Q: What are the factor combinations of the number 361,263,301?

 A:
Positive:   1 x 3612633017 x 5160904337 x 9763873229 x 1577569259 x 13948391603 x 2253676091 x 593118473 x 42637
Negative: -1 x -361263301-7 x -51609043-37 x -9763873-229 x -1577569-259 x -1394839-1603 x -225367-6091 x -59311-8473 x -42637


How do I find the factor combinations of the number 361,263,301?

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 361,263,301, 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.

1 361,263,301
-1 -361,263,301

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 361,263,301.

Example:
1 x 361,263,301 = 361,263,301
and
-1 x -361,263,301 = 361,263,301
Notice both answers equal 361,263,301

With that explanation out of the way, let's continue. Next, we take the number 361,263,301 and divide it by 2:

361,263,301 ÷ 2 = 180,631,650.5

If the quotient is a whole number, then 2 and 180,631,650.5 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:

1 361,263,301
-1 -361,263,301

Now, we try dividing 361,263,301 by 3:

361,263,301 ÷ 3 = 120,421,100.3333

If the quotient is a whole number, then 3 and 120,421,100.3333 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:

1 361,263,301
-1 -361,263,301

Let's try dividing by 4:

361,263,301 ÷ 4 = 90,315,825.25

If the quotient is a whole number, then 4 and 90,315,825.25 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:

1 361,263,301
-1 361,263,301
Keep dividing by the next highest number until you cannot divide anymore.

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

17372292591,6036,0918,47342,63759,311225,3671,394,8391,577,5699,763,87351,609,043361,263,301
-1-7-37-229-259-1,603-6,091-8,473-42,637-59,311-225,367-1,394,839-1,577,569-9,763,873-51,609,043-361,263,301

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