Q: What are the factor combinations of the number 38,472,665?

 A:
Positive:   1 x 384726655 x 76945337 x 549609511 x 349751535 x 109921955 x 69950377 x 499645385 x 99929
Negative: -1 x -38472665-5 x -7694533-7 x -5496095-11 x -3497515-35 x -1099219-55 x -699503-77 x -499645-385 x -99929


How do I find the factor combinations of the number 38,472,665?

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 38,472,665, 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 38,472,665
-1 -38,472,665

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 38,472,665.

Example:
1 x 38,472,665 = 38,472,665
and
-1 x -38,472,665 = 38,472,665
Notice both answers equal 38,472,665

With that explanation out of the way, let's continue. Next, we take the number 38,472,665 and divide it by 2:

38,472,665 ÷ 2 = 19,236,332.5

If the quotient is a whole number, then 2 and 19,236,332.5 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 38,472,665
-1 -38,472,665

Now, we try dividing 38,472,665 by 3:

38,472,665 ÷ 3 = 12,824,221.6667

If the quotient is a whole number, then 3 and 12,824,221.6667 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 38,472,665
-1 -38,472,665

Let's try dividing by 4:

38,472,665 ÷ 4 = 9,618,166.25

If the quotient is a whole number, then 4 and 9,618,166.25 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 38,472,665
-1 38,472,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738599,929499,645699,5031,099,2193,497,5155,496,0957,694,53338,472,665
-1-5-7-11-35-55-77-385-99,929-499,645-699,503-1,099,219-3,497,515-5,496,095-7,694,533-38,472,665

More Examples

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