Q: What are the factor combinations of the number 2,426,725?

 A:
Positive:   1 x 24267255 x 4853457 x 34667525 x 9706935 x 6933549 x 49525175 x 13867245 x 9905283 x 8575343 x 70751225 x 19811415 x 1715
Negative: -1 x -2426725-5 x -485345-7 x -346675-25 x -97069-35 x -69335-49 x -49525-175 x -13867-245 x -9905-283 x -8575-343 x -7075-1225 x -1981-1415 x -1715


How do I find the factor combinations of the number 2,426,725?

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 2,426,725, 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 2,426,725
-1 -2,426,725

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 2,426,725.

Example:
1 x 2,426,725 = 2,426,725
and
-1 x -2,426,725 = 2,426,725
Notice both answers equal 2,426,725

With that explanation out of the way, let's continue. Next, we take the number 2,426,725 and divide it by 2:

2,426,725 ÷ 2 = 1,213,362.5

If the quotient is a whole number, then 2 and 1,213,362.5 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 2,426,725
-1 -2,426,725

Now, we try dividing 2,426,725 by 3:

2,426,725 ÷ 3 = 808,908.3333

If the quotient is a whole number, then 3 and 808,908.3333 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 2,426,725
-1 -2,426,725

Let's try dividing by 4:

2,426,725 ÷ 4 = 606,681.25

If the quotient is a whole number, then 4 and 606,681.25 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 2,426,725
-1 2,426,725
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752452833431,2251,4151,7151,9817,0758,5759,90513,86749,52569,33597,069346,675485,3452,426,725
-1-5-7-25-35-49-175-245-283-343-1,225-1,415-1,715-1,981-7,075-8,575-9,905-13,867-49,525-69,335-97,069-346,675-485,345-2,426,725

More Examples

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