Q: What are the factor combinations of the number 316,758,743?

 A:
Positive:   1 x 3167587437 x 4525124941 x 772582389 x 3559087287 x 1103689623 x 5084413649 x 8680712401 x 25543
Negative: -1 x -316758743-7 x -45251249-41 x -7725823-89 x -3559087-287 x -1103689-623 x -508441-3649 x -86807-12401 x -25543


How do I find the factor combinations of the number 316,758,743?

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 316,758,743, 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.

1 316,758,743
-1 -316,758,743

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 316,758,743.

Example:
1 x 316,758,743 = 316,758,743
and
-1 x -316,758,743 = 316,758,743
Notice both answers equal 316,758,743

With that explanation out of the way, let's continue. Next, we take the number 316,758,743 and divide it by 2:

316,758,743 ÷ 2 = 158,379,371.5

If the quotient is a whole number, then 2 and 158,379,371.5 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:

1 316,758,743
-1 -316,758,743

Now, we try dividing 316,758,743 by 3:

316,758,743 ÷ 3 = 105,586,247.6667

If the quotient is a whole number, then 3 and 105,586,247.6667 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:

1 316,758,743
-1 -316,758,743

Let's try dividing by 4:

316,758,743 ÷ 4 = 79,189,685.75

If the quotient is a whole number, then 4 and 79,189,685.75 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:

1 316,758,743
-1 316,758,743
Keep dividing by the next highest number until you cannot divide anymore.

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

1741892876233,64912,40125,54386,807508,4411,103,6893,559,0877,725,82345,251,249316,758,743
-1-7-41-89-287-623-3,649-12,401-25,543-86,807-508,441-1,103,689-3,559,087-7,725,823-45,251,249-316,758,743

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