Q: What are the factor combinations of the number 351,712,565?

 A:
Positive:   1 x 3517125655 x 7034251337 x 9505745137 x 2567245185 x 1901149685 x 5134495069 x 6938513877 x 25345
Negative: -1 x -351712565-5 x -70342513-37 x -9505745-137 x -2567245-185 x -1901149-685 x -513449-5069 x -69385-13877 x -25345


How do I find the factor combinations of the number 351,712,565?

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 351,712,565, 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.

1 351,712,565
-1 -351,712,565

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 351,712,565.

Example:
1 x 351,712,565 = 351,712,565
and
-1 x -351,712,565 = 351,712,565
Notice both answers equal 351,712,565

With that explanation out of the way, let's continue. Next, we take the number 351,712,565 and divide it by 2:

351,712,565 ÷ 2 = 175,856,282.5

If the quotient is a whole number, then 2 and 175,856,282.5 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:

1 351,712,565
-1 -351,712,565

Now, we try dividing 351,712,565 by 3:

351,712,565 ÷ 3 = 117,237,521.6667

If the quotient is a whole number, then 3 and 117,237,521.6667 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:

1 351,712,565
-1 -351,712,565

Let's try dividing by 4:

351,712,565 ÷ 4 = 87,928,141.25

If the quotient is a whole number, then 4 and 87,928,141.25 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:

1 351,712,565
-1 351,712,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15371371856855,06913,87725,34569,385513,4491,901,1492,567,2459,505,74570,342,513351,712,565
-1-5-37-137-185-685-5,069-13,877-25,345-69,385-513,449-1,901,149-2,567,245-9,505,745-70,342,513-351,712,565

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