Q: What are the factor combinations of the number 430,024,045?

 A:
Positive:   1 x 4300240455 x 8600480911 x 3909309555 x 78186191931 x 2226954049 x 1062059655 x 4453920245 x 21241
Negative: -1 x -430024045-5 x -86004809-11 x -39093095-55 x -7818619-1931 x -222695-4049 x -106205-9655 x -44539-20245 x -21241


How do I find the factor combinations of the number 430,024,045?

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 430,024,045, 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.

1 430,024,045
-1 -430,024,045

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 430,024,045.

Example:
1 x 430,024,045 = 430,024,045
and
-1 x -430,024,045 = 430,024,045
Notice both answers equal 430,024,045

With that explanation out of the way, let's continue. Next, we take the number 430,024,045 and divide it by 2:

430,024,045 ÷ 2 = 215,012,022.5

If the quotient is a whole number, then 2 and 215,012,022.5 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:

1 430,024,045
-1 -430,024,045

Now, we try dividing 430,024,045 by 3:

430,024,045 ÷ 3 = 143,341,348.3333

If the quotient is a whole number, then 3 and 143,341,348.3333 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:

1 430,024,045
-1 -430,024,045

Let's try dividing by 4:

430,024,045 ÷ 4 = 107,506,011.25

If the quotient is a whole number, then 4 and 107,506,011.25 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:

1 430,024,045
-1 430,024,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,9314,0499,65520,24521,24144,539106,205222,6957,818,61939,093,09586,004,809430,024,045
-1-5-11-55-1,931-4,049-9,655-20,245-21,241-44,539-106,205-222,695-7,818,619-39,093,095-86,004,809-430,024,045

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