Q: What are the factor combinations of the number 5,506,435?

 A:
Positive:   1 x 55064355 x 110128711 x 50058553 x 10389555 x 100117265 x 20779583 x 94451889 x 2915
Negative: -1 x -5506435-5 x -1101287-11 x -500585-53 x -103895-55 x -100117-265 x -20779-583 x -9445-1889 x -2915


How do I find the factor combinations of the number 5,506,435?

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 5,506,435, 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 5,506,435
-1 -5,506,435

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 5,506,435.

Example:
1 x 5,506,435 = 5,506,435
and
-1 x -5,506,435 = 5,506,435
Notice both answers equal 5,506,435

With that explanation out of the way, let's continue. Next, we take the number 5,506,435 and divide it by 2:

5,506,435 ÷ 2 = 2,753,217.5

If the quotient is a whole number, then 2 and 2,753,217.5 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 5,506,435
-1 -5,506,435

Now, we try dividing 5,506,435 by 3:

5,506,435 ÷ 3 = 1,835,478.3333

If the quotient is a whole number, then 3 and 1,835,478.3333 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 5,506,435
-1 -5,506,435

Let's try dividing by 4:

5,506,435 ÷ 4 = 1,376,608.75

If the quotient is a whole number, then 4 and 1,376,608.75 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 5,506,435
-1 5,506,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151153552655831,8892,9159,44520,779100,117103,895500,5851,101,2875,506,435
-1-5-11-53-55-265-583-1,889-2,915-9,445-20,779-100,117-103,895-500,585-1,101,287-5,506,435

More Examples

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