Q: What are the factor combinations of the number 7,038,815?

 A:
Positive:   1 x 70388155 x 14077637 x 100554535 x 20110983 x 84805415 x 16961581 x 121152423 x 2905
Negative: -1 x -7038815-5 x -1407763-7 x -1005545-35 x -201109-83 x -84805-415 x -16961-581 x -12115-2423 x -2905


How do I find the factor combinations of the number 7,038,815?

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 7,038,815, 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 7,038,815
-1 -7,038,815

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 7,038,815.

Example:
1 x 7,038,815 = 7,038,815
and
-1 x -7,038,815 = 7,038,815
Notice both answers equal 7,038,815

With that explanation out of the way, let's continue. Next, we take the number 7,038,815 and divide it by 2:

7,038,815 ÷ 2 = 3,519,407.5

If the quotient is a whole number, then 2 and 3,519,407.5 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 7,038,815
-1 -7,038,815

Now, we try dividing 7,038,815 by 3:

7,038,815 ÷ 3 = 2,346,271.6667

If the quotient is a whole number, then 3 and 2,346,271.6667 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 7,038,815
-1 -7,038,815

Let's try dividing by 4:

7,038,815 ÷ 4 = 1,759,703.75

If the quotient is a whole number, then 4 and 1,759,703.75 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 7,038,815
-1 7,038,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15735834155812,4232,90512,11516,96184,805201,1091,005,5451,407,7637,038,815
-1-5-7-35-83-415-581-2,423-2,905-12,115-16,961-84,805-201,109-1,005,545-1,407,763-7,038,815

More Examples

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