Q: What are the factor combinations of the number 352,714,747?

 A:
Positive:   1 x 3527147477 x 5038782111 x 3206497737 x 953283177 x 4580711259 x 1361833407 x 8666212849 x 123803
Negative: -1 x -352714747-7 x -50387821-11 x -32064977-37 x -9532831-77 x -4580711-259 x -1361833-407 x -866621-2849 x -123803


How do I find the factor combinations of the number 352,714,747?

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 352,714,747, 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.

1 352,714,747
-1 -352,714,747

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 352,714,747.

Example:
1 x 352,714,747 = 352,714,747
and
-1 x -352,714,747 = 352,714,747
Notice both answers equal 352,714,747

With that explanation out of the way, let's continue. Next, we take the number 352,714,747 and divide it by 2:

352,714,747 ÷ 2 = 176,357,373.5

If the quotient is a whole number, then 2 and 176,357,373.5 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:

1 352,714,747
-1 -352,714,747

Now, we try dividing 352,714,747 by 3:

352,714,747 ÷ 3 = 117,571,582.3333

If the quotient is a whole number, then 3 and 117,571,582.3333 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:

1 352,714,747
-1 -352,714,747

Let's try dividing by 4:

352,714,747 ÷ 4 = 88,178,686.75

If the quotient is a whole number, then 4 and 88,178,686.75 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:

1 352,714,747
-1 352,714,747
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,849123,803866,6211,361,8334,580,7119,532,83132,064,97750,387,821352,714,747
-1-7-11-37-77-259-407-2,849-123,803-866,621-1,361,833-4,580,711-9,532,831-32,064,977-50,387,821-352,714,747

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