Q: What are the factor combinations of the number 42,500,435?

 A:
Positive:   1 x 425004355 x 850008719 x 223686523 x 184784553 x 80189595 x 447373115 x 369569265 x 160379367 x 115805437 x 972551007 x 422051219 x 348651835 x 231612185 x 194515035 x 84416095 x 6973
Negative: -1 x -42500435-5 x -8500087-19 x -2236865-23 x -1847845-53 x -801895-95 x -447373-115 x -369569-265 x -160379-367 x -115805-437 x -97255-1007 x -42205-1219 x -34865-1835 x -23161-2185 x -19451-5035 x -8441-6095 x -6973


How do I find the factor combinations of the number 42,500,435?

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 42,500,435, 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 42,500,435
-1 -42,500,435

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 42,500,435.

Example:
1 x 42,500,435 = 42,500,435
and
-1 x -42,500,435 = 42,500,435
Notice both answers equal 42,500,435

With that explanation out of the way, let's continue. Next, we take the number 42,500,435 and divide it by 2:

42,500,435 ÷ 2 = 21,250,217.5

If the quotient is a whole number, then 2 and 21,250,217.5 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 42,500,435
-1 -42,500,435

Now, we try dividing 42,500,435 by 3:

42,500,435 ÷ 3 = 14,166,811.6667

If the quotient is a whole number, then 3 and 14,166,811.6667 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 42,500,435
-1 -42,500,435

Let's try dividing by 4:

42,500,435 ÷ 4 = 10,625,108.75

If the quotient is a whole number, then 4 and 10,625,108.75 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 42,500,435
-1 42,500,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15192353951152653674371,0071,2191,8352,1855,0356,0956,9738,44119,45123,16134,86542,20597,255115,805160,379369,569447,373801,8951,847,8452,236,8658,500,08742,500,435
-1-5-19-23-53-95-115-265-367-437-1,007-1,219-1,835-2,185-5,035-6,095-6,973-8,441-19,451-23,161-34,865-42,205-97,255-115,805-160,379-369,569-447,373-801,895-1,847,845-2,236,865-8,500,087-42,500,435

More Examples

Here are some more numbers to try:

42,500,43342,500,43442,500,43642,500,437
Try the factor calculator

Explore more about the number 42,500,435:


Ask a Question