Q: What are the factor combinations of the number 375,714,059?

 A:
Positive:   1 x 3757140597 x 5367343717 x 22100827119 x 3157261443 x 8481133101 x 1211597127 x 527177531 x 49889
Negative: -1 x -375714059-7 x -53673437-17 x -22100827-119 x -3157261-443 x -848113-3101 x -121159-7127 x -52717-7531 x -49889


How do I find the factor combinations of the number 375,714,059?

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 375,714,059, 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.

1 375,714,059
-1 -375,714,059

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 375,714,059.

Example:
1 x 375,714,059 = 375,714,059
and
-1 x -375,714,059 = 375,714,059
Notice both answers equal 375,714,059

With that explanation out of the way, let's continue. Next, we take the number 375,714,059 and divide it by 2:

375,714,059 ÷ 2 = 187,857,029.5

If the quotient is a whole number, then 2 and 187,857,029.5 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:

1 375,714,059
-1 -375,714,059

Now, we try dividing 375,714,059 by 3:

375,714,059 ÷ 3 = 125,238,019.6667

If the quotient is a whole number, then 3 and 125,238,019.6667 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:

1 375,714,059
-1 -375,714,059

Let's try dividing by 4:

375,714,059 ÷ 4 = 93,928,514.75

If the quotient is a whole number, then 4 and 93,928,514.75 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:

1 375,714,059
-1 375,714,059
Keep dividing by the next highest number until you cannot divide anymore.

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

17171194433,1017,1277,53149,88952,717121,159848,1133,157,26122,100,82753,673,437375,714,059
-1-7-17-119-443-3,101-7,127-7,531-49,889-52,717-121,159-848,113-3,157,261-22,100,827-53,673,437-375,714,059

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