Q: What are the factor combinations of the number 6,486,025?

 A:
Positive:   1 x 64860255 x 12972057 x 92657513 x 49892525 x 25944135 x 18531565 x 9978591 x 71275175 x 37063325 x 19957455 x 142552275 x 2851
Negative: -1 x -6486025-5 x -1297205-7 x -926575-13 x -498925-25 x -259441-35 x -185315-65 x -99785-91 x -71275-175 x -37063-325 x -19957-455 x -14255-2275 x -2851


How do I find the factor combinations of the number 6,486,025?

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 6,486,025, 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 6,486,025
-1 -6,486,025

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 6,486,025.

Example:
1 x 6,486,025 = 6,486,025
and
-1 x -6,486,025 = 6,486,025
Notice both answers equal 6,486,025

With that explanation out of the way, let's continue. Next, we take the number 6,486,025 and divide it by 2:

6,486,025 ÷ 2 = 3,243,012.5

If the quotient is a whole number, then 2 and 3,243,012.5 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 6,486,025
-1 -6,486,025

Now, we try dividing 6,486,025 by 3:

6,486,025 ÷ 3 = 2,162,008.3333

If the quotient is a whole number, then 3 and 2,162,008.3333 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 6,486,025
-1 -6,486,025

Let's try dividing by 4:

6,486,025 ÷ 4 = 1,621,506.25

If the quotient is a whole number, then 4 and 1,621,506.25 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 6,486,025
-1 6,486,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,2752,85114,25519,95737,06371,27599,785185,315259,441498,925926,5751,297,2056,486,025
-1-5-7-13-25-35-65-91-175-325-455-2,275-2,851-14,255-19,957-37,063-71,275-99,785-185,315-259,441-498,925-926,575-1,297,205-6,486,025

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