Q: What are the factor combinations of the number 170,220,677?

 A:
Positive:   1 x 17022067711 x 1547460717 x 1001298119 x 895898323 x 7400899187 x 910271209 x 814453253 x 672809323 x 526999391 x 435347437 x 3895212083 x 817193553 x 479094301 x 395774807 x 354117429 x 22913
Negative: -1 x -170220677-11 x -15474607-17 x -10012981-19 x -8958983-23 x -7400899-187 x -910271-209 x -814453-253 x -672809-323 x -526999-391 x -435347-437 x -389521-2083 x -81719-3553 x -47909-4301 x -39577-4807 x -35411-7429 x -22913


How do I find the factor combinations of the number 170,220,677?

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 170,220,677, 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.

1 170,220,677
-1 -170,220,677

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 170,220,677.

Example:
1 x 170,220,677 = 170,220,677
and
-1 x -170,220,677 = 170,220,677
Notice both answers equal 170,220,677

With that explanation out of the way, let's continue. Next, we take the number 170,220,677 and divide it by 2:

170,220,677 ÷ 2 = 85,110,338.5

If the quotient is a whole number, then 2 and 85,110,338.5 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:

1 170,220,677
-1 -170,220,677

Now, we try dividing 170,220,677 by 3:

170,220,677 ÷ 3 = 56,740,225.6667

If the quotient is a whole number, then 3 and 56,740,225.6667 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:

1 170,220,677
-1 -170,220,677

Let's try dividing by 4:

170,220,677 ÷ 4 = 42,555,169.25

If the quotient is a whole number, then 4 and 42,555,169.25 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:

1 170,220,677
-1 170,220,677
Keep dividing by the next highest number until you cannot divide anymore.

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

1111719231872092533233914372,0833,5534,3014,8077,42922,91335,41139,57747,90981,719389,521435,347526,999672,809814,453910,2717,400,8998,958,98310,012,98115,474,607170,220,677
-1-11-17-19-23-187-209-253-323-391-437-2,083-3,553-4,301-4,807-7,429-22,913-35,411-39,577-47,909-81,719-389,521-435,347-526,999-672,809-814,453-910,271-7,400,899-8,958,983-10,012,981-15,474,607-170,220,677

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 170,220,677:


Ask a Question