Q: What are the factor combinations of the number 1,405,525?

 A:
Positive:   1 x 14055255 x 28110511 x 12777519 x 7397525 x 5622155 x 2555595 x 14795209 x 6725269 x 5225275 x 5111475 x 29591045 x 1345
Negative: -1 x -1405525-5 x -281105-11 x -127775-19 x -73975-25 x -56221-55 x -25555-95 x -14795-209 x -6725-269 x -5225-275 x -5111-475 x -2959-1045 x -1345


How do I find the factor combinations of the number 1,405,525?

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 1,405,525, 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 1,405,525
-1 -1,405,525

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 1,405,525.

Example:
1 x 1,405,525 = 1,405,525
and
-1 x -1,405,525 = 1,405,525
Notice both answers equal 1,405,525

With that explanation out of the way, let's continue. Next, we take the number 1,405,525 and divide it by 2:

1,405,525 ÷ 2 = 702,762.5

If the quotient is a whole number, then 2 and 702,762.5 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 1,405,525
-1 -1,405,525

Now, we try dividing 1,405,525 by 3:

1,405,525 ÷ 3 = 468,508.3333

If the quotient is a whole number, then 3 and 468,508.3333 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 1,405,525
-1 -1,405,525

Let's try dividing by 4:

1,405,525 ÷ 4 = 351,381.25

If the quotient is a whole number, then 4 and 351,381.25 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 1,405,525
-1 1,405,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092692754751,0451,3452,9595,1115,2256,72514,79525,55556,22173,975127,775281,1051,405,525
-1-5-11-19-25-55-95-209-269-275-475-1,045-1,345-2,959-5,111-5,225-6,725-14,795-25,555-56,221-73,975-127,775-281,105-1,405,525

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