Q: What are the factor combinations of the number 5,371,625?

 A:
Positive:   1 x 53716255 x 10743257 x 76737525 x 21486535 x 15347549 x 109625125 x 42973175 x 30695245 x 21925875 x 6139877 x 61251225 x 4385
Negative: -1 x -5371625-5 x -1074325-7 x -767375-25 x -214865-35 x -153475-49 x -109625-125 x -42973-175 x -30695-245 x -21925-875 x -6139-877 x -6125-1225 x -4385


How do I find the factor combinations of the number 5,371,625?

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 5,371,625, 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 5,371,625
-1 -5,371,625

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 5,371,625.

Example:
1 x 5,371,625 = 5,371,625
and
-1 x -5,371,625 = 5,371,625
Notice both answers equal 5,371,625

With that explanation out of the way, let's continue. Next, we take the number 5,371,625 and divide it by 2:

5,371,625 ÷ 2 = 2,685,812.5

If the quotient is a whole number, then 2 and 2,685,812.5 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 5,371,625
-1 -5,371,625

Now, we try dividing 5,371,625 by 3:

5,371,625 ÷ 3 = 1,790,541.6667

If the quotient is a whole number, then 3 and 1,790,541.6667 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 5,371,625
-1 -5,371,625

Let's try dividing by 4:

5,371,625 ÷ 4 = 1,342,906.25

If the quotient is a whole number, then 4 and 1,342,906.25 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 5,371,625
-1 5,371,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491251752458758771,2254,3856,1256,13921,92530,69542,973109,625153,475214,865767,3751,074,3255,371,625
-1-5-7-25-35-49-125-175-245-875-877-1,225-4,385-6,125-6,139-21,925-30,695-42,973-109,625-153,475-214,865-767,375-1,074,325-5,371,625

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