Q: What are the factor combinations of the number 27,501,929?

 A:
Positive:   1 x 275019297 x 392884713 x 211553331 x 88715991 x 302219217 x 126737403 x 682432821 x 9749
Negative: -1 x -27501929-7 x -3928847-13 x -2115533-31 x -887159-91 x -302219-217 x -126737-403 x -68243-2821 x -9749


How do I find the factor combinations of the number 27,501,929?

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 27,501,929, 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 27,501,929
-1 -27,501,929

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 27,501,929.

Example:
1 x 27,501,929 = 27,501,929
and
-1 x -27,501,929 = 27,501,929
Notice both answers equal 27,501,929

With that explanation out of the way, let's continue. Next, we take the number 27,501,929 and divide it by 2:

27,501,929 ÷ 2 = 13,750,964.5

If the quotient is a whole number, then 2 and 13,750,964.5 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 27,501,929
-1 -27,501,929

Now, we try dividing 27,501,929 by 3:

27,501,929 ÷ 3 = 9,167,309.6667

If the quotient is a whole number, then 3 and 9,167,309.6667 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 27,501,929
-1 -27,501,929

Let's try dividing by 4:

27,501,929 ÷ 4 = 6,875,482.25

If the quotient is a whole number, then 4 and 6,875,482.25 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 27,501,929
-1 27,501,929
Keep dividing by the next highest number until you cannot divide anymore.

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

171331912174032,8219,74968,243126,737302,219887,1592,115,5333,928,84727,501,929
-1-7-13-31-91-217-403-2,821-9,749-68,243-126,737-302,219-887,159-2,115,533-3,928,847-27,501,929

More Examples

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