Q: What are the factor combinations of the number 657,047,639?

 A:
Positive:   1 x 65704763947 x 1397973797 x 6773687167 x 3934417863 x 7613534559 x 1441217849 x 8371116199 x 40561
Negative: -1 x -657047639-47 x -13979737-97 x -6773687-167 x -3934417-863 x -761353-4559 x -144121-7849 x -83711-16199 x -40561


How do I find the factor combinations of the number 657,047,639?

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 657,047,639, 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.

1 657,047,639
-1 -657,047,639

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 657,047,639.

Example:
1 x 657,047,639 = 657,047,639
and
-1 x -657,047,639 = 657,047,639
Notice both answers equal 657,047,639

With that explanation out of the way, let's continue. Next, we take the number 657,047,639 and divide it by 2:

657,047,639 ÷ 2 = 328,523,819.5

If the quotient is a whole number, then 2 and 328,523,819.5 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:

1 657,047,639
-1 -657,047,639

Now, we try dividing 657,047,639 by 3:

657,047,639 ÷ 3 = 219,015,879.6667

If the quotient is a whole number, then 3 and 219,015,879.6667 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:

1 657,047,639
-1 -657,047,639

Let's try dividing by 4:

657,047,639 ÷ 4 = 164,261,909.75

If the quotient is a whole number, then 4 and 164,261,909.75 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:

1 657,047,639
-1 657,047,639
Keep dividing by the next highest number until you cannot divide anymore.

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

147971678634,5597,84916,19940,56183,711144,121761,3533,934,4176,773,68713,979,737657,047,639
-1-47-97-167-863-4,559-7,849-16,199-40,561-83,711-144,121-761,353-3,934,417-6,773,687-13,979,737-657,047,639

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