Q: What are the factor combinations of the number 4,240,625?

 A:
Positive:   1 x 42406255 x 84812523 x 18437525 x 16962559 x 71875115 x 36875125 x 33925295 x 14375575 x 7375625 x 67851357 x 31251475 x 2875
Negative: -1 x -4240625-5 x -848125-23 x -184375-25 x -169625-59 x -71875-115 x -36875-125 x -33925-295 x -14375-575 x -7375-625 x -6785-1357 x -3125-1475 x -2875


How do I find the factor combinations of the number 4,240,625?

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 4,240,625, 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 4,240,625
-1 -4,240,625

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 4,240,625.

Example:
1 x 4,240,625 = 4,240,625
and
-1 x -4,240,625 = 4,240,625
Notice both answers equal 4,240,625

With that explanation out of the way, let's continue. Next, we take the number 4,240,625 and divide it by 2:

4,240,625 ÷ 2 = 2,120,312.5

If the quotient is a whole number, then 2 and 2,120,312.5 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 4,240,625
-1 -4,240,625

Now, we try dividing 4,240,625 by 3:

4,240,625 ÷ 3 = 1,413,541.6667

If the quotient is a whole number, then 3 and 1,413,541.6667 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 4,240,625
-1 -4,240,625

Let's try dividing by 4:

4,240,625 ÷ 4 = 1,060,156.25

If the quotient is a whole number, then 4 and 1,060,156.25 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 4,240,625
-1 4,240,625
Keep dividing by the next highest number until you cannot divide anymore.

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

152325591151252955756251,3571,4752,8753,1256,7857,37514,37533,92536,87571,875169,625184,375848,1254,240,625
-1-5-23-25-59-115-125-295-575-625-1,357-1,475-2,875-3,125-6,785-7,375-14,375-33,925-36,875-71,875-169,625-184,375-848,125-4,240,625

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