Q: What are the factor combinations of the number 607,731,473?

 A:
Positive:   1 x 60773147319 x 3198586767 x 9070619199 x 30539271273 x 4774012399 x 2533273781 x 16073313333 x 45581
Negative: -1 x -607731473-19 x -31985867-67 x -9070619-199 x -3053927-1273 x -477401-2399 x -253327-3781 x -160733-13333 x -45581


How do I find the factor combinations of the number 607,731,473?

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 607,731,473, 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.

1 607,731,473
-1 -607,731,473

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 607,731,473.

Example:
1 x 607,731,473 = 607,731,473
and
-1 x -607,731,473 = 607,731,473
Notice both answers equal 607,731,473

With that explanation out of the way, let's continue. Next, we take the number 607,731,473 and divide it by 2:

607,731,473 ÷ 2 = 303,865,736.5

If the quotient is a whole number, then 2 and 303,865,736.5 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:

1 607,731,473
-1 -607,731,473

Now, we try dividing 607,731,473 by 3:

607,731,473 ÷ 3 = 202,577,157.6667

If the quotient is a whole number, then 3 and 202,577,157.6667 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:

1 607,731,473
-1 -607,731,473

Let's try dividing by 4:

607,731,473 ÷ 4 = 151,932,868.25

If the quotient is a whole number, then 4 and 151,932,868.25 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:

1 607,731,473
-1 607,731,473
Keep dividing by the next highest number until you cannot divide anymore.

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

119671991,2732,3993,78113,33345,581160,733253,327477,4013,053,9279,070,61931,985,867607,731,473
-1-19-67-199-1,273-2,399-3,781-13,333-45,581-160,733-253,327-477,401-3,053,927-9,070,619-31,985,867-607,731,473

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