Q: What are the factor combinations of the number 1,068,025?

 A:
Positive:   1 x 10680255 x 2136057 x 15257517 x 6282525 x 4272135 x 3051585 x 12565119 x 8975175 x 6103359 x 2975425 x 2513595 x 1795
Negative: -1 x -1068025-5 x -213605-7 x -152575-17 x -62825-25 x -42721-35 x -30515-85 x -12565-119 x -8975-175 x -6103-359 x -2975-425 x -2513-595 x -1795


How do I find the factor combinations of the number 1,068,025?

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 1,068,025, 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 1,068,025
-1 -1,068,025

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 1,068,025.

Example:
1 x 1,068,025 = 1,068,025
and
-1 x -1,068,025 = 1,068,025
Notice both answers equal 1,068,025

With that explanation out of the way, let's continue. Next, we take the number 1,068,025 and divide it by 2:

1,068,025 ÷ 2 = 534,012.5

If the quotient is a whole number, then 2 and 534,012.5 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 1,068,025
-1 -1,068,025

Now, we try dividing 1,068,025 by 3:

1,068,025 ÷ 3 = 356,008.3333

If the quotient is a whole number, then 3 and 356,008.3333 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 1,068,025
-1 -1,068,025

Let's try dividing by 4:

1,068,025 ÷ 4 = 267,006.25

If the quotient is a whole number, then 4 and 267,006.25 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 1,068,025
-1 1,068,025
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191753594255951,7952,5132,9756,1038,97512,56530,51542,72162,825152,575213,6051,068,025
-1-5-7-17-25-35-85-119-175-359-425-595-1,795-2,513-2,975-6,103-8,975-12,565-30,515-42,721-62,825-152,575-213,605-1,068,025

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,068,025:


Ask a Question