Q: What are the prime factors of the number 415,300,200?

 A: 2, 3, 5, 7, 61, 1621

Why are those the prime factors of the number 415,300,200?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 415,300,200

415,300,200
Factor Arrows
2207,650,100
Factor Arrows
2103,825,050
Factor Arrows
251,912,525
Factor Arrows
317,304,175
Factor Arrows
53,460,835
Factor Arrows
5692,167
Factor Arrows
798,881
Factor Arrows
611,621

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 7, 61, 1621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 7 x 61 x 1,621 = 415,300,200

This can also be written as 23 x 31 x 52 x 71 x 611 x 1,6211 = 415,300,200

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 415,300,200:


Ask a Question