Q: What are the factor combinations of the number 42,851,875?

 A:
Positive:   1 x 428518755 x 857037511 x 389562523 x 186312525 x 171407555 x 779125115 x 372625125 x 342815253 x 169375271 x 158125275 x 155825575 x 74525625 x 685631265 x 338751355 x 316251375 x 311652875 x 149052981 x 143756233 x 68756325 x 6775
Negative: -1 x -42851875-5 x -8570375-11 x -3895625-23 x -1863125-25 x -1714075-55 x -779125-115 x -372625-125 x -342815-253 x -169375-271 x -158125-275 x -155825-575 x -74525-625 x -68563-1265 x -33875-1355 x -31625-1375 x -31165-2875 x -14905-2981 x -14375-6233 x -6875-6325 x -6775


How do I find the factor combinations of the number 42,851,875?

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 42,851,875, 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 42,851,875
-1 -42,851,875

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 42,851,875.

Example:
1 x 42,851,875 = 42,851,875
and
-1 x -42,851,875 = 42,851,875
Notice both answers equal 42,851,875

With that explanation out of the way, let's continue. Next, we take the number 42,851,875 and divide it by 2:

42,851,875 ÷ 2 = 21,425,937.5

If the quotient is a whole number, then 2 and 21,425,937.5 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 42,851,875
-1 -42,851,875

Now, we try dividing 42,851,875 by 3:

42,851,875 ÷ 3 = 14,283,958.3333

If the quotient is a whole number, then 3 and 14,283,958.3333 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 42,851,875
-1 -42,851,875

Let's try dividing by 4:

42,851,875 ÷ 4 = 10,712,968.75

If the quotient is a whole number, then 4 and 10,712,968.75 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 42,851,875
-1 42,851,875
Keep dividing by the next highest number until you cannot divide anymore.

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

15112325551151252532712755756251,2651,3551,3752,8752,9816,2336,3256,7756,87514,37514,90531,16531,62533,87568,56374,525155,825158,125169,375342,815372,625779,1251,714,0751,863,1253,895,6258,570,37542,851,875
-1-5-11-23-25-55-115-125-253-271-275-575-625-1,265-1,355-1,375-2,875-2,981-6,233-6,325-6,775-6,875-14,375-14,905-31,165-31,625-33,875-68,563-74,525-155,825-158,125-169,375-342,815-372,625-779,125-1,714,075-1,863,125-3,895,625-8,570,375-42,851,875

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