Q: What are the factor combinations of the number 7,475,875?

 A:
Positive:   1 x 74758755 x 149517511 x 67962525 x 29903555 x 135925125 x 59807275 x 271851375 x 5437
Negative: -1 x -7475875-5 x -1495175-11 x -679625-25 x -299035-55 x -135925-125 x -59807-275 x -27185-1375 x -5437


How do I find the factor combinations of the number 7,475,875?

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 7,475,875, 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 7,475,875
-1 -7,475,875

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 7,475,875.

Example:
1 x 7,475,875 = 7,475,875
and
-1 x -7,475,875 = 7,475,875
Notice both answers equal 7,475,875

With that explanation out of the way, let's continue. Next, we take the number 7,475,875 and divide it by 2:

7,475,875 ÷ 2 = 3,737,937.5

If the quotient is a whole number, then 2 and 3,737,937.5 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 7,475,875
-1 -7,475,875

Now, we try dividing 7,475,875 by 3:

7,475,875 ÷ 3 = 2,491,958.3333

If the quotient is a whole number, then 3 and 2,491,958.3333 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 7,475,875
-1 -7,475,875

Let's try dividing by 4:

7,475,875 ÷ 4 = 1,868,968.75

If the quotient is a whole number, then 4 and 1,868,968.75 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 7,475,875
-1 7,475,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,3755,43727,18559,807135,925299,035679,6251,495,1757,475,875
-1-5-11-25-55-125-275-1,375-5,437-27,185-59,807-135,925-299,035-679,625-1,495,175-7,475,875

More Examples

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