Q: What are the factor combinations of the number 352,001,351?

 A:
Positive:   1 x 35200135113 x 27077027239 x 1472809277 x 1270763409 x 8606393107 x 1132933601 x 977515317 x 66203
Negative: -1 x -352001351-13 x -27077027-239 x -1472809-277 x -1270763-409 x -860639-3107 x -113293-3601 x -97751-5317 x -66203


How do I find the factor combinations of the number 352,001,351?

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 352,001,351, 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.

1 352,001,351
-1 -352,001,351

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 352,001,351.

Example:
1 x 352,001,351 = 352,001,351
and
-1 x -352,001,351 = 352,001,351
Notice both answers equal 352,001,351

With that explanation out of the way, let's continue. Next, we take the number 352,001,351 and divide it by 2:

352,001,351 ÷ 2 = 176,000,675.5

If the quotient is a whole number, then 2 and 176,000,675.5 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:

1 352,001,351
-1 -352,001,351

Now, we try dividing 352,001,351 by 3:

352,001,351 ÷ 3 = 117,333,783.6667

If the quotient is a whole number, then 3 and 117,333,783.6667 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:

1 352,001,351
-1 -352,001,351

Let's try dividing by 4:

352,001,351 ÷ 4 = 88,000,337.75

If the quotient is a whole number, then 4 and 88,000,337.75 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:

1 352,001,351
-1 352,001,351
Keep dividing by the next highest number until you cannot divide anymore.

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

1132392774093,1073,6015,31766,20397,751113,293860,6391,270,7631,472,80927,077,027352,001,351
-1-13-239-277-409-3,107-3,601-5,317-66,203-97,751-113,293-860,639-1,270,763-1,472,809-27,077,027-352,001,351

More Examples

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