Q: What are the factor combinations of the number 865,833,749?

 A:
Positive:   1 x 86583374911 x 7871215917 x 50931397187 x 4630127521 x 16618695731 x 1510798857 x 977578887 x 97427
Negative: -1 x -865833749-11 x -78712159-17 x -50931397-187 x -4630127-521 x -1661869-5731 x -151079-8857 x -97757-8887 x -97427


How do I find the factor combinations of the number 865,833,749?

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 865,833,749, 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.

1 865,833,749
-1 -865,833,749

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 865,833,749.

Example:
1 x 865,833,749 = 865,833,749
and
-1 x -865,833,749 = 865,833,749
Notice both answers equal 865,833,749

With that explanation out of the way, let's continue. Next, we take the number 865,833,749 and divide it by 2:

865,833,749 ÷ 2 = 432,916,874.5

If the quotient is a whole number, then 2 and 432,916,874.5 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:

1 865,833,749
-1 -865,833,749

Now, we try dividing 865,833,749 by 3:

865,833,749 ÷ 3 = 288,611,249.6667

If the quotient is a whole number, then 3 and 288,611,249.6667 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:

1 865,833,749
-1 -865,833,749

Let's try dividing by 4:

865,833,749 ÷ 4 = 216,458,437.25

If the quotient is a whole number, then 4 and 216,458,437.25 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:

1 865,833,749
-1 865,833,749
Keep dividing by the next highest number until you cannot divide anymore.

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

111171875215,7318,8578,88797,42797,757151,0791,661,8694,630,12750,931,39778,712,159865,833,749
-1-11-17-187-521-5,731-8,857-8,887-97,427-97,757-151,079-1,661,869-4,630,127-50,931,397-78,712,159-865,833,749

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