Q: What are the factor combinations of the number 172,531,765?

 A:
Positive:   1 x 1725317655 x 345063537 x 2464739535 x 49294791601 x 1077653079 x 560358005 x 2155311207 x 15395
Negative: -1 x -172531765-5 x -34506353-7 x -24647395-35 x -4929479-1601 x -107765-3079 x -56035-8005 x -21553-11207 x -15395


How do I find the factor combinations of the number 172,531,765?

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 172,531,765, 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.

1 172,531,765
-1 -172,531,765

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 172,531,765.

Example:
1 x 172,531,765 = 172,531,765
and
-1 x -172,531,765 = 172,531,765
Notice both answers equal 172,531,765

With that explanation out of the way, let's continue. Next, we take the number 172,531,765 and divide it by 2:

172,531,765 ÷ 2 = 86,265,882.5

If the quotient is a whole number, then 2 and 86,265,882.5 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:

1 172,531,765
-1 -172,531,765

Now, we try dividing 172,531,765 by 3:

172,531,765 ÷ 3 = 57,510,588.3333

If the quotient is a whole number, then 3 and 57,510,588.3333 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:

1 172,531,765
-1 -172,531,765

Let's try dividing by 4:

172,531,765 ÷ 4 = 43,132,941.25

If the quotient is a whole number, then 4 and 43,132,941.25 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:

1 172,531,765
-1 172,531,765
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,6013,0798,00511,20715,39521,55356,035107,7654,929,47924,647,39534,506,353172,531,765
-1-5-7-35-1,601-3,079-8,005-11,207-15,395-21,553-56,035-107,765-4,929,479-24,647,395-34,506,353-172,531,765

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