Q: What are the factor combinations of the number 376,053,107?

 A:
Positive:   1 x 37605310717 x 2212077141 x 9172027439 x 856613697 x 5395311229 x 3059837463 x 5038917999 x 20893
Negative: -1 x -376053107-17 x -22120771-41 x -9172027-439 x -856613-697 x -539531-1229 x -305983-7463 x -50389-17999 x -20893


How do I find the factor combinations of the number 376,053,107?

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 376,053,107, 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.

1 376,053,107
-1 -376,053,107

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 376,053,107.

Example:
1 x 376,053,107 = 376,053,107
and
-1 x -376,053,107 = 376,053,107
Notice both answers equal 376,053,107

With that explanation out of the way, let's continue. Next, we take the number 376,053,107 and divide it by 2:

376,053,107 ÷ 2 = 188,026,553.5

If the quotient is a whole number, then 2 and 188,026,553.5 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:

1 376,053,107
-1 -376,053,107

Now, we try dividing 376,053,107 by 3:

376,053,107 ÷ 3 = 125,351,035.6667

If the quotient is a whole number, then 3 and 125,351,035.6667 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:

1 376,053,107
-1 -376,053,107

Let's try dividing by 4:

376,053,107 ÷ 4 = 94,013,276.75

If the quotient is a whole number, then 4 and 94,013,276.75 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:

1 376,053,107
-1 376,053,107
Keep dividing by the next highest number until you cannot divide anymore.

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

117414396971,2297,46317,99920,89350,389305,983539,531856,6139,172,02722,120,771376,053,107
-1-17-41-439-697-1,229-7,463-17,999-20,893-50,389-305,983-539,531-856,613-9,172,027-22,120,771-376,053,107

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