Q: What are the factor combinations of the number 64,440,421?

 A:
Positive:   1 x 6444042117 x 379061337 x 174163353 x 1215857629 x 102449901 x 715211933 x 333371961 x 32861
Negative: -1 x -64440421-17 x -3790613-37 x -1741633-53 x -1215857-629 x -102449-901 x -71521-1933 x -33337-1961 x -32861


How do I find the factor combinations of the number 64,440,421?

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 64,440,421, 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 64,440,421
-1 -64,440,421

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 64,440,421.

Example:
1 x 64,440,421 = 64,440,421
and
-1 x -64,440,421 = 64,440,421
Notice both answers equal 64,440,421

With that explanation out of the way, let's continue. Next, we take the number 64,440,421 and divide it by 2:

64,440,421 ÷ 2 = 32,220,210.5

If the quotient is a whole number, then 2 and 32,220,210.5 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 64,440,421
-1 -64,440,421

Now, we try dividing 64,440,421 by 3:

64,440,421 ÷ 3 = 21,480,140.3333

If the quotient is a whole number, then 3 and 21,480,140.3333 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 64,440,421
-1 -64,440,421

Let's try dividing by 4:

64,440,421 ÷ 4 = 16,110,105.25

If the quotient is a whole number, then 4 and 16,110,105.25 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 64,440,421
-1 64,440,421
Keep dividing by the next highest number until you cannot divide anymore.

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

11737536299011,9331,96132,86133,33771,521102,4491,215,8571,741,6333,790,61364,440,421
-1-17-37-53-629-901-1,933-1,961-32,861-33,337-71,521-102,449-1,215,857-1,741,633-3,790,613-64,440,421

More Examples

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