Q: What are the factor combinations of the number 446,132,315?

 A:
Positive:   1 x 4461323155 x 8922646331 x 14391365139 x 3209585155 x 2878273695 x 6419174309 x 10353520707 x 21545
Negative: -1 x -446132315-5 x -89226463-31 x -14391365-139 x -3209585-155 x -2878273-695 x -641917-4309 x -103535-20707 x -21545


How do I find the factor combinations of the number 446,132,315?

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 446,132,315, 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.

1 446,132,315
-1 -446,132,315

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 446,132,315.

Example:
1 x 446,132,315 = 446,132,315
and
-1 x -446,132,315 = 446,132,315
Notice both answers equal 446,132,315

With that explanation out of the way, let's continue. Next, we take the number 446,132,315 and divide it by 2:

446,132,315 ÷ 2 = 223,066,157.5

If the quotient is a whole number, then 2 and 223,066,157.5 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:

1 446,132,315
-1 -446,132,315

Now, we try dividing 446,132,315 by 3:

446,132,315 ÷ 3 = 148,710,771.6667

If the quotient is a whole number, then 3 and 148,710,771.6667 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:

1 446,132,315
-1 -446,132,315

Let's try dividing by 4:

446,132,315 ÷ 4 = 111,533,078.75

If the quotient is a whole number, then 4 and 111,533,078.75 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:

1 446,132,315
-1 446,132,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15311391556954,30920,70721,545103,535641,9172,878,2733,209,58514,391,36589,226,463446,132,315
-1-5-31-139-155-695-4,309-20,707-21,545-103,535-641,917-2,878,273-3,209,585-14,391,365-89,226,463-446,132,315

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