Q: What are the factor combinations of the number 250,002,431?

 A:
Positive:   1 x 2500024317 x 3571463353 x 471702771 x 3521161371 x 673861497 x 5030233763 x 664379491 x 26341
Negative: -1 x -250002431-7 x -35714633-53 x -4717027-71 x -3521161-371 x -673861-497 x -503023-3763 x -66437-9491 x -26341


How do I find the factor combinations of the number 250,002,431?

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 250,002,431, 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.

1 250,002,431
-1 -250,002,431

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 250,002,431.

Example:
1 x 250,002,431 = 250,002,431
and
-1 x -250,002,431 = 250,002,431
Notice both answers equal 250,002,431

With that explanation out of the way, let's continue. Next, we take the number 250,002,431 and divide it by 2:

250,002,431 ÷ 2 = 125,001,215.5

If the quotient is a whole number, then 2 and 125,001,215.5 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:

1 250,002,431
-1 -250,002,431

Now, we try dividing 250,002,431 by 3:

250,002,431 ÷ 3 = 83,334,143.6667

If the quotient is a whole number, then 3 and 83,334,143.6667 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:

1 250,002,431
-1 -250,002,431

Let's try dividing by 4:

250,002,431 ÷ 4 = 62,500,607.75

If the quotient is a whole number, then 4 and 62,500,607.75 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:

1 250,002,431
-1 250,002,431
Keep dividing by the next highest number until you cannot divide anymore.

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

1753713714973,7639,49126,34166,437503,023673,8613,521,1614,717,02735,714,633250,002,431
-1-7-53-71-371-497-3,763-9,491-26,341-66,437-503,023-673,861-3,521,161-4,717,027-35,714,633-250,002,431

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