Q: What are the factor combinations of the number 436,742,015?

 A:
Positive:   1 x 4367420155 x 8734840397 x 4502495485 x 900499769 x 5679351171 x 3729653845 x 1135875855 x 74593
Negative: -1 x -436742015-5 x -87348403-97 x -4502495-485 x -900499-769 x -567935-1171 x -372965-3845 x -113587-5855 x -74593


How do I find the factor combinations of the number 436,742,015?

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 436,742,015, 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.

1 436,742,015
-1 -436,742,015

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 436,742,015.

Example:
1 x 436,742,015 = 436,742,015
and
-1 x -436,742,015 = 436,742,015
Notice both answers equal 436,742,015

With that explanation out of the way, let's continue. Next, we take the number 436,742,015 and divide it by 2:

436,742,015 ÷ 2 = 218,371,007.5

If the quotient is a whole number, then 2 and 218,371,007.5 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:

1 436,742,015
-1 -436,742,015

Now, we try dividing 436,742,015 by 3:

436,742,015 ÷ 3 = 145,580,671.6667

If the quotient is a whole number, then 3 and 145,580,671.6667 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:

1 436,742,015
-1 -436,742,015

Let's try dividing by 4:

436,742,015 ÷ 4 = 109,185,503.75

If the quotient is a whole number, then 4 and 109,185,503.75 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:

1 436,742,015
-1 436,742,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15974857691,1713,8455,85574,593113,587372,965567,935900,4994,502,49587,348,403436,742,015
-1-5-97-485-769-1,171-3,845-5,855-74,593-113,587-372,965-567,935-900,499-4,502,495-87,348,403-436,742,015

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