Q: What are the factor combinations of the number 42,532,415?

 A:
Positive:   1 x 425324155 x 850648329 x 146663547 x 90494579 x 538385145 x 293327235 x 180989395 x 1076771363 x 312052291 x 185653713 x 114556241 x 6815
Negative: -1 x -42532415-5 x -8506483-29 x -1466635-47 x -904945-79 x -538385-145 x -293327-235 x -180989-395 x -107677-1363 x -31205-2291 x -18565-3713 x -11455-6241 x -6815


How do I find the factor combinations of the number 42,532,415?

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 42,532,415, 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 42,532,415
-1 -42,532,415

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 42,532,415.

Example:
1 x 42,532,415 = 42,532,415
and
-1 x -42,532,415 = 42,532,415
Notice both answers equal 42,532,415

With that explanation out of the way, let's continue. Next, we take the number 42,532,415 and divide it by 2:

42,532,415 ÷ 2 = 21,266,207.5

If the quotient is a whole number, then 2 and 21,266,207.5 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 42,532,415
-1 -42,532,415

Now, we try dividing 42,532,415 by 3:

42,532,415 ÷ 3 = 14,177,471.6667

If the quotient is a whole number, then 3 and 14,177,471.6667 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 42,532,415
-1 -42,532,415

Let's try dividing by 4:

42,532,415 ÷ 4 = 10,633,103.75

If the quotient is a whole number, then 4 and 10,633,103.75 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 42,532,415
-1 42,532,415
Keep dividing by the next highest number until you cannot divide anymore.

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

152947791452353951,3632,2913,7136,2416,81511,45518,56531,205107,677180,989293,327538,385904,9451,466,6358,506,48342,532,415
-1-5-29-47-79-145-235-395-1,363-2,291-3,713-6,241-6,815-11,455-18,565-31,205-107,677-180,989-293,327-538,385-904,945-1,466,635-8,506,483-42,532,415

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