Q: What are the factor combinations of the number 624,626,513?

 A:
Positive:   1 x 6246265137 x 8923235941 x 15234793127 x 4918319287 x 2176399889 x 7026175207 x 11995917137 x 36449
Negative: -1 x -624626513-7 x -89232359-41 x -15234793-127 x -4918319-287 x -2176399-889 x -702617-5207 x -119959-17137 x -36449


How do I find the factor combinations of the number 624,626,513?

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 624,626,513, 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.

1 624,626,513
-1 -624,626,513

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 624,626,513.

Example:
1 x 624,626,513 = 624,626,513
and
-1 x -624,626,513 = 624,626,513
Notice both answers equal 624,626,513

With that explanation out of the way, let's continue. Next, we take the number 624,626,513 and divide it by 2:

624,626,513 ÷ 2 = 312,313,256.5

If the quotient is a whole number, then 2 and 312,313,256.5 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:

1 624,626,513
-1 -624,626,513

Now, we try dividing 624,626,513 by 3:

624,626,513 ÷ 3 = 208,208,837.6667

If the quotient is a whole number, then 3 and 208,208,837.6667 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:

1 624,626,513
-1 -624,626,513

Let's try dividing by 4:

624,626,513 ÷ 4 = 156,156,628.25

If the quotient is a whole number, then 4 and 156,156,628.25 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:

1 624,626,513
-1 624,626,513
Keep dividing by the next highest number until you cannot divide anymore.

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

17411272878895,20717,13736,449119,959702,6172,176,3994,918,31915,234,79389,232,359624,626,513
-1-7-41-127-287-889-5,207-17,137-36,449-119,959-702,617-2,176,399-4,918,319-15,234,793-89,232,359-624,626,513

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