Q: What are the factor combinations of the number 340,436,015?

 A:
Positive:   1 x 3404360155 x 6808720319 x 1791768595 x 3583537107 x 3181645313 x 1087655535 x 6363291565 x 2175312033 x 1674555947 x 5724510165 x 3349111449 x 29735
Negative: -1 x -340436015-5 x -68087203-19 x -17917685-95 x -3583537-107 x -3181645-313 x -1087655-535 x -636329-1565 x -217531-2033 x -167455-5947 x -57245-10165 x -33491-11449 x -29735


How do I find the factor combinations of the number 340,436,015?

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 340,436,015, 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.

1 340,436,015
-1 -340,436,015

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 340,436,015.

Example:
1 x 340,436,015 = 340,436,015
and
-1 x -340,436,015 = 340,436,015
Notice both answers equal 340,436,015

With that explanation out of the way, let's continue. Next, we take the number 340,436,015 and divide it by 2:

340,436,015 ÷ 2 = 170,218,007.5

If the quotient is a whole number, then 2 and 170,218,007.5 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:

1 340,436,015
-1 -340,436,015

Now, we try dividing 340,436,015 by 3:

340,436,015 ÷ 3 = 113,478,671.6667

If the quotient is a whole number, then 3 and 113,478,671.6667 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:

1 340,436,015
-1 -340,436,015

Let's try dividing by 4:

340,436,015 ÷ 4 = 85,109,003.75

If the quotient is a whole number, then 4 and 85,109,003.75 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:

1 340,436,015
-1 340,436,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951073135351,5652,0335,94710,16511,44929,73533,49157,245167,455217,531636,3291,087,6553,181,6453,583,53717,917,68568,087,203340,436,015
-1-5-19-95-107-313-535-1,565-2,033-5,947-10,165-11,449-29,735-33,491-57,245-167,455-217,531-636,329-1,087,655-3,181,645-3,583,537-17,917,685-68,087,203-340,436,015

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