Q: What are the factor combinations of the number 5,504,005?

 A:
Positive:   1 x 55040055 x 110080113 x 42338517 x 32376565 x 8467785 x 64753221 x 24905289 x 19045293 x 187851105 x 49811445 x 38091465 x 3757
Negative: -1 x -5504005-5 x -1100801-13 x -423385-17 x -323765-65 x -84677-85 x -64753-221 x -24905-289 x -19045-293 x -18785-1105 x -4981-1445 x -3809-1465 x -3757


How do I find the factor combinations of the number 5,504,005?

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 5,504,005, 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 5,504,005
-1 -5,504,005

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 5,504,005.

Example:
1 x 5,504,005 = 5,504,005
and
-1 x -5,504,005 = 5,504,005
Notice both answers equal 5,504,005

With that explanation out of the way, let's continue. Next, we take the number 5,504,005 and divide it by 2:

5,504,005 ÷ 2 = 2,752,002.5

If the quotient is a whole number, then 2 and 2,752,002.5 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 5,504,005
-1 -5,504,005

Now, we try dividing 5,504,005 by 3:

5,504,005 ÷ 3 = 1,834,668.3333

If the quotient is a whole number, then 3 and 1,834,668.3333 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 5,504,005
-1 -5,504,005

Let's try dividing by 4:

5,504,005 ÷ 4 = 1,376,001.25

If the quotient is a whole number, then 4 and 1,376,001.25 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 5,504,005
-1 5,504,005
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852212892931,1051,4451,4653,7573,8094,98118,78519,04524,90564,75384,677323,765423,3851,100,8015,504,005
-1-5-13-17-65-85-221-289-293-1,105-1,445-1,465-3,757-3,809-4,981-18,785-19,045-24,905-64,753-84,677-323,765-423,385-1,100,801-5,504,005

More Examples

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