Q: What are the factor combinations of the number 24,478,175?

 A:
Positive:   1 x 244781755 x 489563519 x 128832525 x 97912729 x 84407595 x 257665145 x 168815475 x 51533551 x 44425725 x 337631777 x 137752755 x 8885
Negative: -1 x -24478175-5 x -4895635-19 x -1288325-25 x -979127-29 x -844075-95 x -257665-145 x -168815-475 x -51533-551 x -44425-725 x -33763-1777 x -13775-2755 x -8885


How do I find the factor combinations of the number 24,478,175?

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 24,478,175, 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 24,478,175
-1 -24,478,175

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 24,478,175.

Example:
1 x 24,478,175 = 24,478,175
and
-1 x -24,478,175 = 24,478,175
Notice both answers equal 24,478,175

With that explanation out of the way, let's continue. Next, we take the number 24,478,175 and divide it by 2:

24,478,175 ÷ 2 = 12,239,087.5

If the quotient is a whole number, then 2 and 12,239,087.5 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 24,478,175
-1 -24,478,175

Now, we try dividing 24,478,175 by 3:

24,478,175 ÷ 3 = 8,159,391.6667

If the quotient is a whole number, then 3 and 8,159,391.6667 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 24,478,175
-1 -24,478,175

Let's try dividing by 4:

24,478,175 ÷ 4 = 6,119,543.75

If the quotient is a whole number, then 4 and 6,119,543.75 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 24,478,175
-1 24,478,175
Keep dividing by the next highest number until you cannot divide anymore.

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

15192529951454755517251,7772,7558,88513,77533,76344,42551,533168,815257,665844,075979,1271,288,3254,895,63524,478,175
-1-5-19-25-29-95-145-475-551-725-1,777-2,755-8,885-13,775-33,763-44,425-51,533-168,815-257,665-844,075-979,127-1,288,325-4,895,635-24,478,175

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