negative: -1 x -37868675-5 x -7573735-13 x -2912975-25 x -1514747-65 x -582595-169 x -224075-325 x -116519-845 x -44815-4225 x -8963


How do I find the factor combinations of the number 37,868,675?

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 37,868,675, 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 37,868,675
-1 -37,868,675

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 37,868,675.

Example:
1 x 37,868,675 = 37,868,675
and
-1 x -37,868,675 = 37,868,675
Notice both answers equal 37,868,675

With that explanation out of the way, let's continue. Next, we take the number 37,868,675 and divide it by 2:

37,868,675 ÷ 2 = 18,934,337.5

If the quotient is a whole number, then 2 and 18,934,337.5 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 37,868,675
-1 -37,868,675

Now, we try dividing 37,868,675 by 3:

37,868,675 ÷ 3 = 12,622,891.6667

If the quotient is a whole number, then 3 and 12,622,891.6667 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 37,868,675
-1 -37,868,675

Let's try dividing by 4:

37,868,675 ÷ 4 = 9,467,168.75

If the quotient is a whole number, then 4 and 9,467,168.75 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 37,868,675
-1 37,868,675
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651693258454,2258,96344,815116,519224,075582,5951,514,7472,912,9757,573,73537,868,675
-1-5-13-25-65-169-325-845-4,225-8,963-44,815-116,519-224,075-582,595-1,514,747-2,912,975-7,573,735-37,868,675

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,868,675:


Ask a Question