Q: What are the factor combinations of the number 375,501,419?

 A:
Positive:   1 x 37550141931 x 1211294937 x 10148687443 x 847633739 x 5081211147 x 32737713733 x 2734316391 x 22909
Negative: -1 x -375501419-31 x -12112949-37 x -10148687-443 x -847633-739 x -508121-1147 x -327377-13733 x -27343-16391 x -22909


How do I find the factor combinations of the number 375,501,419?

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 375,501,419, 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.

1 375,501,419
-1 -375,501,419

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 375,501,419.

Example:
1 x 375,501,419 = 375,501,419
and
-1 x -375,501,419 = 375,501,419
Notice both answers equal 375,501,419

With that explanation out of the way, let's continue. Next, we take the number 375,501,419 and divide it by 2:

375,501,419 ÷ 2 = 187,750,709.5

If the quotient is a whole number, then 2 and 187,750,709.5 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:

1 375,501,419
-1 -375,501,419

Now, we try dividing 375,501,419 by 3:

375,501,419 ÷ 3 = 125,167,139.6667

If the quotient is a whole number, then 3 and 125,167,139.6667 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:

1 375,501,419
-1 -375,501,419

Let's try dividing by 4:

375,501,419 ÷ 4 = 93,875,354.75

If the quotient is a whole number, then 4 and 93,875,354.75 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:

1 375,501,419
-1 375,501,419
Keep dividing by the next highest number until you cannot divide anymore.

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

131374437391,14713,73316,39122,90927,343327,377508,121847,63310,148,68712,112,949375,501,419
-1-31-37-443-739-1,147-13,733-16,391-22,909-27,343-327,377-508,121-847,633-10,148,687-12,112,949-375,501,419

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