Q: What are the factor combinations of the number 37,067,405?

 A:
Positive:   1 x 370674055 x 741348153 x 699385137 x 270565265 x 139877685 x 541131021 x 363055105 x 7261
Negative: -1 x -37067405-5 x -7413481-53 x -699385-137 x -270565-265 x -139877-685 x -54113-1021 x -36305-5105 x -7261


How do I find the factor combinations of the number 37,067,405?

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 37,067,405, 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 37,067,405
-1 -37,067,405

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 37,067,405.

Example:
1 x 37,067,405 = 37,067,405
and
-1 x -37,067,405 = 37,067,405
Notice both answers equal 37,067,405

With that explanation out of the way, let's continue. Next, we take the number 37,067,405 and divide it by 2:

37,067,405 ÷ 2 = 18,533,702.5

If the quotient is a whole number, then 2 and 18,533,702.5 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 37,067,405
-1 -37,067,405

Now, we try dividing 37,067,405 by 3:

37,067,405 ÷ 3 = 12,355,801.6667

If the quotient is a whole number, then 3 and 12,355,801.6667 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 37,067,405
-1 -37,067,405

Let's try dividing by 4:

37,067,405 ÷ 4 = 9,266,851.25

If the quotient is a whole number, then 4 and 9,266,851.25 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 37,067,405
-1 37,067,405
Keep dividing by the next highest number until you cannot divide anymore.

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

15531372656851,0215,1057,26136,30554,113139,877270,565699,3857,413,48137,067,405
-1-5-53-137-265-685-1,021-5,105-7,261-36,305-54,113-139,877-270,565-699,385-7,413,481-37,067,405

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,067,405:


Ask a Question