Q: What are the factor combinations of the number 71,672,575?

 A:
Positive:   1 x 716725755 x 1433451513 x 551327525 x 286690365 x 110265583 x 863525325 x 220531415 x 1727051079 x 664252075 x 345412657 x 269755395 x 13285
Negative: -1 x -71672575-5 x -14334515-13 x -5513275-25 x -2866903-65 x -1102655-83 x -863525-325 x -220531-415 x -172705-1079 x -66425-2075 x -34541-2657 x -26975-5395 x -13285


How do I find the factor combinations of the number 71,672,575?

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 71,672,575, 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 71,672,575
-1 -71,672,575

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 71,672,575.

Example:
1 x 71,672,575 = 71,672,575
and
-1 x -71,672,575 = 71,672,575
Notice both answers equal 71,672,575

With that explanation out of the way, let's continue. Next, we take the number 71,672,575 and divide it by 2:

71,672,575 ÷ 2 = 35,836,287.5

If the quotient is a whole number, then 2 and 35,836,287.5 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 71,672,575
-1 -71,672,575

Now, we try dividing 71,672,575 by 3:

71,672,575 ÷ 3 = 23,890,858.3333

If the quotient is a whole number, then 3 and 23,890,858.3333 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 71,672,575
-1 -71,672,575

Let's try dividing by 4:

71,672,575 ÷ 4 = 17,918,143.75

If the quotient is a whole number, then 4 and 17,918,143.75 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 71,672,575
-1 71,672,575
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565833254151,0792,0752,6575,39513,28526,97534,54166,425172,705220,531863,5251,102,6552,866,9035,513,27514,334,51571,672,575
-1-5-13-25-65-83-325-415-1,079-2,075-2,657-5,395-13,285-26,975-34,541-66,425-172,705-220,531-863,525-1,102,655-2,866,903-5,513,275-14,334,515-71,672,575

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