Q: What are the factor combinations of the number 27,474,005?

 A:
Positive:   1 x 274740055 x 549480113 x 211338565 x 422677167 x 164515835 x 329032171 x 126552531 x 10855
Negative: -1 x -27474005-5 x -5494801-13 x -2113385-65 x -422677-167 x -164515-835 x -32903-2171 x -12655-2531 x -10855


How do I find the factor combinations of the number 27,474,005?

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 27,474,005, 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 27,474,005
-1 -27,474,005

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 27,474,005.

Example:
1 x 27,474,005 = 27,474,005
and
-1 x -27,474,005 = 27,474,005
Notice both answers equal 27,474,005

With that explanation out of the way, let's continue. Next, we take the number 27,474,005 and divide it by 2:

27,474,005 ÷ 2 = 13,737,002.5

If the quotient is a whole number, then 2 and 13,737,002.5 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 27,474,005
-1 -27,474,005

Now, we try dividing 27,474,005 by 3:

27,474,005 ÷ 3 = 9,158,001.6667

If the quotient is a whole number, then 3 and 9,158,001.6667 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 27,474,005
-1 -27,474,005

Let's try dividing by 4:

27,474,005 ÷ 4 = 6,868,501.25

If the quotient is a whole number, then 4 and 6,868,501.25 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 27,474,005
-1 27,474,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651678352,1712,53110,85512,65532,903164,515422,6772,113,3855,494,80127,474,005
-1-5-13-65-167-835-2,171-2,531-10,855-12,655-32,903-164,515-422,677-2,113,385-5,494,801-27,474,005

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 27,474,005:


Ask a Question