Q: What are the factor combinations of the number 400,473,115?

 A:
Positive:   1 x 4004731155 x 800946237 x 5721044535 x 114420891249 x 3206356245 x 641278743 x 458059161 x 43715
Negative: -1 x -400473115-5 x -80094623-7 x -57210445-35 x -11442089-1249 x -320635-6245 x -64127-8743 x -45805-9161 x -43715


How do I find the factor combinations of the number 400,473,115?

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 400,473,115, 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.

1 400,473,115
-1 -400,473,115

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 400,473,115.

Example:
1 x 400,473,115 = 400,473,115
and
-1 x -400,473,115 = 400,473,115
Notice both answers equal 400,473,115

With that explanation out of the way, let's continue. Next, we take the number 400,473,115 and divide it by 2:

400,473,115 ÷ 2 = 200,236,557.5

If the quotient is a whole number, then 2 and 200,236,557.5 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:

1 400,473,115
-1 -400,473,115

Now, we try dividing 400,473,115 by 3:

400,473,115 ÷ 3 = 133,491,038.3333

If the quotient is a whole number, then 3 and 133,491,038.3333 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:

1 400,473,115
-1 -400,473,115

Let's try dividing by 4:

400,473,115 ÷ 4 = 100,118,278.75

If the quotient is a whole number, then 4 and 100,118,278.75 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:

1 400,473,115
-1 400,473,115
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,2496,2458,7439,16143,71545,80564,127320,63511,442,08957,210,44580,094,623400,473,115
-1-5-7-35-1,249-6,245-8,743-9,161-43,715-45,805-64,127-320,635-11,442,089-57,210,445-80,094,623-400,473,115

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