Q: What are the factor combinations of the number 10,041,325?

 A:
Positive:   1 x 100413255 x 20082657 x 143447525 x 40165335 x 28689549 x 204925175 x 57379245 x 40985343 x 292751171 x 85751225 x 81971715 x 5855
Negative: -1 x -10041325-5 x -2008265-7 x -1434475-25 x -401653-35 x -286895-49 x -204925-175 x -57379-245 x -40985-343 x -29275-1171 x -8575-1225 x -8197-1715 x -5855


How do I find the factor combinations of the number 10,041,325?

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 10,041,325, 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 10,041,325
-1 -10,041,325

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 10,041,325.

Example:
1 x 10,041,325 = 10,041,325
and
-1 x -10,041,325 = 10,041,325
Notice both answers equal 10,041,325

With that explanation out of the way, let's continue. Next, we take the number 10,041,325 and divide it by 2:

10,041,325 ÷ 2 = 5,020,662.5

If the quotient is a whole number, then 2 and 5,020,662.5 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 10,041,325
-1 -10,041,325

Now, we try dividing 10,041,325 by 3:

10,041,325 ÷ 3 = 3,347,108.3333

If the quotient is a whole number, then 3 and 3,347,108.3333 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 10,041,325
-1 -10,041,325

Let's try dividing by 4:

10,041,325 ÷ 4 = 2,510,331.25

If the quotient is a whole number, then 4 and 2,510,331.25 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 10,041,325
-1 10,041,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752453431,1711,2251,7155,8558,1978,57529,27540,98557,379204,925286,895401,6531,434,4752,008,26510,041,325
-1-5-7-25-35-49-175-245-343-1,171-1,225-1,715-5,855-8,197-8,575-29,275-40,985-57,379-204,925-286,895-401,653-1,434,475-2,008,265-10,041,325

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