Q: What are the factor combinations of the number 671,414,525?

 A:
Positive:   1 x 6714145255 x 13428290525 x 2685658129 x 23152225145 x 4630445725 x 926089
Negative: -1 x -671414525-5 x -134282905-25 x -26856581-29 x -23152225-145 x -4630445-725 x -926089


How do I find the factor combinations of the number 671,414,525?

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 671,414,525, 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.

1 671,414,525
-1 -671,414,525

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 671,414,525.

Example:
1 x 671,414,525 = 671,414,525
and
-1 x -671,414,525 = 671,414,525
Notice both answers equal 671,414,525

With that explanation out of the way, let's continue. Next, we take the number 671,414,525 and divide it by 2:

671,414,525 ÷ 2 = 335,707,262.5

If the quotient is a whole number, then 2 and 335,707,262.5 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:

1 671,414,525
-1 -671,414,525

Now, we try dividing 671,414,525 by 3:

671,414,525 ÷ 3 = 223,804,841.6667

If the quotient is a whole number, then 3 and 223,804,841.6667 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:

1 671,414,525
-1 -671,414,525

Let's try dividing by 4:

671,414,525 ÷ 4 = 167,853,631.25

If the quotient is a whole number, then 4 and 167,853,631.25 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:

1 671,414,525
-1 671,414,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152529145725926,0894,630,44523,152,22526,856,581134,282,905671,414,525
-1-5-25-29-145-725-926,089-4,630,445-23,152,225-26,856,581-134,282,905-671,414,525

More Examples

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