Q: What are the factor combinations of the number 7,466,431?

 A:
Positive:   1 x 74664317 x 106663371 x 10516183 x 89957181 x 41251497 x 15023581 x 128511267 x 5893
Negative: -1 x -7466431-7 x -1066633-71 x -105161-83 x -89957-181 x -41251-497 x -15023-581 x -12851-1267 x -5893


How do I find the factor combinations of the number 7,466,431?

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 7,466,431, 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 7,466,431
-1 -7,466,431

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 7,466,431.

Example:
1 x 7,466,431 = 7,466,431
and
-1 x -7,466,431 = 7,466,431
Notice both answers equal 7,466,431

With that explanation out of the way, let's continue. Next, we take the number 7,466,431 and divide it by 2:

7,466,431 ÷ 2 = 3,733,215.5

If the quotient is a whole number, then 2 and 3,733,215.5 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 7,466,431
-1 -7,466,431

Now, we try dividing 7,466,431 by 3:

7,466,431 ÷ 3 = 2,488,810.3333

If the quotient is a whole number, then 3 and 2,488,810.3333 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 7,466,431
-1 -7,466,431

Let's try dividing by 4:

7,466,431 ÷ 4 = 1,866,607.75

If the quotient is a whole number, then 4 and 1,866,607.75 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 7,466,431
-1 7,466,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1771831814975811,2675,89312,85115,02341,25189,957105,1611,066,6337,466,431
-1-7-71-83-181-497-581-1,267-5,893-12,851-15,023-41,251-89,957-105,161-1,066,633-7,466,431

More Examples

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