Q: What are the factor combinations of the number 376,828,705?

 A:
Positive:   1 x 3768287055 x 7536574111 x 3425715555 x 6851431131 x 2876555655 x 5753111441 x 2615057205 x 52301
Negative: -1 x -376828705-5 x -75365741-11 x -34257155-55 x -6851431-131 x -2876555-655 x -575311-1441 x -261505-7205 x -52301


How do I find the factor combinations of the number 376,828,705?

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 376,828,705, 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.

1 376,828,705
-1 -376,828,705

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 376,828,705.

Example:
1 x 376,828,705 = 376,828,705
and
-1 x -376,828,705 = 376,828,705
Notice both answers equal 376,828,705

With that explanation out of the way, let's continue. Next, we take the number 376,828,705 and divide it by 2:

376,828,705 ÷ 2 = 188,414,352.5

If the quotient is a whole number, then 2 and 188,414,352.5 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:

1 376,828,705
-1 -376,828,705

Now, we try dividing 376,828,705 by 3:

376,828,705 ÷ 3 = 125,609,568.3333

If the quotient is a whole number, then 3 and 125,609,568.3333 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:

1 376,828,705
-1 -376,828,705

Let's try dividing by 4:

376,828,705 ÷ 4 = 94,207,176.25

If the quotient is a whole number, then 4 and 94,207,176.25 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:

1 376,828,705
-1 376,828,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551316551,4417,20552,301261,505575,3112,876,5556,851,43134,257,15575,365,741376,828,705
-1-5-11-55-131-655-1,441-7,205-52,301-261,505-575,311-2,876,555-6,851,431-34,257,155-75,365,741-376,828,705

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