Q: What are the factor combinations of the number 701,675?

 A:
Positive:   1 x 7016755 x 14033513 x 5397517 x 4127525 x 2806765 x 1079585 x 8255127 x 5525221 x 3175325 x 2159425 x 1651635 x 1105
Negative: -1 x -701675-5 x -140335-13 x -53975-17 x -41275-25 x -28067-65 x -10795-85 x -8255-127 x -5525-221 x -3175-325 x -2159-425 x -1651-635 x -1105


How do I find the factor combinations of the number 701,675?

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 701,675, 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.

1 701,675
-1 -701,675

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 701,675.

Example:
1 x 701,675 = 701,675
and
-1 x -701,675 = 701,675
Notice both answers equal 701,675

With that explanation out of the way, let's continue. Next, we take the number 701,675 and divide it by 2:

701,675 ÷ 2 = 350,837.5

If the quotient is a whole number, then 2 and 350,837.5 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:

1 701,675
-1 -701,675

Now, we try dividing 701,675 by 3:

701,675 ÷ 3 = 233,891.6667

If the quotient is a whole number, then 3 and 233,891.6667 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:

1 701,675
-1 -701,675

Let's try dividing by 4:

701,675 ÷ 4 = 175,418.75

If the quotient is a whole number, then 4 and 175,418.75 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:

1 701,675
-1 701,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1513172565851272213254256351,1051,6512,1593,1755,5258,25510,79528,06741,27553,975140,335701,675
-1-5-13-17-25-65-85-127-221-325-425-635-1,105-1,651-2,159-3,175-5,525-8,255-10,795-28,067-41,275-53,975-140,335-701,675

More Examples

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