Q: What are the factor combinations of the number 731,423?

 A:
Positive:   1 x 7314237 x 10448911 x 6649323 x 3180149 x 1492759 x 1239777 x 9499161 x 4543253 x 2891413 x 1771539 x 1357649 x 1127
Negative: -1 x -731423-7 x -104489-11 x -66493-23 x -31801-49 x -14927-59 x -12397-77 x -9499-161 x -4543-253 x -2891-413 x -1771-539 x -1357-649 x -1127


How do I find the factor combinations of the number 731,423?

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 731,423, 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.

1 731,423
-1 -731,423

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 731,423.

Example:
1 x 731,423 = 731,423
and
-1 x -731,423 = 731,423
Notice both answers equal 731,423

With that explanation out of the way, let's continue. Next, we take the number 731,423 and divide it by 2:

731,423 ÷ 2 = 365,711.5

If the quotient is a whole number, then 2 and 365,711.5 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:

1 731,423
-1 -731,423

Now, we try dividing 731,423 by 3:

731,423 ÷ 3 = 243,807.6667

If the quotient is a whole number, then 3 and 243,807.6667 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:

1 731,423
-1 -731,423

Let's try dividing by 4:

731,423 ÷ 4 = 182,855.75

If the quotient is a whole number, then 4 and 182,855.75 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:

1 731,423
-1 731,423
Keep dividing by the next highest number until you cannot divide anymore.

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

1711234959771612534135396491,1271,3571,7712,8914,5439,49912,39714,92731,80166,493104,489731,423
-1-7-11-23-49-59-77-161-253-413-539-649-1,127-1,357-1,771-2,891-4,543-9,499-12,397-14,927-31,801-66,493-104,489-731,423

More Examples

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