Q: What are the factor combinations of the number 42,584,425?

 A:
Positive:   1 x 425844255 x 851688513 x 327572525 x 170337765 x 655145283 x 150475325 x 131029463 x 919751415 x 300952315 x 183953679 x 115756019 x 7075
Negative: -1 x -42584425-5 x -8516885-13 x -3275725-25 x -1703377-65 x -655145-283 x -150475-325 x -131029-463 x -91975-1415 x -30095-2315 x -18395-3679 x -11575-6019 x -7075


How do I find the factor combinations of the number 42,584,425?

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 42,584,425, 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 42,584,425
-1 -42,584,425

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 42,584,425.

Example:
1 x 42,584,425 = 42,584,425
and
-1 x -42,584,425 = 42,584,425
Notice both answers equal 42,584,425

With that explanation out of the way, let's continue. Next, we take the number 42,584,425 and divide it by 2:

42,584,425 ÷ 2 = 21,292,212.5

If the quotient is a whole number, then 2 and 21,292,212.5 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 42,584,425
-1 -42,584,425

Now, we try dividing 42,584,425 by 3:

42,584,425 ÷ 3 = 14,194,808.3333

If the quotient is a whole number, then 3 and 14,194,808.3333 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 42,584,425
-1 -42,584,425

Let's try dividing by 4:

42,584,425 ÷ 4 = 10,646,106.25

If the quotient is a whole number, then 4 and 10,646,106.25 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 42,584,425
-1 42,584,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151325652833254631,4152,3153,6796,0197,07511,57518,39530,09591,975131,029150,475655,1451,703,3773,275,7258,516,88542,584,425
-1-5-13-25-65-283-325-463-1,415-2,315-3,679-6,019-7,075-11,575-18,395-30,095-91,975-131,029-150,475-655,145-1,703,377-3,275,725-8,516,885-42,584,425

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