Q: What are the factor combinations of the number 1,013,725?

 A:
Positive:   1 x 10137255 x 20274523 x 4407525 x 4054941 x 2472543 x 23575115 x 8815205 x 4945215 x 4715575 x 1763943 x 1075989 x 1025
Negative: -1 x -1013725-5 x -202745-23 x -44075-25 x -40549-41 x -24725-43 x -23575-115 x -8815-205 x -4945-215 x -4715-575 x -1763-943 x -1075-989 x -1025


How do I find the factor combinations of the number 1,013,725?

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 1,013,725, 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 1,013,725
-1 -1,013,725

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 1,013,725.

Example:
1 x 1,013,725 = 1,013,725
and
-1 x -1,013,725 = 1,013,725
Notice both answers equal 1,013,725

With that explanation out of the way, let's continue. Next, we take the number 1,013,725 and divide it by 2:

1,013,725 ÷ 2 = 506,862.5

If the quotient is a whole number, then 2 and 506,862.5 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 1,013,725
-1 -1,013,725

Now, we try dividing 1,013,725 by 3:

1,013,725 ÷ 3 = 337,908.3333

If the quotient is a whole number, then 3 and 337,908.3333 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 1,013,725
-1 -1,013,725

Let's try dividing by 4:

1,013,725 ÷ 4 = 253,431.25

If the quotient is a whole number, then 4 and 253,431.25 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 1,013,725
-1 1,013,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15232541431152052155759439891,0251,0751,7634,7154,9458,81523,57524,72540,54944,075202,7451,013,725
-1-5-23-25-41-43-115-205-215-575-943-989-1,025-1,075-1,763-4,715-4,945-8,815-23,575-24,725-40,549-44,075-202,745-1,013,725

More Examples

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