Q: What are the factor combinations of the number 1,007,545?

 A:
Positive:   1 x 10075455 x 2015097 x 14393511 x 9159535 x 2878755 x 1831977 x 13085385 x 2617
Negative: -1 x -1007545-5 x -201509-7 x -143935-11 x -91595-35 x -28787-55 x -18319-77 x -13085-385 x -2617


How do I find the factor combinations of the number 1,007,545?

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 1,007,545, 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 1,007,545
-1 -1,007,545

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 1,007,545.

Example:
1 x 1,007,545 = 1,007,545
and
-1 x -1,007,545 = 1,007,545
Notice both answers equal 1,007,545

With that explanation out of the way, let's continue. Next, we take the number 1,007,545 and divide it by 2:

1,007,545 ÷ 2 = 503,772.5

If the quotient is a whole number, then 2 and 503,772.5 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 1,007,545
-1 -1,007,545

Now, we try dividing 1,007,545 by 3:

1,007,545 ÷ 3 = 335,848.3333

If the quotient is a whole number, then 3 and 335,848.3333 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 1,007,545
-1 -1,007,545

Let's try dividing by 4:

1,007,545 ÷ 4 = 251,886.25

If the quotient is a whole number, then 4 and 251,886.25 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 1,007,545
-1 1,007,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773852,61713,08518,31928,78791,595143,935201,5091,007,545
-1-5-7-11-35-55-77-385-2,617-13,085-18,319-28,787-91,595-143,935-201,509-1,007,545

More Examples

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