Q: What are the factor combinations of the number 1,024,075?

 A:
Positive:   1 x 10240755 x 20481513 x 7877523 x 4452525 x 4096365 x 15755115 x 8905137 x 7475299 x 3425325 x 3151575 x 1781685 x 1495
Negative: -1 x -1024075-5 x -204815-13 x -78775-23 x -44525-25 x -40963-65 x -15755-115 x -8905-137 x -7475-299 x -3425-325 x -3151-575 x -1781-685 x -1495


How do I find the factor combinations of the number 1,024,075?

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 1,024,075, 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 1,024,075
-1 -1,024,075

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 1,024,075.

Example:
1 x 1,024,075 = 1,024,075
and
-1 x -1,024,075 = 1,024,075
Notice both answers equal 1,024,075

With that explanation out of the way, let's continue. Next, we take the number 1,024,075 and divide it by 2:

1,024,075 ÷ 2 = 512,037.5

If the quotient is a whole number, then 2 and 512,037.5 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 1,024,075
-1 -1,024,075

Now, we try dividing 1,024,075 by 3:

1,024,075 ÷ 3 = 341,358.3333

If the quotient is a whole number, then 3 and 341,358.3333 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 1,024,075
-1 -1,024,075

Let's try dividing by 4:

1,024,075 ÷ 4 = 256,018.75

If the quotient is a whole number, then 4 and 256,018.75 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 1,024,075
-1 1,024,075
Keep dividing by the next highest number until you cannot divide anymore.

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

15132325651151372993255756851,4951,7813,1513,4257,4758,90515,75540,96344,52578,775204,8151,024,075
-1-5-13-23-25-65-115-137-299-325-575-685-1,495-1,781-3,151-3,425-7,475-8,905-15,755-40,963-44,525-78,775-204,815-1,024,075

More Examples

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