Q: What are the factor combinations of the number 1,336,625?

 A:
Positive:   1 x 13366255 x 26732517 x 7862525 x 5346537 x 3612585 x 15725125 x 10693185 x 7225289 x 4625425 x 3145629 x 2125925 x 1445
Negative: -1 x -1336625-5 x -267325-17 x -78625-25 x -53465-37 x -36125-85 x -15725-125 x -10693-185 x -7225-289 x -4625-425 x -3145-629 x -2125-925 x -1445


How do I find the factor combinations of the number 1,336,625?

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 1,336,625, 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 1,336,625
-1 -1,336,625

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 1,336,625.

Example:
1 x 1,336,625 = 1,336,625
and
-1 x -1,336,625 = 1,336,625
Notice both answers equal 1,336,625

With that explanation out of the way, let's continue. Next, we take the number 1,336,625 and divide it by 2:

1,336,625 ÷ 2 = 668,312.5

If the quotient is a whole number, then 2 and 668,312.5 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 1,336,625
-1 -1,336,625

Now, we try dividing 1,336,625 by 3:

1,336,625 ÷ 3 = 445,541.6667

If the quotient is a whole number, then 3 and 445,541.6667 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 1,336,625
-1 -1,336,625

Let's try dividing by 4:

1,336,625 ÷ 4 = 334,156.25

If the quotient is a whole number, then 4 and 334,156.25 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 1,336,625
-1 1,336,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15172537851251852894256299251,4452,1253,1454,6257,22510,69315,72536,12553,46578,625267,3251,336,625
-1-5-17-25-37-85-125-185-289-425-629-925-1,445-2,125-3,145-4,625-7,225-10,693-15,725-36,125-53,465-78,625-267,325-1,336,625

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