Q: What are the factor combinations of the number 1,055,425?

 A:
Positive:   1 x 10554255 x 2110857 x 15077525 x 4221735 x 3015537 x 28525163 x 6475175 x 6031185 x 5705259 x 4075815 x 1295925 x 1141
Negative: -1 x -1055425-5 x -211085-7 x -150775-25 x -42217-35 x -30155-37 x -28525-163 x -6475-175 x -6031-185 x -5705-259 x -4075-815 x -1295-925 x -1141


How do I find the factor combinations of the number 1,055,425?

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 1,055,425, 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 1,055,425
-1 -1,055,425

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 1,055,425.

Example:
1 x 1,055,425 = 1,055,425
and
-1 x -1,055,425 = 1,055,425
Notice both answers equal 1,055,425

With that explanation out of the way, let's continue. Next, we take the number 1,055,425 and divide it by 2:

1,055,425 ÷ 2 = 527,712.5

If the quotient is a whole number, then 2 and 527,712.5 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 1,055,425
-1 -1,055,425

Now, we try dividing 1,055,425 by 3:

1,055,425 ÷ 3 = 351,808.3333

If the quotient is a whole number, then 3 and 351,808.3333 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 1,055,425
-1 -1,055,425

Let's try dividing by 4:

1,055,425 ÷ 4 = 263,856.25

If the quotient is a whole number, then 4 and 263,856.25 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 1,055,425
-1 1,055,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535371631751852598159251,1411,2954,0755,7056,0316,47528,52530,15542,217150,775211,0851,055,425
-1-5-7-25-35-37-163-175-185-259-815-925-1,141-1,295-4,075-5,705-6,031-6,475-28,525-30,155-42,217-150,775-211,085-1,055,425

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