Q: What are the factor combinations of the number 763,643,407?

 A:
Positive:   1 x 76364340737 x 2063901143 x 1775914989 x 85802631591 x 4799773293 x 2318993827 x 1995415393 x 141599
Negative: -1 x -763643407-37 x -20639011-43 x -17759149-89 x -8580263-1591 x -479977-3293 x -231899-3827 x -199541-5393 x -141599


How do I find the factor combinations of the number 763,643,407?

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 763,643,407, 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.

1 763,643,407
-1 -763,643,407

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 763,643,407.

Example:
1 x 763,643,407 = 763,643,407
and
-1 x -763,643,407 = 763,643,407
Notice both answers equal 763,643,407

With that explanation out of the way, let's continue. Next, we take the number 763,643,407 and divide it by 2:

763,643,407 ÷ 2 = 381,821,703.5

If the quotient is a whole number, then 2 and 381,821,703.5 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:

1 763,643,407
-1 -763,643,407

Now, we try dividing 763,643,407 by 3:

763,643,407 ÷ 3 = 254,547,802.3333

If the quotient is a whole number, then 3 and 254,547,802.3333 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:

1 763,643,407
-1 -763,643,407

Let's try dividing by 4:

763,643,407 ÷ 4 = 190,910,851.75

If the quotient is a whole number, then 4 and 190,910,851.75 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:

1 763,643,407
-1 763,643,407
Keep dividing by the next highest number until you cannot divide anymore.

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

13743891,5913,2933,8275,393141,599199,541231,899479,9778,580,26317,759,14920,639,011763,643,407
-1-37-43-89-1,591-3,293-3,827-5,393-141,599-199,541-231,899-479,977-8,580,263-17,759,149-20,639,011-763,643,407

More Examples

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