Q: What are the factor combinations of the number 1,357,025?

 A:
Positive:   1 x 13570255 x 27140517 x 7982525 x 5428131 x 4377585 x 15965103 x 13175155 x 8755425 x 3193515 x 2635527 x 2575775 x 1751
Negative: -1 x -1357025-5 x -271405-17 x -79825-25 x -54281-31 x -43775-85 x -15965-103 x -13175-155 x -8755-425 x -3193-515 x -2635-527 x -2575-775 x -1751


How do I find the factor combinations of the number 1,357,025?

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 1,357,025, 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 1,357,025
-1 -1,357,025

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 1,357,025.

Example:
1 x 1,357,025 = 1,357,025
and
-1 x -1,357,025 = 1,357,025
Notice both answers equal 1,357,025

With that explanation out of the way, let's continue. Next, we take the number 1,357,025 and divide it by 2:

1,357,025 ÷ 2 = 678,512.5

If the quotient is a whole number, then 2 and 678,512.5 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 1,357,025
-1 -1,357,025

Now, we try dividing 1,357,025 by 3:

1,357,025 ÷ 3 = 452,341.6667

If the quotient is a whole number, then 3 and 452,341.6667 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 1,357,025
-1 -1,357,025

Let's try dividing by 4:

1,357,025 ÷ 4 = 339,256.25

If the quotient is a whole number, then 4 and 339,256.25 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 1,357,025
-1 1,357,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15172531851031554255155277751,7512,5752,6353,1938,75513,17515,96543,77554,28179,825271,4051,357,025
-1-5-17-25-31-85-103-155-425-515-527-775-1,751-2,575-2,635-3,193-8,755-13,175-15,965-43,775-54,281-79,825-271,405-1,357,025

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