Q: What are the factor combinations of the number 1,024,555?

 A:
Positive:   1 x 10245555 x 2049117 x 14636535 x 2927373 x 14035365 x 2807401 x 2555511 x 2005
Negative: -1 x -1024555-5 x -204911-7 x -146365-35 x -29273-73 x -14035-365 x -2807-401 x -2555-511 x -2005


How do I find the factor combinations of the number 1,024,555?

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 1,024,555, 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 1,024,555
-1 -1,024,555

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 1,024,555.

Example:
1 x 1,024,555 = 1,024,555
and
-1 x -1,024,555 = 1,024,555
Notice both answers equal 1,024,555

With that explanation out of the way, let's continue. Next, we take the number 1,024,555 and divide it by 2:

1,024,555 ÷ 2 = 512,277.5

If the quotient is a whole number, then 2 and 512,277.5 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 1,024,555
-1 -1,024,555

Now, we try dividing 1,024,555 by 3:

1,024,555 ÷ 3 = 341,518.3333

If the quotient is a whole number, then 3 and 341,518.3333 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 1,024,555
-1 -1,024,555

Let's try dividing by 4:

1,024,555 ÷ 4 = 256,138.75

If the quotient is a whole number, then 4 and 256,138.75 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 1,024,555
-1 1,024,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733654015112,0052,5552,80714,03529,273146,365204,9111,024,555
-1-5-7-35-73-365-401-511-2,005-2,555-2,807-14,035-29,273-146,365-204,911-1,024,555

More Examples

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