Q: What are the factor combinations of the number 362,570,407?

 A:
Positive:   1 x 36257040717 x 2132767119 x 19082653179 x 2025533323 x 11225093043 x 1191493401 x 1066076271 x 57817
Negative: -1 x -362570407-17 x -21327671-19 x -19082653-179 x -2025533-323 x -1122509-3043 x -119149-3401 x -106607-6271 x -57817


How do I find the factor combinations of the number 362,570,407?

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 362,570,407, 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.

1 362,570,407
-1 -362,570,407

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 362,570,407.

Example:
1 x 362,570,407 = 362,570,407
and
-1 x -362,570,407 = 362,570,407
Notice both answers equal 362,570,407

With that explanation out of the way, let's continue. Next, we take the number 362,570,407 and divide it by 2:

362,570,407 ÷ 2 = 181,285,203.5

If the quotient is a whole number, then 2 and 181,285,203.5 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:

1 362,570,407
-1 -362,570,407

Now, we try dividing 362,570,407 by 3:

362,570,407 ÷ 3 = 120,856,802.3333

If the quotient is a whole number, then 3 and 120,856,802.3333 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:

1 362,570,407
-1 -362,570,407

Let's try dividing by 4:

362,570,407 ÷ 4 = 90,642,601.75

If the quotient is a whole number, then 4 and 90,642,601.75 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:

1 362,570,407
-1 362,570,407
Keep dividing by the next highest number until you cannot divide anymore.

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

117191793233,0433,4016,27157,817106,607119,1491,122,5092,025,53319,082,65321,327,671362,570,407
-1-17-19-179-323-3,043-3,401-6,271-57,817-106,607-119,149-1,122,509-2,025,533-19,082,653-21,327,671-362,570,407

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