Q: What are the factor combinations of the number 747,646,547?

 A:
Positive:   1 x 74764654743 x 1738712989 x 8400523347 x 2154601563 x 13279693827 x 19536114921 x 5010724209 x 30883
Negative: -1 x -747646547-43 x -17387129-89 x -8400523-347 x -2154601-563 x -1327969-3827 x -195361-14921 x -50107-24209 x -30883


How do I find the factor combinations of the number 747,646,547?

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 747,646,547, 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.

1 747,646,547
-1 -747,646,547

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 747,646,547.

Example:
1 x 747,646,547 = 747,646,547
and
-1 x -747,646,547 = 747,646,547
Notice both answers equal 747,646,547

With that explanation out of the way, let's continue. Next, we take the number 747,646,547 and divide it by 2:

747,646,547 ÷ 2 = 373,823,273.5

If the quotient is a whole number, then 2 and 373,823,273.5 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:

1 747,646,547
-1 -747,646,547

Now, we try dividing 747,646,547 by 3:

747,646,547 ÷ 3 = 249,215,515.6667

If the quotient is a whole number, then 3 and 249,215,515.6667 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:

1 747,646,547
-1 -747,646,547

Let's try dividing by 4:

747,646,547 ÷ 4 = 186,911,636.75

If the quotient is a whole number, then 4 and 186,911,636.75 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:

1 747,646,547
-1 747,646,547
Keep dividing by the next highest number until you cannot divide anymore.

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

143893475633,82714,92124,20930,88350,107195,3611,327,9692,154,6018,400,52317,387,129747,646,547
-1-43-89-347-563-3,827-14,921-24,209-30,883-50,107-195,361-1,327,969-2,154,601-8,400,523-17,387,129-747,646,547

More Examples

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