Q: What are the factor combinations of the number 43,001,315?

 A:
Positive:   1 x 430013155 x 86002637 x 614304535 x 1228609233 x 1845551165 x 369111631 x 263655273 x 8155
Negative: -1 x -43001315-5 x -8600263-7 x -6143045-35 x -1228609-233 x -184555-1165 x -36911-1631 x -26365-5273 x -8155


How do I find the factor combinations of the number 43,001,315?

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 43,001,315, 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 43,001,315
-1 -43,001,315

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 43,001,315.

Example:
1 x 43,001,315 = 43,001,315
and
-1 x -43,001,315 = 43,001,315
Notice both answers equal 43,001,315

With that explanation out of the way, let's continue. Next, we take the number 43,001,315 and divide it by 2:

43,001,315 ÷ 2 = 21,500,657.5

If the quotient is a whole number, then 2 and 21,500,657.5 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 43,001,315
-1 -43,001,315

Now, we try dividing 43,001,315 by 3:

43,001,315 ÷ 3 = 14,333,771.6667

If the quotient is a whole number, then 3 and 14,333,771.6667 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 43,001,315
-1 -43,001,315

Let's try dividing by 4:

43,001,315 ÷ 4 = 10,750,328.75

If the quotient is a whole number, then 4 and 10,750,328.75 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 43,001,315
-1 43,001,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6315,2738,15526,36536,911184,5551,228,6096,143,0458,600,26343,001,315
-1-5-7-35-233-1,165-1,631-5,273-8,155-26,365-36,911-184,555-1,228,609-6,143,045-8,600,263-43,001,315

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 43,001,315:


Ask a Question