Q: What are the factor combinations of the number 87,609,265?

 A:
Positive:   1 x 876092655 x 1752185353 x 1653005265 x 330601269 x 3256851229 x 712851345 x 651376145 x 14257
Negative: -1 x -87609265-5 x -17521853-53 x -1653005-265 x -330601-269 x -325685-1229 x -71285-1345 x -65137-6145 x -14257


How do I find the factor combinations of the number 87,609,265?

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 87,609,265, 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 87,609,265
-1 -87,609,265

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 87,609,265.

Example:
1 x 87,609,265 = 87,609,265
and
-1 x -87,609,265 = 87,609,265
Notice both answers equal 87,609,265

With that explanation out of the way, let's continue. Next, we take the number 87,609,265 and divide it by 2:

87,609,265 ÷ 2 = 43,804,632.5

If the quotient is a whole number, then 2 and 43,804,632.5 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 87,609,265
-1 -87,609,265

Now, we try dividing 87,609,265 by 3:

87,609,265 ÷ 3 = 29,203,088.3333

If the quotient is a whole number, then 3 and 29,203,088.3333 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 87,609,265
-1 -87,609,265

Let's try dividing by 4:

87,609,265 ÷ 4 = 21,902,316.25

If the quotient is a whole number, then 4 and 21,902,316.25 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 87,609,265
-1 87,609,265
Keep dividing by the next highest number until you cannot divide anymore.

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

15532652691,2291,3456,14514,25765,13771,285325,685330,6011,653,00517,521,85387,609,265
-1-5-53-265-269-1,229-1,345-6,145-14,257-65,137-71,285-325,685-330,601-1,653,005-17,521,853-87,609,265

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