Q: What are the factor combinations of the number 771,287,501?

 A:
Positive:   1 x 77128750117 x 4536985319 x 40594079211 x 3655391323 x 23878873587 x 2150234009 x 19238911317 x 68153
Negative: -1 x -771287501-17 x -45369853-19 x -40594079-211 x -3655391-323 x -2387887-3587 x -215023-4009 x -192389-11317 x -68153


How do I find the factor combinations of the number 771,287,501?

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 771,287,501, 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.

1 771,287,501
-1 -771,287,501

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 771,287,501.

Example:
1 x 771,287,501 = 771,287,501
and
-1 x -771,287,501 = 771,287,501
Notice both answers equal 771,287,501

With that explanation out of the way, let's continue. Next, we take the number 771,287,501 and divide it by 2:

771,287,501 ÷ 2 = 385,643,750.5

If the quotient is a whole number, then 2 and 385,643,750.5 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:

1 771,287,501
-1 -771,287,501

Now, we try dividing 771,287,501 by 3:

771,287,501 ÷ 3 = 257,095,833.6667

If the quotient is a whole number, then 3 and 257,095,833.6667 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:

1 771,287,501
-1 -771,287,501

Let's try dividing by 4:

771,287,501 ÷ 4 = 192,821,875.25

If the quotient is a whole number, then 4 and 192,821,875.25 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:

1 771,287,501
-1 771,287,501
Keep dividing by the next highest number until you cannot divide anymore.

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

117192113233,5874,00911,31768,153192,389215,0232,387,8873,655,39140,594,07945,369,853771,287,501
-1-17-19-211-323-3,587-4,009-11,317-68,153-192,389-215,023-2,387,887-3,655,391-40,594,079-45,369,853-771,287,501

More Examples

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