Q: What are the factor combinations of the number 56,962,345?

 A:
Positive:   1 x 569623455 x 1139246911 x 517839531 x 183749555 x 1035679155 x 367499341 x 1670451705 x 33409
Negative: -1 x -56962345-5 x -11392469-11 x -5178395-31 x -1837495-55 x -1035679-155 x -367499-341 x -167045-1705 x -33409


How do I find the factor combinations of the number 56,962,345?

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 56,962,345, 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 56,962,345
-1 -56,962,345

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 56,962,345.

Example:
1 x 56,962,345 = 56,962,345
and
-1 x -56,962,345 = 56,962,345
Notice both answers equal 56,962,345

With that explanation out of the way, let's continue. Next, we take the number 56,962,345 and divide it by 2:

56,962,345 ÷ 2 = 28,481,172.5

If the quotient is a whole number, then 2 and 28,481,172.5 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 56,962,345
-1 -56,962,345

Now, we try dividing 56,962,345 by 3:

56,962,345 ÷ 3 = 18,987,448.3333

If the quotient is a whole number, then 3 and 18,987,448.3333 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 56,962,345
-1 -56,962,345

Let's try dividing by 4:

56,962,345 ÷ 4 = 14,240,586.25

If the quotient is a whole number, then 4 and 14,240,586.25 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 56,962,345
-1 56,962,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,70533,409167,045367,4991,035,6791,837,4955,178,39511,392,46956,962,345
-1-5-11-31-55-155-341-1,705-33,409-167,045-367,499-1,035,679-1,837,495-5,178,395-11,392,469-56,962,345

More Examples

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