Q: What are the factor combinations of the number 5,725,175?

 A:
Positive:   1 x 57251755 x 114503517 x 33677519 x 30132525 x 22900785 x 6735595 x 60265323 x 17725425 x 13471475 x 12053709 x 80751615 x 3545
Negative: -1 x -5725175-5 x -1145035-17 x -336775-19 x -301325-25 x -229007-85 x -67355-95 x -60265-323 x -17725-425 x -13471-475 x -12053-709 x -8075-1615 x -3545


How do I find the factor combinations of the number 5,725,175?

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 5,725,175, 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 5,725,175
-1 -5,725,175

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 5,725,175.

Example:
1 x 5,725,175 = 5,725,175
and
-1 x -5,725,175 = 5,725,175
Notice both answers equal 5,725,175

With that explanation out of the way, let's continue. Next, we take the number 5,725,175 and divide it by 2:

5,725,175 ÷ 2 = 2,862,587.5

If the quotient is a whole number, then 2 and 2,862,587.5 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 5,725,175
-1 -5,725,175

Now, we try dividing 5,725,175 by 3:

5,725,175 ÷ 3 = 1,908,391.6667

If the quotient is a whole number, then 3 and 1,908,391.6667 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 5,725,175
-1 -5,725,175

Let's try dividing by 4:

5,725,175 ÷ 4 = 1,431,293.75

If the quotient is a whole number, then 4 and 1,431,293.75 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 5,725,175
-1 5,725,175
Keep dividing by the next highest number until you cannot divide anymore.

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

1517192585953234254757091,6153,5458,07512,05313,47117,72560,26567,355229,007301,325336,7751,145,0355,725,175
-1-5-17-19-25-85-95-323-425-475-709-1,615-3,545-8,075-12,053-13,471-17,725-60,265-67,355-229,007-301,325-336,775-1,145,035-5,725,175

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