Q: What are the factor combinations of the number 644,306,377?

 A:
Positive:   1 x 64430637711 x 5857330713 x 49562029143 x 4505639547 x 11778916017 x 1070817111 x 906078237 x 78221
Negative: -1 x -644306377-11 x -58573307-13 x -49562029-143 x -4505639-547 x -1177891-6017 x -107081-7111 x -90607-8237 x -78221


How do I find the factor combinations of the number 644,306,377?

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 644,306,377, 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.

1 644,306,377
-1 -644,306,377

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 644,306,377.

Example:
1 x 644,306,377 = 644,306,377
and
-1 x -644,306,377 = 644,306,377
Notice both answers equal 644,306,377

With that explanation out of the way, let's continue. Next, we take the number 644,306,377 and divide it by 2:

644,306,377 ÷ 2 = 322,153,188.5

If the quotient is a whole number, then 2 and 322,153,188.5 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:

1 644,306,377
-1 -644,306,377

Now, we try dividing 644,306,377 by 3:

644,306,377 ÷ 3 = 214,768,792.3333

If the quotient is a whole number, then 3 and 214,768,792.3333 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:

1 644,306,377
-1 -644,306,377

Let's try dividing by 4:

644,306,377 ÷ 4 = 161,076,594.25

If the quotient is a whole number, then 4 and 161,076,594.25 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:

1 644,306,377
-1 644,306,377
Keep dividing by the next highest number until you cannot divide anymore.

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

111131435476,0177,1118,23778,22190,607107,0811,177,8914,505,63949,562,02958,573,307644,306,377
-1-11-13-143-547-6,017-7,111-8,237-78,221-90,607-107,081-1,177,891-4,505,639-49,562,029-58,573,307-644,306,377

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