Q: What are the factor combinations of the number 172,670,509?

 A:
Positive:   1 x 17267050911 x 1569731971 x 2431979101 x 1709609121 x 1427029199 x 867691781 x 2210891111 x 1554192189 x 788817171 x 240798591 x 2009912221 x 14129
Negative: -1 x -172670509-11 x -15697319-71 x -2431979-101 x -1709609-121 x -1427029-199 x -867691-781 x -221089-1111 x -155419-2189 x -78881-7171 x -24079-8591 x -20099-12221 x -14129


How do I find the factor combinations of the number 172,670,509?

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 172,670,509, 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.

1 172,670,509
-1 -172,670,509

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 172,670,509.

Example:
1 x 172,670,509 = 172,670,509
and
-1 x -172,670,509 = 172,670,509
Notice both answers equal 172,670,509

With that explanation out of the way, let's continue. Next, we take the number 172,670,509 and divide it by 2:

172,670,509 ÷ 2 = 86,335,254.5

If the quotient is a whole number, then 2 and 86,335,254.5 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:

1 172,670,509
-1 -172,670,509

Now, we try dividing 172,670,509 by 3:

172,670,509 ÷ 3 = 57,556,836.3333

If the quotient is a whole number, then 3 and 57,556,836.3333 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:

1 172,670,509
-1 -172,670,509

Let's try dividing by 4:

172,670,509 ÷ 4 = 43,167,627.25

If the quotient is a whole number, then 4 and 43,167,627.25 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:

1 172,670,509
-1 172,670,509
Keep dividing by the next highest number until you cannot divide anymore.

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

111711011211997811,1112,1897,1718,59112,22114,12920,09924,07978,881155,419221,089867,6911,427,0291,709,6092,431,97915,697,319172,670,509
-1-11-71-101-121-199-781-1,111-2,189-7,171-8,591-12,221-14,129-20,099-24,079-78,881-155,419-221,089-867,691-1,427,029-1,709,609-2,431,979-15,697,319-172,670,509

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