Q: What are the factor combinations of the number 5,671,625?

 A:
Positive:   1 x 56716255 x 113432517 x 33362525 x 22686585 x 66725125 x 45373157 x 36125289 x 19625425 x 13345785 x 72251445 x 39252125 x 2669
Negative: -1 x -5671625-5 x -1134325-17 x -333625-25 x -226865-85 x -66725-125 x -45373-157 x -36125-289 x -19625-425 x -13345-785 x -7225-1445 x -3925-2125 x -2669


How do I find the factor combinations of the number 5,671,625?

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 5,671,625, 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 5,671,625
-1 -5,671,625

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 5,671,625.

Example:
1 x 5,671,625 = 5,671,625
and
-1 x -5,671,625 = 5,671,625
Notice both answers equal 5,671,625

With that explanation out of the way, let's continue. Next, we take the number 5,671,625 and divide it by 2:

5,671,625 ÷ 2 = 2,835,812.5

If the quotient is a whole number, then 2 and 2,835,812.5 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 5,671,625
-1 -5,671,625

Now, we try dividing 5,671,625 by 3:

5,671,625 ÷ 3 = 1,890,541.6667

If the quotient is a whole number, then 3 and 1,890,541.6667 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 5,671,625
-1 -5,671,625

Let's try dividing by 4:

5,671,625 ÷ 4 = 1,417,906.25

If the quotient is a whole number, then 4 and 1,417,906.25 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 5,671,625
-1 5,671,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851251572894257851,4452,1252,6693,9257,22513,34519,62536,12545,37366,725226,865333,6251,134,3255,671,625
-1-5-17-25-85-125-157-289-425-785-1,445-2,125-2,669-3,925-7,225-13,345-19,625-36,125-45,373-66,725-226,865-333,625-1,134,325-5,671,625

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