Q: What are the factor combinations of the number 37,598,813?

 A:
Positive:   1 x 375988137 x 537125923 x 163473143 x 874391161 x 233533301 x 124913989 x 380175431 x 6923
Negative: -1 x -37598813-7 x -5371259-23 x -1634731-43 x -874391-161 x -233533-301 x -124913-989 x -38017-5431 x -6923


How do I find the factor combinations of the number 37,598,813?

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 37,598,813, 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 37,598,813
-1 -37,598,813

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 37,598,813.

Example:
1 x 37,598,813 = 37,598,813
and
-1 x -37,598,813 = 37,598,813
Notice both answers equal 37,598,813

With that explanation out of the way, let's continue. Next, we take the number 37,598,813 and divide it by 2:

37,598,813 ÷ 2 = 18,799,406.5

If the quotient is a whole number, then 2 and 18,799,406.5 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 37,598,813
-1 -37,598,813

Now, we try dividing 37,598,813 by 3:

37,598,813 ÷ 3 = 12,532,937.6667

If the quotient is a whole number, then 3 and 12,532,937.6667 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 37,598,813
-1 -37,598,813

Let's try dividing by 4:

37,598,813 ÷ 4 = 9,399,703.25

If the quotient is a whole number, then 4 and 9,399,703.25 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 37,598,813
-1 37,598,813
Keep dividing by the next highest number until you cannot divide anymore.

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

1723431613019895,4316,92338,017124,913233,533874,3911,634,7315,371,25937,598,813
-1-7-23-43-161-301-989-5,431-6,923-38,017-124,913-233,533-874,391-1,634,731-5,371,259-37,598,813

More Examples

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