Q: What are the factor combinations of the number 601,274,471?

 A:
Positive:   1 x 6012744717 x 8589635341 x 14665231287 x 2095033761 x 7901112753 x 2184075327 x 11287319271 x 31201
Negative: -1 x -601274471-7 x -85896353-41 x -14665231-287 x -2095033-761 x -790111-2753 x -218407-5327 x -112873-19271 x -31201


How do I find the factor combinations of the number 601,274,471?

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 601,274,471, 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.

1 601,274,471
-1 -601,274,471

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 601,274,471.

Example:
1 x 601,274,471 = 601,274,471
and
-1 x -601,274,471 = 601,274,471
Notice both answers equal 601,274,471

With that explanation out of the way, let's continue. Next, we take the number 601,274,471 and divide it by 2:

601,274,471 ÷ 2 = 300,637,235.5

If the quotient is a whole number, then 2 and 300,637,235.5 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:

1 601,274,471
-1 -601,274,471

Now, we try dividing 601,274,471 by 3:

601,274,471 ÷ 3 = 200,424,823.6667

If the quotient is a whole number, then 3 and 200,424,823.6667 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:

1 601,274,471
-1 -601,274,471

Let's try dividing by 4:

601,274,471 ÷ 4 = 150,318,617.75

If the quotient is a whole number, then 4 and 150,318,617.75 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:

1 601,274,471
-1 601,274,471
Keep dividing by the next highest number until you cannot divide anymore.

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

17412877612,7535,32719,27131,201112,873218,407790,1112,095,03314,665,23185,896,353601,274,471
-1-7-41-287-761-2,753-5,327-19,271-31,201-112,873-218,407-790,111-2,095,033-14,665,231-85,896,353-601,274,471

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