Q: What are the factor combinations of the number 374,000,705?

 A:
Positive:   1 x 3740007055 x 7480014113 x 2876928559 x 633899565 x 5753857295 x 1267799767 x 4876153835 x 97523
Negative: -1 x -374000705-5 x -74800141-13 x -28769285-59 x -6338995-65 x -5753857-295 x -1267799-767 x -487615-3835 x -97523


How do I find the factor combinations of the number 374,000,705?

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 374,000,705, 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.

1 374,000,705
-1 -374,000,705

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 374,000,705.

Example:
1 x 374,000,705 = 374,000,705
and
-1 x -374,000,705 = 374,000,705
Notice both answers equal 374,000,705

With that explanation out of the way, let's continue. Next, we take the number 374,000,705 and divide it by 2:

374,000,705 ÷ 2 = 187,000,352.5

If the quotient is a whole number, then 2 and 187,000,352.5 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:

1 374,000,705
-1 -374,000,705

Now, we try dividing 374,000,705 by 3:

374,000,705 ÷ 3 = 124,666,901.6667

If the quotient is a whole number, then 3 and 124,666,901.6667 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:

1 374,000,705
-1 -374,000,705

Let's try dividing by 4:

374,000,705 ÷ 4 = 93,500,176.25

If the quotient is a whole number, then 4 and 93,500,176.25 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:

1 374,000,705
-1 374,000,705
Keep dividing by the next highest number until you cannot divide anymore.

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

151359652957673,83597,523487,6151,267,7995,753,8576,338,99528,769,28574,800,141374,000,705
-1-5-13-59-65-295-767-3,835-97,523-487,615-1,267,799-5,753,857-6,338,995-28,769,285-74,800,141-374,000,705

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