Q: What are the factor combinations of the number 3,005,555?

 A:
Positive:   1 x 30055555 x 6011117 x 42936535 x 8587379 x 38045395 x 7609553 x 54351087 x 2765
Negative: -1 x -3005555-5 x -601111-7 x -429365-35 x -85873-79 x -38045-395 x -7609-553 x -5435-1087 x -2765


How do I find the factor combinations of the number 3,005,555?

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 3,005,555, 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 3,005,555
-1 -3,005,555

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 3,005,555.

Example:
1 x 3,005,555 = 3,005,555
and
-1 x -3,005,555 = 3,005,555
Notice both answers equal 3,005,555

With that explanation out of the way, let's continue. Next, we take the number 3,005,555 and divide it by 2:

3,005,555 ÷ 2 = 1,502,777.5

If the quotient is a whole number, then 2 and 1,502,777.5 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 3,005,555
-1 -3,005,555

Now, we try dividing 3,005,555 by 3:

3,005,555 ÷ 3 = 1,001,851.6667

If the quotient is a whole number, then 3 and 1,001,851.6667 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 3,005,555
-1 -3,005,555

Let's try dividing by 4:

3,005,555 ÷ 4 = 751,388.75

If the quotient is a whole number, then 4 and 751,388.75 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 3,005,555
-1 3,005,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15735793955531,0872,7655,4357,60938,04585,873429,365601,1113,005,555
-1-5-7-35-79-395-553-1,087-2,765-5,435-7,609-38,045-85,873-429,365-601,111-3,005,555

More Examples

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