Q: What are the factor combinations of the number 463,443,643?

 A:
Positive:   1 x 46344364313 x 3564951159 x 7854977107 x 4331249767 x 6042291391 x 3331735647 x 820696313 x 73411
Negative: -1 x -463443643-13 x -35649511-59 x -7854977-107 x -4331249-767 x -604229-1391 x -333173-5647 x -82069-6313 x -73411


How do I find the factor combinations of the number 463,443,643?

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 463,443,643, 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.

1 463,443,643
-1 -463,443,643

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 463,443,643.

Example:
1 x 463,443,643 = 463,443,643
and
-1 x -463,443,643 = 463,443,643
Notice both answers equal 463,443,643

With that explanation out of the way, let's continue. Next, we take the number 463,443,643 and divide it by 2:

463,443,643 ÷ 2 = 231,721,821.5

If the quotient is a whole number, then 2 and 231,721,821.5 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:

1 463,443,643
-1 -463,443,643

Now, we try dividing 463,443,643 by 3:

463,443,643 ÷ 3 = 154,481,214.3333

If the quotient is a whole number, then 3 and 154,481,214.3333 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:

1 463,443,643
-1 -463,443,643

Let's try dividing by 4:

463,443,643 ÷ 4 = 115,860,910.75

If the quotient is a whole number, then 4 and 115,860,910.75 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:

1 463,443,643
-1 463,443,643
Keep dividing by the next highest number until you cannot divide anymore.

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

113591077671,3915,6476,31373,41182,069333,173604,2294,331,2497,854,97735,649,511463,443,643
-1-13-59-107-767-1,391-5,647-6,313-73,411-82,069-333,173-604,229-4,331,249-7,854,977-35,649,511-463,443,643

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