Q: What are the factor combinations of the number 64,502,425?

 A:
Positive:   1 x 645024255 x 1290048513 x 496172525 x 258009765 x 992345325 x 198469
Negative: -1 x -64502425-5 x -12900485-13 x -4961725-25 x -2580097-65 x -992345-325 x -198469


How do I find the factor combinations of the number 64,502,425?

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 64,502,425, 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 64,502,425
-1 -64,502,425

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 64,502,425.

Example:
1 x 64,502,425 = 64,502,425
and
-1 x -64,502,425 = 64,502,425
Notice both answers equal 64,502,425

With that explanation out of the way, let's continue. Next, we take the number 64,502,425 and divide it by 2:

64,502,425 ÷ 2 = 32,251,212.5

If the quotient is a whole number, then 2 and 32,251,212.5 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 64,502,425
-1 -64,502,425

Now, we try dividing 64,502,425 by 3:

64,502,425 ÷ 3 = 21,500,808.3333

If the quotient is a whole number, then 3 and 21,500,808.3333 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 64,502,425
-1 -64,502,425

Let's try dividing by 4:

64,502,425 ÷ 4 = 16,125,606.25

If the quotient is a whole number, then 4 and 16,125,606.25 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 64,502,425
-1 64,502,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565325198,469992,3452,580,0974,961,72512,900,48564,502,425
-1-5-13-25-65-325-198,469-992,345-2,580,097-4,961,725-12,900,485-64,502,425

More Examples

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